Statistical estimation for truncated exponential families / Masafumi Akahira.

Unlimited

Authorized users

Can lend chapters, not whole ebooks

Statistical estimation for truncated exponential families / Masafumi Akahira.

9789811052965 (electronic book)
9811052964 (electronic book)
9789811052958
9811052956

Singapore : Springer, 2017.

English

1 online resource (xi, 122 pages) : illustrations.

QA276.8

519.5/44

This book presents new findings on nonregular statistical estimation. Unlike other books on this topic, its major emphasis is on helping readers understand the meaning and implications of both regularity and irregularity through a certain family of distributions. In particular, it focuses on a truncated exponential family of distributions with a natural parameter and truncation parameter as a typical nonregular family. This focus includes the (truncated) Pareto distribution, which is widely used in various fields such as finance, physics, hydrology, geology, astronomy, and other disciplines. The family is essential in that it links both regular and nonregular distributions, as it becomes a regular exponential family if the truncation parameter is known. The emphasis is on presenting new results on the maximum likelihood estimation of a natural parameter or truncation parameter if one of them is a nuisance parameter. In order to obtain more information on the truncation, the Bayesian approach is also considered. Further, the application to some useful truncated distributions is discussed. The illustrated clarification of the nonregular structure provides researchers and practitioners with a solid basis for further research and applications.-- Provided by publisher.

Includes bibliographical references and index.

Access limited to authorized users.

Online resource; title from PDF title page (SpringerLink, viewed August 3, 2017).

SpringerBriefs in statistics. JSS research series in statistics.

Print version: 9789811052958

Online Resources > Ebooks
All Resources