Index for E. T. Jaynes : Probability Theory		Prepared by Arnold Baise, May 2010						Updated February 2022
a priori probabilities	87
Abel, Niels Henrik
associativity equation	27
Aczél, J.
functional equations	27	33	668
ad hoc/hockery	xxiii	xxviii	4	9n	22	47	117	135	137	143	154n	174n	179
	217	239n	243	252	264	346	467	469	485	488	508	510	551-52
	562	574	649	673
ancillarity	253
decision theory	397	432
Fisher, R. A.	253	492
Jeffrey, R. C.	140
Jeffreys, H.	484
outliers, robustness	616-18
theorems of Cox vs ad hoc	xxiii	47	117	143	252	264	488	508	562
time series	534-35
Adams, John Couch
discovery of Neptune	134-35	137
additive measure	270
Kolmogorov, A. N.	653
Savage, L. J.	657
Venn diagram	48	262
additivity
de Finetti, B.	xxi	464	466	656
Feller, W.	465-66	663
finite/countable	464-67	485
independent	97-98	104
Kolmogorov, A. N.	466	652-53	656
adequate set of operations	12-16	34-35	652
admissible/inadmissible	241	508	526
decision theory strategy	408-09	415	419	438
parameter estimation	618n
Akaike, H.
data dependent prior	266
Ames, Adelbert Jr
visual perception	132	132n	133
ancillary statistic/information	xxiii	212n	252-56	497	510	550-51
Andrews, D. F.
mixtures of Gaussian distributions	238n
Anscombe, Francis J.
hypothesis testing	305
Ap distribution	9	553-88
Arbuthnot, John
hypothesis testing	136-37	137n
Aristotelian logic/propositions	9	13	16	23	30	35	45n	146n	554	560	652	661
non-Aristotelian	16	146n	560	601
Aristotle
deductive reasoning	4	4n
Armitage, P.
stopping rule	167
autoregressive model	80	125
backward inference	62	80-81
barber paradox	673
Barnard, George A.
Gaussian distribution	198	207	210	216
likelihood principle	250-52
Bateman, F.
telepathy	120	328n
Bayes theorem	112
and ancillarity	253-56
and Ap distribution	554-56
and converging views	129-32
and decision theory	413-18
and discovery of Neptune	134-39
and Hume	499
and model comparison	604-07
and R.C. Jeffrey	140-43
and significance tests	293-99	300-05
and sufficiency	246-50
Bell, E. T.
Men of Mathematics	665	665n	676
Bellman, R.
entropy/utility	402
neutron multiplication	579
Berger, James O.
decision theory	407-08	415	420
likelihood principle	252
Bernardo, José M.
hypothesis testing	120
Bernoulli, Daniel
decision theory	398-99	400-01	404-05	418
error analysis	203-04	209	234n
hypothesis testing	137-38
St Petersburg game	398-99	404
Bernoulli, James
class of hypotheses	121	297-98	300	305
limit theorem	189	292
probability and frequency	204	284	290	292-933	295
trial	164	166	382	385
urn	42-43	51-52	59-60	67	73	82	153	164	496
Bertrand, J. L.
infinite sets	486
prior information	195-97
Bertrand paradox	386-96
beta
distribution	189	199
function	112	115	563
binomial distribution	69-71	75-76	79	83	95	105	111	120-22	155-56	160	162-63	169-70	199
	204	243	248	278	284	294	301	330	365	462	467	531	562
	578	648
Birnbaum, Alan
likelihood principle	251-52
Blackman, Ralph B.
periodicity	505	524n
Blackwell, David
zero probability	355n
Blackwell-Rao theorem	247-48
Bloomfield, Peter
periodicity	521-22	524n
Bohr, Niels
quantum theory	61n	328
Boltzmann, Ludwig
statistical mechanics	229	241	315	441
Boole, George
criticism of Laplace	315-16
Boolean algebra	9-11	23	26	34-35	48-49	59	62	64	66	101	107	166	249
	369	464	652	654	661
Borel, Émile
Bertrand paradox	386	393
field	628	676
Borel-Kolmogorov paradox	110-11	467	487	654
Boring, E. G.
parapsychology	120
Bortkiewicz, Ladislaus von
radioactivity	177
Bose-Einstein statistics	285	447
Bourbaki, Nicolas
infinite sets	xxii	452	673
Box, George E. P.
significance tests	304
Bredin, Jean-Denis
diverging views	128
Bretthorst, G. Larry
Bayesian Spectrum Analysis ...	xxiv	xxviii	125	208n	209	239n	473n	497	505	530n	552
bridge hands	321-23
Broad, C. D.
rule of succession	155
Brouwer, L. E. J.
