Alpha Power Transformed Aradhana Distributions, Its Properties and Applications

Maryam Mohiuddin; R Kannan

doi:10.17485/IJST/v14i30.598

Article

Alpha Power Transformed Aradhana Distributions, Its Properties and Applications

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v14i30.598

Year: 2021, Volume: 14, Issue: 30, Pages: 2483-2493

Original Article

Alpha Power Transformed Aradhana Distributions, Its Properties and Applications

Maryam Mohiuddin^1*, R Kannan²

¹Ph. D, Department of Statistics, Annamalai University, Tamil Nadu, 608002, India
²Professor, Department of Statistics, Annamalai University, Tamil Nadu, 608002, India

*Corresponding Author
Email: [email protected]

Received Date:07 April 2021, Accepted Date:11 May 2021, Published Date:13 September 2021

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

Abstract

Objectives: To introduce a new two-parameter lifetime distribution that will be more flexible in modeling real lifetime data over the existing common lifetime distributions. Methods: The new two-parameter lifetime distribution is generated by using the Alpha Power Transformed model developed by Mahdavi and Kundu. In this method, the probability density function and cumulative distribution function of Aradhana distribution are used as a base distribution for generating Alpha Power Transformed Aradhana Distribution. The probability density function and cumulative distribution function of the Aradhana distribution are substituted in the Alpha Power Transformed model to get the new and more flexible lifetime distribution for modeling real-life data. Findings: The authors reveal that the hazard rate of the Alpha Power Transformed Aradhana is increasing. They also found that the Alpha Power Transformed Aradhana distribution gives a much close fit than the two-parameter Aradhana distribution, Power Aradhana, Length Biased Garima, Exponential and Garima distribution. Novelty : In this study, a novel probability distribution is introduced. The Alpha Power Transformed Aradhana distribution is capable of modeling upside-down bathtub shaped hazard rates. The model is appropriate to fit the asymmetrical data that are not correctly fitted by other distributions. The said distribution can be applied to different fields like insurance, earthquake data for analysis, reliability etc.

Keywords: Reliability Analysis; Moments; Parameter Estimation

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Copyright

© 2021 Mohiuddin & Kannan. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)