<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this article, we proposed a new probability distribution called length-biased Chris-Jerry distribution in which length-biased distribution is a specific case of weighted distribution. Also, we determined the structural properties of length-biased Chris-Jerry distribution and the unknown parameters were estimated by maximum likelihood estimator and tested by likelihood ratio test. Finally, we emphasized a real lifetime data set to reveal how the proposed distribution worked in it.</p>
</abstract>

In this article, we proposed a new probability distribution called length-biased Chris-Jerry distribution in which length-biased distribution is a specific case of weighted distribution. Also, we determined the structural properties of length-biased Chris-Jerry distribution and the unknown parameters were estimated by maximum likelihood estimator and tested by likelihood ratio test. Finally, we emphasized a real lifetime data set to reveal how the proposed distribution worked in it.

A new extension of Chris-Jerry distribution with its properties

Research Scholar, Department of Statistics

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A new extension of Chris-Jerry distribution with its properties"}

In this article, we proposed a new probability distribution called length-biased Chris-Jerry distribution in which length-biased distribution is a specific...

A new extension of Chris-Jerry distribution with its properties

Published Online: Jun 03, 2024

Page range: 5 - 16

Received: Apr 01, 2023

DOI: https://doi.org/10.2478/jamsi-2024-0001

Keywords
Length-biased distribution, Chris-Jerry distribution, Reliability analysis, Moments, Maximum likelihood estimator

© 2024 C. Subramanian et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A new extension of Chris-Jerry distribution with its properties

Published Online: Jun 03, 2024

Page range: 5 - 16

Received: Apr 01, 2023

DOI: https://doi.org/10.2478/jamsi-2024-0001

KeywordsLength-biased distribution, Chris-Jerry distribution, Reliability analysis, Moments, Maximum likelihood estimator

© 2024 C. Subramanian et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Length-biased distribution, Chris-Jerry distribution, Reliability analysis, Moments, Maximum likelihood estimator