logic and infinite sets	673
Buck, Brian
Maximum Entropy in Action	xxiv
Buffon needle problem	386
Cantor, Georg
set theory	666
Cantrell, see Cantril
Cantril, Hadley
visual perception	132-33
Carnap, Rudolf
inductive methods	279	573-74
rule of succession	279	279n	383	571
Cauchy distribution	212n	218	224	248	502	503n	551	600
causal versus logical independence	4-5	83-84	88	91-92	98	118	162-64	169	258	260	266	285	585
	695
censored data	164n	168
central limit theorem	199	204	206	209	221-26	242	437	448	532	592	610
and computation accuracy	224
change-point problem	474
characteristic function	223-24
Chauvenet criterion	616
Chebyshev, see Tchebycheff
Cheeseman, Peter
Bayesian inference	552
Chernoff, Herman
decision theory	374	400	407	419-21	441	514
chi-squared
distribution	284	303
test	122	135	284	299	300-05	394	495n	523n	534	581
coherence	372	425	655-56
coin tossing	61n	82	164	251-52	268	277-79	300-01	317-21	329-39	398-99	553	573-74
communication theory	627
encoding	638
with digram frequencies	641
history	521n	627-28
and Markov chain	645	647
and maximum entropy	365
noiseless channel	628-34
noisy channel	648
complete class theorem	408	412	415
complete ignorance	113	181-83	284	373-74	377-79	381	383-85	395-96	478-80	484-85	573	575
conditionality principle	251-52
confidence intervals	xxiii	241	377	385	492	495n	510	576-77	583-85	673-74	674n
conglomerability	453-54	457
convergence/divergence of opinions	126-32
convolution	205	221-23	227	236	242	522	667	677-79
Copi, Irving M.
Aristotelian logic	16
correlation	75-77	79-81	125	137	207	207n	215	226	267	285	288	330	387
	529	534-35	584	609	641
coefficient	467	494	538	545
countable additivity	464-66
Cournot, A. A.
criticism of Laplace	137n	315
covariance	361-62
matrix	215	546-49
Cox, Richard T.
probability rules and logic	37	325
product rule	24-30
sum rule	30-35
theorems of Cox vs ad hoc	xxiii	47	117	143	252	264	488	508	562
Craig, John
early view of probability	116
Cramér, Harald
chi-squared test	299	303
criticism of Laplace	493
estimators	511	520	669-70
frequentist vs Laplace calculation	580
maximum likelihood	175
meaning of probability	61n	293	317-18	329	562
Cramér-Rao inequality	412	518
Crow, Edwin L.
Statistics Manual	303	526
cumulants	222	362	677-81
Darwin, Charles
evolution
Bayesian inference	132
cause-and-effect	312
humming birds and flowers	231	231n	232	232n
population dynamics	229-30	230n
psi-test and Bayesian reasoning	298
visual perception	132-33	561
Darwin-Fowler method	441	631
Dawid, A. Philip
DSZ (marginalization paradox)	470-88
Dawkins, Richard
evolution	232n
decibels	91-93	117	294	296-98
decision theory
criterion
Bayes	431-33
maximin	436
minimax	407	431	435-36
minimin	407
and inference	397-98	405-07
loss function	400	407	409-24	430-38
Neyman-Pearson	432	436-38
and objectivity	418-21
Wald	406-09	421	424	438
widget problem	440-50
de Finetti, Bruno
additivity	xxi	464	466
coherence	372	425
induction	279
Kolmogorov's system	653n
non-conglomerability	xxi	453
probability rules and common sense	37
representation theorem	317	337	586-88	620
system of probability	xxi	655-56
de Groot, Morris H.
best estimator	248
decision theory	420
Gaussian distributions	215
delta function	108	111-12	186n	189	223	223n	238	253	410	520	668-70
de Moivre, Abraham
de Moivre-Laplace limit theorem	113	189	290	292
Gaussian distribution	203	241
product rule	112
de Morgan, Augustus
defense of Laplace	316
Gaussian distribution	198	207	210	214	216	218
desideratum/desiderata	9	16-17	19	22	24-26	29-30	34	37	39-41	44-45	51	73	86-87
	127	140	143	146n	166	182	210	217-18	244	248n	264-65	335	369
	379	382	388-89	391	418	423	507	528	651	656-57	662
detrending/seasonal adjustment	xxvii	535-49
Devinatz, Allen
truth table	12
Dirac, P. A. M.
