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Shiryaev A.N., Spokoiny V.G. — Statistical experiments and decisions: asymptotic theory
Shiryaev A.N., Spokoiny V.G. — Statistical experiments and decisions: asymptotic theory

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Название: Statistical experiments and decisions: asymptotic theory

Авторы: Shiryaev A.N., Spokoiny V.G.

Аннотация:

The book is a highlight in modern mathematical statistics which offers a lot of new concepts.


Язык: en

Рубрика: Математика/Вероятность/Статистика и приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 283

Добавлена в каталог: 10.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Delta$-distance      29
$\lambda$-coincidence      77
($\lambda$, $\Gamma$)-model      136
Affinity      53
Autoregression explosive      239
Autoregression stable      239
Autoregression unstable      239
Connectedness equations      191
Convergence of experiments, $\Delta$-      61
Convergence of experiments, $\lambda$-      76
Convergence of experiments, $\lambda$- $K$-uniform      88
Convergence of experiments, $\lambda$- extended      122
Convergence of experiments, $\lambda$- uniform extended      123
Convergence of experiments, $\lambda$- uniform local      194
Convergence of experiments, strong      61 62
Convergence of experiments, weak      68 68
Decision space      16
Decision, $K$-admissible      64
Decision, $K$-inadmissible      64
Decision, $\beta$-      21
Decision, generalized      21
Decision, Markov      16
Decision, non-randomized      16
Decision, randomized      16
Deficiency      28
Entire separation      58
Estimator, asymptotically regular      110
Estimator, global      181
Estimator, preliminary      188
Estimator, regular      110
Estimator, sequential maximum likelihood      254
Family of experiments regular      195
Family of experiments regular strictly regular      196
Family, $\mathcal{K}$-regular      124
Family, regular      123
Hellinger integral      53
Hellinger transformation of experiments      52
Hellinger transformation of measure      50
Information Fisher      49
Information Shennon      48
Kernel stochastic      10
Kernel, Markov      10
Local asymptotic normality      74
Localizing sequence      72 179
Loss function      16
Mellin transformation of measure      50
Operative characteristic      17
Power function      67
Randomization by Markov kernel      11
Randomization generalized      23
Risk $\pi$-Bayes      17
Risk minimax      17
Standard measure      9
Standard representation      9
Statistical decision theory      1
Statistical experiment      1
Statistical experiment, $L$-space      13 13
Statistical experiment, $\matcal{K}$-regular      88
Statistical experiment, accompanying      85
Statistical experiment, binary      4
Statistical experiment, Blackwell-sufficient      48
Statistical experiment, canonical      10
Statistical experiment, corresponding to diffusion models      7
Statistical experiment, differentiable      118
Statistical experiment, dominated      8
Statistical experiment, exhaustive      48
Statistical experiment, extension      18
Statistical experiment, extension Markov      18
Statistical experiment, filtered      6
Statistical experiment, filtered in continuous time      7
Statistical experiment, filtered in discrete time      6
Statistical experiment, Gaussian shift      4
Statistical experiment, Gaussian shift on the real line      4
Statistical experiment, generalized      23
Statistical experiment, Hellinger transformation      52
Statistical experiment, homogeneous      190
Statistical experiment, localized      179
Statistical experiment, regular      83
Statistical experiment, shift      42 137
Statistical experiment, totally informative      4
Statistical experiment, totally non-informative      4
Statistical experiment, transitive      211
Statistical experiment, transitive weakly      212
Statistical experiments, contiguous $\delta$-      125
Statistical experiments, contiguous $\lambda$-      129
Statistical experiments, contiguous uniformly      132
Statistical experiments, weakly      126
Statistical experiments, weakly equivalent      122 129
Statistical experiments, weakly mutually      126
Stochastic operator      12 24
test      66 188
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