Background
Akahira, Masafumi was born on December 10, 1945 in Sanjo-shi, Niigata, Japan. Son of Shoichi and Fumi (Abe) Akahira.
(In order to obtain many of the classical results in the t...)
In order to obtain many of the classical results in the theory of statistical estimation, it is usual to impose regularity conditions on the distributions under consideration. In small sample and large sample theories of estimation there are well established sets of regularity conditions, and it is worth while to examine what may follow if any one of these regularity conditions fail to hold. "Non-regular estimation" literally means the theory of statistical estimation when some or other of the regularity conditions fail to hold. In this monograph, the authors present a systematic study of the meaning and implications of regularity conditions, and show how the relaxation of such conditions can often lead to surprising conclusions. Their emphasis is on considering small sample results and to show how pathological examples may be considered in this broader framework.
http://www.amazon.com/gp/product/0387945784/?tag=2022091-20
(This monograph is a collection of results recently obtain...)
This monograph is a collection of results recently obtained by the authors. Most of these have been published, while others are awaitlng publication. Our investigation has two main purposes. Firstly, we discuss higher order asymptotic efficiency of estimators in regular situa tions. In these situations it is known that the maximum likelihood estimator (MLE) is asymptotically efficient in some (not always specified) sense. However, there exists here a whole class of asymptotically efficient estimators which are thus asymptotically equivalent to the MLE. It is required to make finer distinctions among the estimators, by considering higher order terms in the expansions of their asymptotic distributions. Secondly, we discuss asymptotically efficient estimators in non regular situations. These are situations where the MLE or other estimators are not asymptotically normally distributed, or where l 2 their order of convergence (or consistency) is not n / , as in the regular cases. It is necessary to redefine the concept of asympto tic efficiency, together with the concept of the maximum order of consistency. Under the new definition as asymptotically efficient estimator may not always exist. We have not attempted to tell the whole story in a systematic way. The field of asymptotic theory in statistical estimation is relatively uncultivated. So, we have tried to focus attention on such aspects of our recent results which throw light on the area.
http://www.amazon.com/gp/product/0387905766/?tag=2022091-20
(Masafumi Akahira and Kei Takeuchi have collaborated in re...)
Masafumi Akahira and Kei Takeuchi have collaborated in research on mathematical statistics for nearly thirty years and have published many articles and papers. This volume is a collection of their papers, some published in well-known and others in lesser-known journals. The papers cover various fields, but the main subject is the theory of estimation -- asymptotic, non-regular, sequential, etc. All the papers are theoretical in nature, but have implications for applied problems.
http://www.amazon.com/gp/product/9812383778/?tag=2022091-20
Akahira, Masafumi was born on December 10, 1945 in Sanjo-shi, Niigata, Japan. Son of Shoichi and Fumi (Abe) Akahira.
Bachelor of Science in Mathematics, Waseda University, Tokyo, 1969. Master of Science in Mathematics, Waseda University, Tokyo, 1971. Doctor of Science in Mathematics, Waseda University, Tokyo, 1977.
Research assistant, U. Electro-Comm., Tokyo, 1972-1976; assistant professor, U. Electro-Comm., Tokyo, 1976-1978; associate professor, U. Electro-Comm., Tokyo, 1978-1987; professor, Tsukuba U., Tsukuba-shi, Japan, since 1987. Guest professor Limburgs U. Centrum, Diepenbeek, Belgium, 1981. Visiting professor Queen's U., Kingston, Canada, 1985.
(In order to obtain many of the classical results in the t...)
(Masafumi Akahira and Kei Takeuchi have collaborated in re...)
(This monograph is a collection of results recently obtain...)
Member International Statistical Institute, Institute of Mathematics Statistics, Mathematics Society Japan (3d Analysis prize 2004).
Married Chihal Kato, August 11, 1976. 1 child, Lisa.