delta-functions	668
Dirichlet, P. G. Lejeune
Dirichlet priors	125
Fourier theory	667
disjunctive normal form	15	34
distribution
Ap	9	553-88
beta	189	199
binomial	69-71	75-76	79	83	95	105	111	120-22	155-56	160	162-63	169-70	199
	204	243	248	278	284	294	301	330	365	462	467	531	562
	578	648
Cauchy	212n	218	224	248	502	503n	551	600
chi-squared	284	303
exchangeable	62	77	80-81	137
Gaussian	113	189	198-99	200-21	225-41	243	246	448	498	501-02	513	527-30	537
	550-51	592-94	596	600	610	625	680
bivariate	467	479	491	550
derivation
Gauss	202-04	220	241
Herschel-Maxwell	200-01	204	529
Landon	205-06	206n
history normal/Gaussian distribution	203	240-41
multivariate	493-94
hypergeometric	56-59	62	68-71	83-84	150	152-53	159	278-79	563
Maxwell	201	241
multinomial	71	284	351-52	578	640
Poisson	170-71	185	189	284	294-95	304	382	516	518
predictive	154	498
pseudoposterior	479	485
rectangular	190-91	225	243	248
sampling	xxivn	xxviii	84-85	88-89	94	164
Student's t	551
uniform	179	204	291	322	331	338	386	466	470
divergence/convergence of opinions	126-32
DSZ, see Dawid, A. Philip
Dyson, Freeman J.
Lighthill and delta-functions	223n	668
economics	199	208n	233	267n	505	510	514	520	534-35
Edwards, Anthony W. F.
Bayesian reasoning	335
likelihood	252
Edwards, Harold M.
Kronecker vs. Weierstrasz	665	665n	666
efficient estimator	377	412	520n
Einstein, Albert
comparison with Gaussian derivation	201
Einstein vs Newton	135	147	504n
Einstein-Galton comparison	229	232	235
Ellis, Robert Leslie
criticism of Laplace	315
Emperor of China fallacy	258	337
entropy	121-22	221	232n	234	247n	257	285-91	298	346	351	364	371	375
	402-04	429-30	480	484	627	634	644
concentration theorem	353n	630	632
maximum	xxiii	xxiv	88	94n	141	206n	208	216-17	217n	232n	241-42	287n	288
	290-92	335	351	353-56	358-74	376-77	396	426	437	440-41	444	446	450
	519-20	534	544	563-64	576-77	592	595	602n	610	614	632	638-39	641
	647	655
estimator	172-74	247-48	252-53	253n	254n	410-14	417	423	493-94	500-03	507	507n
	510	514n	533	551	600
Bayesian	516	536-41	544-45
efficient	377	412	520n
maximum likelihood (MLE)	175-76	175n	180	182	202	204	211-12	211n	416	575	604	609
optimal	xxiii	172	212	412-13	416-17	501	540-42
robust	174	618	618n
unbiased	377	412	492	495n	508	510-19	520n	534	541	670
unbiased minimum variance (UMV)	412	520
Euler, Leonhard
angle	332	333n
integral	112	165	563
Jupiter/Saturn great inequality	203	225-26	234	234n	589	591	598
evolution, Darwinian
Bayesian inference	132
cause-and-effect	312
humming birds and flowers	231	231n	232	232n
population dynamics	229-30	230n
psi-test and Bayesian reasoning	298
visual perception	132-33	561
exchangeability	64	81	292
theorem	317	337	586-88	620	655
exchangeable
distribution	62	77	80-81	137
prior	620
sampling	244
sequence	125	292	337	344	576	586	588	640
extrasensory perception (ESP)	119-26	128	133	140
fallacy
Emperor of China	258	337
mind projection	22-23	74-75	83	92	108	113	131	212n	316	411	500	506	526n
	552	601	609	628
sample-reuse	264-66
Feller, William
additivity	465-66
binomial identities	69
bridge hands	321-23
calculating tricks	268
criticism of Laplace and Jeffries	493
Gaussian sampling distributions	198	207	210-11	211n	216
measure theory	663-64
periodicity	505	524n	525-26
sampling distribution calculations	88
St Petersburg paradox	404
Fine, Terrence L.
approaches to probability	657
Kolmogorov system	653
finite additivity	xxi	464-67	485
Fisher, Sir Ronald A.
and Gödel	46
and Jeffreys	293	493-95	495n	496-97	497n	498-99	604
and Laplace	279n	293	315	493	495
and Neyman	492-93	495n	496	499
and Pearson	303n	495	495n
biography: Joan Fisher Box	493
decision theory	405
evolution	231n
information	256-57
likelihood principle	251-52
orthodox methods	492	510	550-51	604
parameter estimation	149	503
efficient estimator	412	520
maximum likelihood estimate (MLE)	175	195-96	414
unbiased estimator	514-15
periodicity	505	521	523-24	524n	525-26
randomization	495n	497n
rule of succession	279n	568
sufficiency, ancillarity	212n	244-49	251	253-56
fluctuation-dissipation theorems	232
Fokker-Planck equation	206n	207
Fourier analysis
Bretthorst: Fourier vs Bayesian analysis	xxvii	125	552
nature of mathematical functions	667-70
periodic data	521-22	536
resolution of distributions into Gaussians	235-36	238
Fraser, D. A. S.
