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Maritz J.S., Lwin T. — Empirical Bayes Methods With Applications (Chapman & Hall/CRC Monographs On Statistics & Applied Probability)
Maritz J.S., Lwin T. — Empirical Bayes Methods With Applications (Chapman & Hall/CRC Monographs On Statistics & Applied Probability)

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Название: Empirical Bayes Methods With Applications (Chapman & Hall/CRC Monographs On Statistics & Applied Probability)

Авторы: Maritz J.S., Lwin T.

Аннотация:

Empirical Bayes methods are best suited to the analysis of sequences of data sets obtained in separate studies of the same phenomenon. Data sets collected in so-called meta-analysis are essentially of this sort.
Empirical Bayes methods use some of the apparatus of the pure Bayes approach, but an actual prior distribution is assumed to generate the data sequence. It can be estimated thus producing empirical Bayes estimates or decision rules.
In the second edition of Empirical Bayes Methods details are provided of the derivation and the performance of empirical Bayes rules for a variety of special models. Attention is given to the problem of assessing the goodness of an empirical Bayes estimator for a given set of prior data.
A chapter is devoted to a discussion of alternatives to the empirical Bayes approach and there is also a chapter giving details of several actual applications of empirical Bayes methods.


Язык: en

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd

Год издания: 1989

Количество страниц: 284

Добавлена в каталог: 01.04.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acceptance sampling      254
Aitchison      195 265
Alternatives to EB      205
Applications of EB      242
Approximate Bayes      18
Approximation of G      81 82
Approximations to prior      19
Asymptotic optimality      16 64 67
Atwood      180
Bartlett      56
batting averages      248
Bayes, cut-off rules      157
Bayes, decisions      8
Bayes, empirical Bayes      209
Bayes, point estimate      4
Bayes, risk      4
Behboodian      34 55
Bennett      138
Berger      71 132 270
Berkey      243 247
Beta prior      88 102
Binomial distribution      32 88 101 252
Bohrer      255
Bootstrap      131 164 203
Bowman      62
box      176
Bryk      149 243 250 251
Cacoullos      138
Calibration      263
Campling      254
Cancer mortality      258
Chesson      27 37 41
Choi      56
Clevenson      256
components      1
Composite hypotheses      9 164
Compound, decision      21 225
Compound, estimation      217
Compound, risk      217
Compound, rules      218
Concomitant variables      21 149
confidence intervals      177
Confidence regions      187
Conjugate prior      12 20 84
Consistent estimation      65
Contingency tables      141 266
Copas      225 241
Cox      13 99 152 181 201
Credibility intervals      176
Cressie      75 201 252 255
Current observation      13
Day      54
De finetti      206
de Groot      12
Deely      25 48 56 163 201 209 210 241
Dempster      52 60
Density estimation      78
Der Simonian      58
Diffuse priors      65
Dirichlet      144
Dirichlet prior      144
Discrete distributions      251
Distance measure      45
Distribution, Beta      88 102
Distribution, binomial      32 88 101 252
Distribution, bivariate normal      42
Distribution, exponential family      7 72 73
Distribution, gamma      84
Distribution, geometric      6 30
Distribution, multinomial      140
Distribution, multivariate normal      131
Distribution, negative binomial      7
Distribution, normal      7 33 90 109 115 122 182 211 243
Distribution, Poisson      14 35 67 84 98 113
Dunsmore      265
EB intervals      200
EB regions      179 200
EB tolerance regions      196
Effectiveness      112 155
Efron      248
EM algorithm      52 54 61 246 251
Empirical Bayes, applications      242
Empirical Bayes, decisions      8 9
Empirical Bayes, effectiveness in practice      112 155
Empirical Bayes, estimate      14
Empirical Bayes, methods      13
Empirical Bayes, performance      112 138 169
Empirical Bayes, rule      14
Empirical Bayes, smooth estimates      15 17 76
Empirical regression estimate      213 214
Estimation of G      14 49
Estimation of prior      27
Evans      122 123
Expected cover      179 188 193
Expected loss      4 64
Exponential family      7 72 73
Fairfield-Smith      213
Families of distributions, additively closed      39
