Loss of information of a statistic for a family of non-regular distributions, II: more general case

Autor:	Nao Ohyauchi, Hyo Gyeong Kim, Masafumi Akahira
Rok vydání:	2011
Předmět:	Statistics and Probability PRESS statistic Bounded function Ancillary statistic Statistics Statistical parameter Applied mathematics Extreme value theory Completeness (statistics) Group family Statistic Mathematics
Zdroj:	Annals of the Institute of Statistical Mathematics. 64:1121-1138
ISSN:	1572-9052 0020-3157
Popis:	In the paper of Akahira (Ann Inst Statist Math 48:349–364, 1996), it was shown that the second order asymptotic loss of information in reducing to a statistic consisting of extreme values and an asymptotically ancillary statistic vanished for a family of non-regular distributions whose densities have the same values and the sum of differential coefficients at the endpoints of the bounded support is equal to zero. In this paper, the result can be shown to be extended to the case of a family of non-regular distributions without the above restriction.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::813198349536e9083526e0d6a489a261 https://doi.org/10.1007/s10463-011-0347-4 Zobrazit plný text záznamu Full text from SpringerLink