group theory and fiducial probability	378
likelihood principle	251
marginalization paradox	470	474-75	478-79	481
Fredholm integral equation	482
frequentist probability	xxii	xxiii	75	270	280	284	289	314-15	334	336	339	404	411
	508	576	579	583	635
functional equation	25-33	45	65	201	224	347-48	351	353	379-82	384	389-90	396	486
	653	668
Galileo
infinite sets	672
Galle, Johann Gottfried
planet Neptune	134
Galton, Sir Francis
biographical	227n
evolution	229-32	312n
Gaussian distribution	235-36	238-40	491
reversion to the mean	227-29
gambler's ruin	402
Gardner, Martin
causal effects	197n
Gauss, Carl Friedrich
infinite sets and limits	xxii	44	108	110	451-52	455	464-66	486	663
Gaussian, see distribution, Gaussian
Geisser, Seymour
Fisher-Jeffreys comparison	496	499
marginalization paradox	479	483
generalized
ancillary information	254-55
inverse problem	50	175n	239	595
sufficiency	248
Gibbs, J. Willard
ensembles	292	371	447
Liouville's theorem	333
maximum entropy	232n	290-91	364-65	370-71
Glymour, Clark N.
causal versus logical independence	98
Gnedenko, B. V.
Bertrand paradox	386
Gödel, Kurt
incompleteness theorem	7	12	16	45-47	83	350	423
Good, I. J.
biased coin	317-18
extrasensory perception	125
Hempel's paradox	144
logarithm-of-odds	116
Gosset, W. S. (Student)
randomization	495n
Gould, Stephen J.
Burgess shale analysis	196	312n
evolution	232
Graunt, John
Bills of Mortality	306
Gray, C. G.
Gaussian noise	208n
great inequality of Jupiter and Saturn	203	234	589
Greenwood, Major
medical statistics	309
Grosser, Morton
planet Neptune	134
group invariance	40	88	332	423	480
group theory	332	335	378	673n
Haar, Alfréd
measure	49	378
Haldane, J. B. S.
prior	166	575
Halley, Edmund (also Edmond)
Jupiter/Saturn great inequality	234-35
mortality tables	305-10	535
Hamilton, A. G.
logic	12	16
Hanbury Brown-Twiss interferometer	207n
Hansel, C. E. M.
parapsychology	126
Hansen, W. W.
classical matched filter	439
Hardy, G. H.
nondifferentiable functions	669n
Harr, see Haar
Hartigan, J.
groups of transformations	378
Hartley, Ralph
communication theory	629
Hausdorff, Felix
moment problem	587
sphere paradox	672-74
Hedges, L. V.
meta-analysis	258
Helmholtz, Hermann von
causality	490	503
Hempel paradox	143-44	486	488
Hermite, Charles
nondifferentiable functions	668
Hermite polynomials	236
Herschel, John
Gaussian distribution	200-01	204	529
Herschel, Sir William
planet Uranus	134
Hilbert space	249	483
Hill, Bruce M.
tumbling tetrahedra	456
Howson, Colin
converging views	127
Hoyt, William G.
planet Pluto	139
Huber, Peter J.
robust statistics	617
Hume, David
induction	276	310-11
Huygens principle of optics	141	428
hypergeometric distribution	56-59	62	68-71	83-84	95	150	152-53	159	278-79	563
hypothesis testing	61-62	86-118	149	163	250	253	305	310	343	404	418	491-92	606n
	625
iid	212	526	526n
implication
logical	11-13	35	45n	132n
logical vs causal	4-5	61
improper prior	160	165-66	415	471-72	474-79	481	485	487-88
independence
logical	97	111	136	162-63	177	185	226	264-65	277	514	653
logical vs causal	83-84	88	91-92	98	118	162-64	169	258	260	266	285	585
indifference, principle of	40	51	94	262	274	331-32	338	343	353	386-87	394-95	418	564-65
	571	573
induction
mathematical	38	77	79	223	349
inferential	155	270	276-80	310-12	326	499
reverse	278-79
inductive reasoning	xix	45n	208	277-79	284	311	314	323	325-26	335	339	370-71	377
	383	386	491	499	521	557	571	573-74	585	600	660
infinite
population	82-83	498
regress	252	324-25	439
sets	xxii	21	43-44	108-09	451-53	456	458-59	462	464-66	485-87	652	663-64	671-74
insurance	400-02	404	421	578
interval estimation	149	163	168	186	250	253	385	550
invariant measure	333	375	378	396
jackknife	174n
Jacobian	244	266	379	392	468
Jaynes, E. T.
