<abstract xmlns="http://www.w3.org/1999/xhtml"><p> There are diverse lifetime models available to the researchers to predict the uncertain behavior of random events but at times they fail to provide adequate fit for some complex and new data sets. New probability distributions are emerging as lifetime models to meet this ever growing demand of modeling complex real world phenomena from different sciences with better efficiency. Here, in this manuscript we shall compose Ailamujia distribution with that of power series distribution. This newly developed distribution called Ailamujia power series distribution reduces to four new special lifetime models on simple specific function parametric setting. Apart from this some important mathematical properties in the form of propositions will also be discussed. Furthermore, characterization and some statistical properties that include mgf, moments, and parameter estimation have also been discussed. Finally, the potency of newly proposed model has been analyzed statistically and graphically and it has been established from the statistical analysis that newly proposed model offers a better fit when it comes to model some lifetime data set.</p></abstract>

There are diverse lifetime models available to the researchers to predict the uncertain behavior of random events but at times they fail to provide adequate fit for some complex and new data sets. New probability distributions are emerging as lifetime models to meet this ever growing demand of modeling complex real world phenomena from different sciences with better efficiency. Here, in this manuscript we shall compose Ailamujia distribution with that of power series distribution. This newly developed distribution called Ailamujia power series distribution reduces to four new special lifetime models on simple specific function parametric setting. Apart from this some important mathematical properties in the form of propositions will also be discussed. Furthermore, characterization and some statistical properties that include mgf, moments, and parameter estimation have also been discussed. Finally, the potency of newly proposed model has been analyzed statistically and graphically and it has been established from the statistical analysis that newly proposed model offers a better fit when it comes to model some lifetime data set.

A New Compound Lifetime Distribution: Model, Characterization, Estimation and Application

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

There are diverse lifetime models available to the researchers to predict the uncertain behavior of random events but at times they fail to provide adequate...

A New Compound Lifetime Distribution: Model, Characterization, Estimation and Application

Published Online: Jan 11, 2019

Page range: 45 - 57

DOI: https://doi.org/10.2478/jamsi-2018-0012

Keywords
Ailamujia Distribution, Power Series Distribution, Compounding and Order Statistics

© 2019 Adil Rashid, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A New Compound Lifetime Distribution: Model, Characterization, Estimation and Application

Published Online: Jan 11, 2019

Page range: 45 - 57

DOI: https://doi.org/10.2478/jamsi-2018-0012

KeywordsAilamujia Distribution, Power Series Distribution, Compounding and Order Statistics

© 2019 Adil Rashid, et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Ailamujia Distribution, Power Series Distribution, Compounding and Order Statistics