Weighted Log-Pearson Type Iii Distribution: Properties, Estimation and Application
Umme Habibah Rahman *
Department of Statistics, Assam University, Silchar, Assam, India.
Tanusree Deb Roy
Department of Statistics, Assam University, Silchar, Assam, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we have proposed a new version of three parameters log-Pearson type III distribution known as weighted Log-Pearson type III distribution. The different structural properties of the newly model have been studied. The maximum likelihood estimators of the parameters and the Fishers information matrix have been discussed. Finally, a real-life data set has been analyzed.
Keywords: Weighted distribution, log-Pearson type III distribution, reliability analysis, maximum likelihood estimator, order statistics, entropies