analysis of NMR signals	125
Bayes and human reasoning	133
Bayes vs ad hockery	143
Bertrand's paradox solution	393
Cauchy distribution	503n	551
causality and quantum theory	328
correlations in a posterior pdf	267n
criticism of Boole	10
entropy and Shannon's theorem	350
Gibbs and statistical mechanics	371
ignorance priors	374
Kolmogorov vs de Finetti	xxi
Liouville's theorem	232n
marginalization paradox	470	473n	476n	482-84	662
orthodox tests	526	544	674
probability and frequency connections	292
proposition Ap	554
quantifying Pólya's analysis	xx
sampling variance inequality	520
statistical mechanics as logical inference	291
testing with psi vs chi-squared	299
widget problem	440
Jeffrey, Richard C. (RCJ)
misapplying Bayes theorem	140-42	144
Jeffreys, Sir Harold
and Fisher	484n	493-95	495n	496-97	497n	498-99
and Gödel	46n
and Neyman	496-97
confidence intervals	674
hypothesis testing	135	504n	524
induction	311	326	371
limb-sawing reasoning	524
marginalization paradox	479	483-84	489
nature of probability	270	293	325
notation	472-74	484
prior information importance	178	279	473n	484
rule of succession	155	383	564	566	568
Student's t-distribution	551
sufficiency	244
Jeffreys prior	166	181-83	186	377	380-81	385	395	423	476	476n	478	481-82	498
	530
Jevons, W. Stanley
defender of Laplace	316
Johnson, Rodney W.
causal versus logical independence	98
Johnson, W. E.
probability and induction	155	279
Jupiter/Saturn great inequality	203	234	589
Kac, Mark
measure theory	664
Kadane, Joseph B.
nonconglomerability	453
Kahneman, Daniel
subjective probability	128	132
Kempthorne, Oscar
likelihood principle	251
linear regression	551
Kendall, Sir Maurice
calculating sampling distributions	88
decision theory	405	493
geometric probability	386-87
non-Gaussian distributions	551
unbiased estimates	518
Kendell, see Kendall
Kennard, Earle H.
kinetic theory of gases	241
Keynes, John Maynard
causal versus logical independence	585
criticism of Boole	10
economic processes	228n	233
parameter estimation	211
plausibility notation	17
principle of indifference	40
rule of succession	564
Khinchin, A. I.
information theory	628
Kline, Morris
infinite sets	xxii	xxvii	451	673
Kronecker vs. Weierstrasz	665
Kolmogorov, A. N.
axiomatic system	xxi	49-50	466	651-53	653n	654	654n	655-56
Borel-Kolmogorov paradox	110-11	467	487	654
Koopman, B. O.
Pitman-Koopman theorem	247n	519
Kronecker, Leopold
Kronecker vs. Weierstrasz	665	665n	666
Kullback-Leibler information	403
Kurtz, Paul
parapsychology	126
Lancaster, H. O.
chi-squared	304
Landon, Vernon D.
Gaussian distribution derivation	205-06	206n	437
Lane, David A.
Fisher-Jeffreys comparison	496
Laplace, Pierre Simon
criticism of Laplace	293	315-16	495
definition of probability	43
Gaussian distribution	203-04
hypothesis testing	137	137n	138
Jupiter/Saturn great inequality	234-35	589	591
Laplace and frequentism	314	578
Laplace-Bayes and the brain	659-60
parameter estimation	172-75
sufficiency	244	248
suspending natural laws	124
uniform prior	112	377	383	385-86	568
utility of money	399	400
Wald decision theory	438
Laplace rule of succession	155	165	292	383	385-86	563-64	564n	565-68	570-71	574-79	581-85	588
and Carnap induction	279	279n	574
lattice theory	657	659
law of large numbers	74-75	292	336-37	353
least squares	xxviii	172	175	299	539-42	591-92	595	609	611-12
Lebesgue, Henri
measure	44	663
nondifferentiable functions	669
Lebesgue-Stieltjes integral	628
Legendre, Adrien Marie
functions	587
polynomials	545
transformation	359-60	364
Lehmann, E. L.
hypothesis testing	510	697
Leverrier, Urbain
discovery of Neptune	134-35	137-38
Lighthill, Sir Michael J.
generalised functions	223n	668	668n
likelihood	xxviii	89	121	166	178	178n	183	191	213-14	216	250	255	263
	265	267	314	480	482-83	487-88	494	507	526	538	545	602	604-05
	607	625
asymptotic	256-57
log	91	129	256	532-33
maximum	xxviii	121	175-76	175n	180	182	195	202	204	211-12	316	414	416
	492	495n	510-11	575	594-95	603-05	607	609	611
principle	250-54	505	603
quasi-	529-30	622-24
ratio	90-91	122	138	265	433	556	610	612
limb-sawing reasoning	524n
limit theorems	74-75	284-85	330	337	337	515
Lindemann, Ferdinand von
π transcendental	143	665
Lindley, Dennis V.
parapsychology	120
linear regression	497	541-42	551
Liouville's theorem	232n	333
Little, Roderick J. A.
