"Moreno-Rebollo, J. L." / Topic: distribution (probability theory) - Searchworks@Jio Institute Digital Library Search Results

Your search keyword '"Moreno-Rebollo, J. L."' showing total 4 results

Start Over "Moreno-Rebollo, J. L." Topic distribution (probability theory)

Author: Ohyauchi, N.
Subjects: MAXIMUM likelihood statistics, QUADRATIC fields, MATHEMATICAL symmetry, BAYES' estimation, EXPONENTIAL functions, DISTRIBUTION (Probability theory), COMPARATIVE studies
Abstract: In most cases, we use a symmetric loss such as the quadratic loss in a usual estimation problem. But, in the non-regular case when the regularity conditions do not necessarily hold, it seems to be more reasonable to choose an asymmetric loss than the symmetric one. In this paper, we consider the Bayes estimation under the linear exponential (LINEX) loss which is regarded as a typical example of asymmetric loss. We also compare the Bayes risks of estimators under the LINEX loss for a family of truncated distributions and a location parameter family of truncated distributions. [ABSTRACT FROM AUTHOR]
Published: 2013
Full Text: View/download PDF

Author: Akahira, M. and Ohyauchi, N.
Subjects: INFERENCE (Logic), ESTIMATION theory, DISTRIBUTION (Probability theory), STATISTICS, MATHEMATICS
Abstract: In non-regular cases when the regularity conditions does not hold, the Chapman-Robbins (1951) inequality for the variance of unbiased estimators is well known, but the lower bound by the inequality is not attainable. In this article, we extend the Kiefer-type information inequality applicable to the non-regular case to the asymptotic situation, and we apply it to the case of a family of truncated distributions, in which the lower bound by the Kiefer-type inequality derived from an appropriate prior distribution is attained by the asymptotically unbiased estimator. It also follows from the completeness of the sufficient statistic that the lower bound is asymptotically best. Some examples are also given. [ABSTRACT FROM AUTHOR]
Published: 2007
Full Text: View/download PDF

Author: Mohammad Ahsanullah and Mohammad Ahsanullah
Subjects: Distribution (Probability theory), Variables (Mathematics)
Abstract: Exponential distribution is one of the most-used distributions in the theory and practice of statistics. It has several important properties like being memoryless and having a constant hazard rate. The field of characterization is developed in different branches of statistics and applied probability. Ordered random variables are common in various applications in practice. In this book, characterizations of exponential distribution using ordered random variables are presented. Most of the known results as well as many new results are given in this book. The aim of the book is to present various characterizations of exponential distribution based on ordered random variables. The book is written on a lower technical level and requires basic knowledge of mathematics and statistics. Chapter 1 gives some basic properties of exponential distribution. Chapters 2, 3, and 4 give the characterization of exponential distribution based on order statistics, record values, and generalized order statistics.
Published: 2019

Author: N. Balakrishnan, I. G. Bairamov, O. L. Gebizlioglu, N. Balakrishnan, I. G. Bairamov, and O. L. Gebizlioglu
Subjects: Probabilities, Statistical hypothesis testing--Mathematical models, Distribution (Probability theory)
Abstract: Statistical distributions are one of the most important applied mathematical tools across a wide spectrum of disciplines, including engineering, biological sciences, and health and social sciences. Since they are used to model observed data and ultimately to develop inferential procedures, understanding the properties of statistical distributions i
Published: 2005

Books, media, physical & digital resources

Searchworks