caa a22 4500 477063128 CHVBK 20180405111406.0 cr unu---uuuuu 170330e19960601xx s 000 0 eng 10.1007/BF00054795 doi (NATIONALLICENCE)springer-10.1007/BF00054795 Akahira Masafumi Institute of Mathematics, University of Tsukuba, 305, Ibaraki, Japan aut Loss of information of a statistic for a family of non-regular distributions [Elektronische Daten] [Masafumi Akahira] In the non-regular case, the asymptotic loss of amount of information (extended to as Rényi measure) associated with a statistic is discussed. It is shown that the second order asymptotic loss of information in reducing to a statistic consisting of extreme values and an asymptotically ancillary statistic vanishes. This result corresponds to the fact that the statistic is second order asymptotically sufficient in the sense of Akahira (1991, Metron, 49, 133-143). Some examples on truncated distributions are also given. The Institute of Statistical Mathematics, 1996 Amount of Rényi type information nationallicence loss of information nationallicence non-regular case nationallicence extreme statistics nationallicence asymtotically ancillary statistic nationallicence truncated distributions nationallicence Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/2(1996-06-01), 349-364 0020-3157 48:2<349 1996 48 10463 https://doi.org/10.1007/BF00054795 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00054795 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Akahira Masafumi Institute of Mathematics, University of Tsukuba, 305, Ibaraki, Japan aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/2(1996-06-01), 349-364 0020-3157 48:2<349 1996 48 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 477063128 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer