Non-Regular Statistical Estimation

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Author :
Release : 1995-08-18
Genre : Mathematics
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Non-Regular Statistical Estimation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Regular Statistical Estimation write by Masafumi Akahira. This book was released on 1995-08-18. Non-Regular Statistical Estimation available in PDF, EPUB and Kindle. 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.

Non-Regular Statistical Estimation

Download Non-Regular Statistical Estimation PDF Online Free

Author :
Release : 1995-08-18
Genre :
Kind :
Book Rating : 553/5 ( reviews)

Non-Regular Statistical Estimation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Regular Statistical Estimation write by Masafumi Akahira. This book was released on 1995-08-18. Non-Regular Statistical Estimation available in PDF, EPUB and Kindle.

Non-Regular Statistical Estimation

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Author :
Release : 2012-12-06
Genre : Mathematics
Kind :
Book Rating : 54X/5 ( reviews)

Non-Regular Statistical Estimation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Regular Statistical Estimation write by Masafumi Akahira. This book was released on 2012-12-06. Non-Regular Statistical Estimation available in PDF, EPUB and Kindle. 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.

Statistical Estimation for Truncated Exponential Families

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Release : 2017-07-26
Genre : Mathematics
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Book Rating : 964/5 ( reviews)

Statistical Estimation for Truncated Exponential Families - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Estimation for Truncated Exponential Families write by Masafumi Akahira. This book was released on 2017-07-26. Statistical Estimation for Truncated Exponential Families available in PDF, EPUB and Kindle. 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.

Contributions to Statistical Estimation in Non-regular Models

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Release : 1989
Genre : Estimation theory
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Contributions to Statistical Estimation in Non-regular Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Contributions to Statistical Estimation in Non-regular Models write by Alireza Arasteh. This book was released on 1989. Contributions to Statistical Estimation in Non-regular Models available in PDF, EPUB and Kindle.