missing data	534
logic
Aristotelian	9	13	16	23	30	35	45n	146n	554	560	652	661
non-Aristotelian	16	146n	601
logical vs causal independence	4-5	83-84	88	91-92	98	118	162-64	169	258	260	266	285	585
logit	116
loss function	400	407	409-24	430-38
quadratic	376	385	411	413	512	539	600	625
Machol, Robert E.
strategy in sports	422
magnification	300	534
marginal
posterior distribution	150	219	250	471	475	481	483-85	537-38	548	622
distribution	215	244-45	256	467-68	473	485	539
utility	399
marginalization paradox	55	144	166	219	244	458	470	479	484	486-88	565n	662
Markov chain	77	80	460	645	647
maximum entropy	xxiii	xxiv	88	94n	141	206n	208	216-17	217n	232n	241-42	287n	288
	290-92	335	351	353-56	358-74	376-77	396	426	437	440-41	444	446	450
	519-20	534	544	563-64	576-77	592	595	602n	610	614	632	638-39	641
	647	655
maximum likelihood	xxviii	121	175-76	175n	180	182	195	202	204	211-12	316	414	416
	492	495n	510-11	575	594-95	603-05	607	609	611
estimator (MLE)	175-76	175n	180	182	202	204	211-12	211n	414	416	575	604	609
Maxwell, James Clerk
demon	207n
distribution	201	241
probability and kinetic theory	394
measure theory	44	109	628	663-65	674
additive	48	262	270	653	657
invariant	333	375	378	396
meta-analysis	258	260-61	266
Middleton, David
decision theory	404	426	438-39	510
mind projection fallacy	22-23	74-75	83	92	108	113	131	212n	316	411	500	506	526n
	552	601	609	628
Mises, Richard von
anti-Bayesian	293	493
Bertrand paradox	386	393
collective theory	415
missing data	533-34
model comparison	601
Monte Carlo integration	531-32
Mosteller, Frederick
Bertrand paradox	386
moving average	521-22	522n	523	671n
multinomial distribution	71	284	351-52	578	640
Neptune, discovery of	133-39
Neumann, John von
game theory	407
thinking machine	7-8	22
Newton, Sir Isaac
discovery of Neptune	134-35	137-39
Jupiter/Saturn great inequality	234
laws	xxvi	146-47	271	293-94	310	329-30	504n
Neyman, Jerzy
biography: Constance Reid	496
confidence intervals	674
disagreement with Fisher	495n
disagreement with Jeffreys	496-97
induction	499
probability and frequency	204	293	493
Neyman-Pearson theory	404-05	426	432	436-38	492	510-11
non-Aristotelian logic/propositions	16	146n	560	601
nonconglomerability	xxi	453-59	464	479	485-86	664
Northrop, Eugene P.
Bertrand paradox	386
notation, probability	17-18	43	55	178	554	661-62
nuisance parameter	xxiii	xxviii	115	118	167	195	209	219-20	249-50	261	316	344	456
	470-71	475	479	482	484	497	502	527-29	535	537-38	542-44	547	550-51
	606	621	673
Nyquist, Harry
communication	627	629
frequencies	521	523
thermal fluctuation law	205n	208-09	232	363	521n	609
objective/objectivity	44-45	61n	86	196	334	358	373	393	411	418-20	424	480	484n
	493	498	500	515n	550	639	658
Ockham, William of
factor, razor	601	601n	603-05	606n	607	610-13
odds	57	90	90n	92-93	97	106	309	366	557
log	91	97	116	129	166	602n
posterior	90	438	461-63
ratio	122	138	144	552	602-04
ontological vs epistemological	22
optimal estimator	xxiii	172	212	412-13	416-17	501	540-42
optional stopping	96	166-67
orthodox statistics	490	509
Osler, Sir William
medical diagnosis	552
outliers	615-17	620-26
P-value	304	523
paradox	44	451
barber	673
Borel-Kolmogorov	110-11	467	487	654
great circle	470
Hausdorff sphere	672-74
Hempel	143-44	486	488
marginalization	55	144	166	219	244	458	470	479	484	486-88	565n	662
reduction principle	472	477-79	484-85
nonconglomerability	xxi	453-59	464	479	485-86	664
pooling data	219	260-61
Simpson, see pooling data
St Petersburg	398-99	400	404
tumbling tetrahedra	456-64	488
parameter
estimation	118	149-97	215	266	305	410	491-92	523n	533	576-77	603
nuisance	xxiii	xxviii	115	118	167	195	209	219-20	249-50	261	316	344	456
	470-71	475	479	482	484	497	502	527-29	535	537-38	542-44	547	550-51
	606	621	673
of location	202	215	220	253	378	491	530	533	625
of scale	202	205	378	423	474	491	498	530
partition function	281-83	289-91	354	356	362	364	376	443	446	602n	631	633	639
	641-42	645
Pasteur, Louis
causality	311	503	506	613
Pearson, Egon
confidence limits	580
decision rule	404
Pearson, Karl
chi-squared test	298-99	303n
criticism by Fisher	495	495n
normal distribution	240
Penfield, Wilder
understanding Ap distribution	559
Penrose,Oliver
causality and probability	60-61
periodogram	523	524n
Pitman-Koopman theorem	247n	519
Poincaré, Henri
Bertrand paradox	386-87
group theory	378
Hausdorff paradox	672-73
logistic	116	561
measurement	257-58	338
nondifferentiable functions	670-71
Weierstrasz	665
Poisson distribution	170-71	185	189	284	294-95	304	382	516	518
Pólya, George
central limit theorem	242	242n
discovery of Neptune	134	137-39
influence on Jaynes	xix-xxi
plausible reasoning	6	268	311	493
pooling data paradox	219	260-61
Popper, Karl
induction	276-77	310-11	327	499
propensity theory	61	61n
Pratt, John W.