Families of distributions, exponential      7 72 73
Families of distributions, location-scale      118 199
Families of distributions, parametric      29
Fay      149 243 269
Ferguson      4
Finite mixtures      31 36
Finney      25 211
Full Bayesian      21 22 205
Gamma prior      84
Geometric distribution      6 30
good      268
Goodness of EB      16
Griffin      18
Growth curves      246
Guttman      191
Hald      254
Hannan      234
Hartigan      18
Henderson      21 25
Herriot      149 243 269
Hinkley      13 99 152
Hoadley      260 261 262 263
Hoerl      209
Hudson      223 225
Hui      132 270
Hyper prior      22
Hyperparameters      240
Hypotheses, composite      9 164
Hypotheses, simple      8 152 161
Hypotheses, testing of      152
Hypothesis testing      152
Identifiability      28
Interval estimation      173
James      23
Johns      105 109 111
Joshi      176 186
Kempthorne      21 25
Kennard      209
Kernel      27
Kjaer      254
Kruse      48 56 163
Krutchkoff      18 58 67 75 110 111 112 135 138 178 221
Kullback      46
Laird      14 52 60 201 267 268
Law school data      245
Least squares      45 265
Lemon      138
Likelihood      25 211
Lin      73
Lindley      21 24 25 201 204 206 209 210 241 248
Lindsay      55 57
Linear Bayes      18 120 126 134 146
Linear EB      83 86 89 96 101 103 105 112 116 126 145 146
Linear model      213
Location and scale      199
Location-scale      118
Longitudinal studies      270
Lord      59
loss      3
Louis      201 204
Lukacs      39
Lwin      19 75 92 201 222 264 265
Macdonald      56
Makov      31
Marginal distribution      14
Marienfeld      149 243 258
Maritz      36 48 54 56 75 81 85 92 131 201 222 236 264 265
Martz      135 138
Maximum likelihood      51
Medgyessy      27
Mixed distribution      5
Mixture      27
Mixture likelihood      57
Moments      50
Monotonic      15
Monotonized estimate      77
Morris      201 202 203 242 248
Multinomial distribution      140
Multiparameter mixtures      41
Multivariate data      118
Multivariate normal      131
Nelder      25
Nichols      75
Non-informative prior      65
Nonparametric EB      105
Normal distribution      7 33 90 109 115 122 182 211 243
Nuisance parameters      159
Observation(s), current      13 106
Observation(s), multiple current      92
Observation(s), one current      84
Observation(s), past      13 106
Observation(s), unequal numbers      59 94 98
Oilwell discoveries      256
Optimal intervals      174
Optimal linear estimator      219
Parametric G      29 60 166
Parzen      78
Past observations      13 106
Percentile cover      181 192
Performance of CD rules      237
Performance of compound estimators      222
Performance of EB rules      169
Performance of EBEs      112 138
Performance of linear compound estimators      223
Point estimation      64
poisson      14 35 67 84 98 113
Posterior      5
Posterior mean      11
Previous data      3
Pseudo — Bayes      93
Pupil IQ      250
Quality control      260
Quantile estimation      121 128
Raiffa      29 122
Rao      213
Rate of convergence      67
Raudenbush      149 243 250 251
Region estimators      186
Ridge regression      208
Risk      4
Risk convergence      232
Robbins      2 7 10 17 21 47 163 225 227 228 229 232 234
Robustness      68
Rolph      59
Rubin      52 60 71 243 251
Rutherford      58 75 178
Samuel      10 163 232 233 234 236
SCALE      34
Schlaifer      29 122
Searle      21 25
Seheult      255
Sequential CD      234
Serfling      68
Shenton      62
Shoop      149 243 258
Silverman      78
Simar      58
Simple EB      71 137 145
Simple hypotheses      8 153
Simultaneous decisions      21
smith      25 31 206 208 209 241 248
Smooth      15 17 76
Southward      220
Spragins      32 34 41
Stein      21 23 24
Step-function      48 82
Stratified sampling      269
Sufficient statistics      12 96 157
Tallis      27 29 32 37 41
Teicher      27 29 31 32 40 41 47
Tiao      176
Titterington      31
Tolerance regions      191
Translation parameter      34
True scores      252
Tsokos      75
Tsutakawa      149 243 258
Unequal $m_{i}$      97
Unequal components      59
van Houwelingen      77 78 86 255
van Ryzin      220 234
Vector r.v.      11
Vertex direction      57
von Krosigk      21 25
Von Mises      1 251
Wald      180 181
Wetherill      254
Wilks      180 199
Winkler      174 175
Yakowitz      32 34 41
Zidek      256
Zimmer      201
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