# Characterization of Probability Distributions Using the Residual Entropy Function

 dc.contributor.author Rajesh,G dc.contributor.author Muraleedharan Nair,K R dc.date.accessioned 2008-12-05T04:34:43Z dc.date.available 2008-12-05T04:34:43Z dc.date.issued 2001-02 dc.identifier.citation Department of Statistics,Faculty of Science en_US dc.identifier.uri http://dyuthi.cusat.ac.in/purl/1002 dc.description.abstract The present study on the characterization of probability distributions using the residual entropy function. The concept of entropy is extensively used in literature as a quantitative measure of uncertainty associated with a random phenomenon. The commonly used life time models in reliability Theory are exponential distribution, Pareto distribution, Beta distribution, Weibull distribution and gamma distribution. Several characterization theorems are obtained for the above models using reliability concepts such as failure rate, mean residual life function, vitality function, variance residual life function etc. Most of the works on characterization of distributions in the reliability context centers around the failure rate or the residual life function. The important aspect of interest in the study of entropy is that of locating distributions for which the shannon’s entropy is maximum subject to certain restrictions on the underlying random variable. The geometric vitality function and examine its properties. It is established that the geometric vitality function determines the distribution uniquely. The problem of averaging the residual entropy function is examined, and also the truncated form version of entropies of higher order are defined. In this study it is established that the residual entropy function determines the distribution uniquely and that the constancy of the same is characteristics to the geometric distribution en_US dc.language.iso en en_US dc.publisher Cochin University of Science and Technology en_US dc.subject Probability distributions en_US dc.subject Residual entropy en_US dc.subject Geometric vitality en_US dc.title Characterization of Probability Distributions Using the Residual Entropy Function en_US dc.type Thesis en_US
﻿

## Files in this item

Files Size Format View Description
Dyuthi-T0052.pdf 1.355Mb PDF View/Open PDF