hypothesis testing criticism	117	606n
predictive distribution	154	498
predictive probability	155	165	463
principle of indifference	40	51	94	262	274	331-32	338	343	353	386-87	394-95	418	564-65
	571	573
prior
binomial	160-62	249
concave	158-60	165
data dependent	266
Dirichlet	125
Haldane	166	575
ignorance	374
improper	160	165-66	415	471-81	485	487-88
Jeffreys	181-83	186	377	380-81	395	423	476	478	481-82	498	530
noninformative	40	550
truncated uniform	157
uniform	112	115	152-53	156-60	162	165	181-83	288	316	331	344-45	365-67	373
	377	383	385-86	395	419	423	454	457	479	501	517	528	568
	593	596
uninformative	152	159	182	470	473n	476	478-79	481-85	502	530	533	674
probability
and bridge hands	321-23
as frequency vs information	198	270	292-93	336	388	411	635
frequentist	xxii	xxiii	75	270	280	284	289	314-15	334	336	339	404	411
	508	576	579	583	635
notation	17-18	43	55	178	554	661-62
propensity	60-61	61n	76	327
psi test	300-05	523n
quadratic loss function	376	385	411	413	512	539	600	625
quadratic risk	247-48
quantum
theory	22-23	61n	92	232n	312n	327-30	371
statistics	292	445	447
Quetelet, Adolphe
Gaussian distributions social sciences	235-36	238-40
Radon-Nikodym
derivative	676
theorem	628
Raiffa, Howard
decision theory	407
random
experiment	xxiii	220	270-71	293	300	314-17	321-25	334-37	353	366	370	374	394
	409	457	495	561	568	572	576	585	653
variable	xx	xxii	314	317-18	372	409	493	500	525	538	551-52	606
walk	106	459
randomization	73-74	252	266	271	467	495n	497n	510	531-32
randomness	xx	74	117	250	271n	314	319	322	423	491	500	552
Rao, M. M.
axiomatic conditional probability	654n
rectangular distribution	190-91	225	243	248
redescending psi function	174n	621
reduction principle	472	477-79	484-85
robot	8-9	12	17-20	22	25	27	29	37	39-42	44	46	51-54	56-57
	59-60	63-64	66	72-73	75	86-87	90-94	94n	95-96	99	102-05	112-15	119
	121-22	150-51	154	166	171-72	176	182	191	208	218-20	267	272-78	283-85
	288-90	336-37	339	343-47	350	355	364	366	369	397-98	406-09	437-39	553-60
	574	584	600	655-56
poorly informed	273-74	276-78	283-85	289-90	337	339
robust/robustness	174	174n	617-18	618n	619	621-22	625
Royall, Richard M.
folly of randomization	532
Ruelle, David
rules of probability	118
rule of succession	155	158	165	209	279	292	321	339	383	385-86	563-68	571	574-81
	588
Russell, Bertrand
barber paradox	673
theory of types and paradoxes	560	673
sample re-use fallacy	264-66
sampling distribution	xxivn	xxviii	84-85	88-89	94	164
Savage, Leonard J.
communicating Bayesian probability	508	674
comparative probability	657
criticism of Laplace and Jeffries	493
decision theory	400	407	420-21
Hausdorff sphere paradox	672
justifying Bayes	552
personalist probability	335n
prior probability	262	264
Schuster, Sir Arthur
periodicity	524n
Schwartz, Laurent
delta-function	668
Schwarz inequality	518	520	543	670
seasonal adjustment/detrending	xxvii	535-49
sequential testing	96-99	100-06	131	272	397
Shannon, Claude E.
communication	627-28	633-36	640-41	647
entropy and information	353	429	519
entropy theorem	346	348	350	375
work of Gibbs	291	371
Shewhart, Walter A.
quality control	114	426
Shore, John E.
maximum entropy	350-51
significance test	xxiii	71	84-85	118	136-37	293	303	405	423	426	492	495n	504n
	505	510	521	523n	524-25	581	601
Simon, Herbert A.
causality	5
economics and decision theory	404	438	510
Simpson paradox, see pooling data paradox
Sims, Christopher A.
unit root econometrics	228n
Sivia, D. S.
