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АСИМПТОТИЧЕСКАЯ МИНИМАКСНОСТЬ ЛИНЕЙНО-ЯДЕРНЫХ ОЦЕНОК ФУНКЦИИ РАСПРЕДЕЛЕНИЯ

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ARTICLE ANNOTATION

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In paper the problems of minimax and Bayesian estimation of distribution function is considered. The asymptotical minimaxity of linear kernel estimators of distribution function is proved.

AUTHORS

A.Abdushukurov

A.Muminov

Tags

# Минимаксные и байесовские оце# функции потерь и риска# процесс Дирихле# Minimax and Bayesian estimatio# loss and risk functions# Dirichle process# Минимакс ва Байес баҳолари# талофат ва риск функциялари# Дирихле процесси

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References

Ferguson T.S. A Bayesian analysis of some nonparametric problems. // Ann. Statist. 1973. V.1. p. 209-230.

Phadia E.G. Minimax estimation of a cumulative distribution function. // Ann. Statist. 1973. V.1. p. 1149-1157.

Prakasa Rao B.L.S. Nonparametric Functional Estimation. 1983. ACADEMIC PRESS. 525 pages.