On the inequality of Cramér-Rao type in sequential estimation theory
R. Magiera (1974)
Applicationes Mathematicae
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R. Magiera (1974)
Applicationes Mathematicae
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Stanisław Trybuła
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1. IntroductionThough the theory of minimax estimation was originated about thirty five years ago (see [7], [8], [9], [23]), there are still many unsolved problems in this area. Several papers have been devoted to statistical games in which the set of a priori distributions of the parameter was suitably restricted ([2], [10], [13]). Recently, special attention was paid to the problem of admissibility ([24], [3], [11], [12]).This paper is devoted to the problem of determining minimax...
R. Zieliński (1982)
Applicationes Mathematicae
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M. Krzyśko (1984)
Applicationes Mathematicae
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Rekab, Kamel (1995)
International Journal of Mathematics and Mathematical Sciences
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Govindarajulu, Z. (1995)
International Journal of Mathematics and Mathematical Sciences
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Govindarajulu, Z. (2000)
International Journal of Mathematics and Mathematical Sciences
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Ryszard Magiera (2001)
Applicationes Mathematicae
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The problem of estimating unknown parameters of Markov-additive processes from data observed up to a random stopping time is considered. To the problem of estimation, the intermediate approach between the Bayes and the minimax principle is applied in which it is assumed that a vague prior information on the distribution of the unknown parameters is available. The loss in estimating is assumed to consist of the error of estimation (defined by a weighted squared loss function) as well...
Agnieszka Stępień-Baran (2009)
Applicationes Mathematicae
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The problem of sequentially estimating powers of a scale parameter in a scale family and in a location-scale family is considered in the case when the observations become available at random times. Certain classes of sequential estimation procedures are derived under a scale invariant loss function and with the observation cost determined by a convex function of the stopping time and the number of observations up to that time.
John A. Bather (1985)
Banach Center Publications
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R. Magiera ([unknown])
Metrika
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Rekab, Kamel (1991)
Journal of Applied Mathematics and Stochastic Analysis
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R. Magiera (1977)
Applicationes Mathematicae
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W. Jahn (1985)
Banach Center Publications
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Ryszard Magiera (1994)
Applicationes Mathematicae
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The Bayesian sequential estimation problem for an exponential family of processes is considered. Using a weighted square error loss and observing cost involving a linear function of the process, the Bayes sequential procedures are derived.