Minimax Prediction for the Multinomial and Multivariate Hypergeometric Distributions
Applicationes Mathematicae (1998)
- Volume: 25, Issue: 3, page 271-283
- ISSN: 1233-7234
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Abstract
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topJokiel-Rokita, Alicja. "Minimax Prediction for the Multinomial and Multivariate Hypergeometric Distributions." Applicationes Mathematicae 25.3 (1998): 271-283. <http://eudml.org/doc/219202>.
@article{Jokiel1998,
abstract = {A problem of minimax prediction for the multinomial and multivariate hypergeometric distribution is considered. A class of minimax predictors is determined for estimating linear combinations of the unknown parameter and the random variable having the multinomial or the multivariate hypergeometric distribution.},
author = {Jokiel-Rokita, Alicja},
journal = {Applicationes Mathematicae},
keywords = {multinomial distribution; Bayes estimation; multivariate hypergeometric distribution; minimax estimation; Bayes risk; minimax predictor},
language = {eng},
number = {3},
pages = {271-283},
title = {Minimax Prediction for the Multinomial and Multivariate Hypergeometric Distributions},
url = {http://eudml.org/doc/219202},
volume = {25},
year = {1998},
}
TY - JOUR
AU - Jokiel-Rokita, Alicja
TI - Minimax Prediction for the Multinomial and Multivariate Hypergeometric Distributions
JO - Applicationes Mathematicae
PY - 1998
VL - 25
IS - 3
SP - 271
EP - 283
AB - A problem of minimax prediction for the multinomial and multivariate hypergeometric distribution is considered. A class of minimax predictors is determined for estimating linear combinations of the unknown parameter and the random variable having the multinomial or the multivariate hypergeometric distribution.
LA - eng
KW - multinomial distribution; Bayes estimation; multivariate hypergeometric distribution; minimax estimation; Bayes risk; minimax predictor
UR - http://eudml.org/doc/219202
ER -
References
top- J. P. Aubin (1979), Mathematical Methods of Game and Economic Theory}, North-Holland. Zbl0452.90093
- T. Ferguson (1967), Mathematical Statistics: A Decision Theoretic Approach, Academic Press, New York and London. Zbl0153.47602
- G. M. Fichtenholz (1985), Differential and Integral Calculus, PWN, Warszawa (in Polish). Zbl0900.26002
- V. G. Karmanov (1986), Mathematical Programming, Nauka, Moscow. Zbl0967.90089
- S. Trybuła (1958), Some problems of simultaneous minimax estimation, Ann. Math. Statist. 29, 245-253. Zbl0087.14201
- M. Wilczyński (1985), Minimax estimation for the multinomial and multivariate distributions, Sankhyā 47, 128-132. Zbl0575.62012
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