Transmuted Zeghdoudi Distribution: Theory and Applications

Molay Kumar Ruidas¹

1. Dept. Of Statistics, Trivenidevi Bhalotia College, Kazi Nazrul University, Raniganj, India.

Correspondence should be addressed to: molayruidas@gmail.com.

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.2 , pp.95-101, Apr-2020

Online published on Apr 30, 2020

Copyright © Molay Kumar Ruidas . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The Transmuted Zeghdoudi distribution(TZD) is derived using the Quadratic Rank Transmutation Map (QRTM) approach. Some mathematical properties of the proposed distribution are derived such as moments, skewness, kurtosis, mean residual lifetime, hazard rate, order statistics and reliability analysis etc. Estimation Properties like maximum likelihood estimation procedure is derived to obtain the estimates of parameters. A data set are analyzed to illustrate its applicability and to compare that this distribution performs better than many other distributions.

Key-Words / Index Term :
Zeghdoudi Distribution, Quadratic Rank Transmutation Map, Moment Generating Function, Order Statistics, Maximum Likelihood Estimation

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