Bayesian data analysis book	xxiv
Bayesian spectral analysis	239-40
Smart, W. M.
discovery of Neptune	134
Soal, Samuel G.
telepathy	120-25	128
St Petersburg game	398-99	400	404
statistical mechanics	xxiv	60	80	141	199	201	206n	232	241	285n	290-91	328-29	333
	354	364-65	370-71	428	441	444	450	529	585	602n	609	627	631-32
	638	653	664	670
quantum	292	445	447
Stigler, Stephen M.
Bayes theorem	499
Fechner	93
Galton	227n
Gaussian distribution	241
John Craig	116
Stirling approximation	121	286	352	629	631
stochastic vs deterministic	505-06
Stone, Mervyn
groups of transformations	378
tumbling tetrahedra	456
Stove, David C.
induction	310
strong inconsistency problem	456	463
subjective Bayesian	372-73
subjective/subjectivity	44	61n	372-73	393	420-21	493	515	550
succession, rule of	155	158	165	209	279	292	321	339	383	385-86	563-68	571	574-81
	588
sufficiency	212n	243	245-47	247n	248-51	428-30	519
sufficient statistic	xxiii	213	217n	245-47	247n	248-49	316	429-31	459	461	464	480-81	484
	497	501-02	510	516	520	532	537	550	673
sure thing hypothesis	195	195n	296
syllogism	4-6	8	12	23	35-36	132	134
Takács, L.
radioactive counting	177
taxicab problem	190
Taylor series	516	572
Tchebycheff inequality	186	186n
telepathy	120-21	124
Temple, George
generalized functions	668
thermodynamics	42	146	351	364-65	445	527n	602
second law	209	232	232n
time series	521-22	522n	534-36	671n
Bayesian method	536-49
Titchmarsh, E. C.
Fourier integrals	667
nondifferentiable functions	669n	671
Titterington, D. M.
mixtures of Gaussian distributions	238n
transformation equations	39-40
transformation group	182	292	378	380-81	383	385-89	392-93	395-96	420	423	555	575-77
Tribus, Myron T.
deriving product rule	26
widget problem	440	442-43	448
truth table	12	14-15
Tukey, John W.
periodicity	505	524n
robustness	617	618n	619	621
tumbling tetrahedra paradox	456-64	488
unbiased estimator	377	412	492	495n	508	510-19	520n	534	541	670
unbiased minimum variance estimator	412	520
uniform distribution	179	204	291	322	331	338	386	466	470
uniform prior	112	115	152-53	156-60	162	165	181-83	288	316	331	344-45	365-67	373
	377	383	385-86	395	419	423	454	457	479	501	517	528	568
	593	596
uninformative prior	152	159	182	470	473n	476	478-79	481-85	502	530	533	674
unit root	228	228n	233
Uspensky, James V.
Bertrand paradox	386
utility	322	399	400-04	420	424
and entropy	402
marginal	399
Valavanis, Stefan
unbiased estimators in econometrics	514
Venn, John
diagram	47-49	262	651	654
criticism of Laplace	279n	315-16	495	568	571
Vignaux, G. A.
Bayesian jurisprudence	146
visual perception	132-33	561
Wald, Abraham
decision theory	404-09	412	415	419	421-22	424-25	438	514
Wason, Peter C.
psychology of reasoning	132
Weber, Bruce H.
thermodynamics and evolution	232n
Weber-Fechner law	92-93	95
Weierstrasz, Karl
Kronecker vs. Weierstrasz	665	665n	666
nondifferentiable functions	669
Weldon, Walter F. R.
coin tossing	335n
fluctuations driving change	230	232
Weyl, Hermann
group theory	378	389
infinite sets	672-73	673n
Widder, David V.
Hausdorff moment problem	587
widget problem	440-50
Wiener, Norbert
information and probability	634
Wiener-Khinchin theorem	207
Wigner, Eugene P.
group theory	332	378	389
Wing, G. Milton
neutron multiplication	579-80
Wolf, Rudolf
dice data	335n
Woodward,  Philip M.
information theory	440
Woodword, see Woodward
Wrinch, Dorothy M.
rule of succession	155
Zabell, Sandy L.
Bayes theorem	499
rule of succession	155
Zellner, Arnold
Bayes and maximum entropy	208n
decision theory	423
econometrics	552
nomenclature	108
nuisance parameters	497