THE WEIGHTED INVERSE AILAMUJIA DISTRIBUTION WITH APPLICATIONS TO REAL LIFE DATA | [Pakistan Journal of Statistics • 2022]

Author(s):

1. Aijaz Ahmad: Department of Mathematics, Bhagwant University,Rajasthan, Ajmer,India

2. S. Qurat ul Ain: Department of Mathematics, Bhagwant University,Rajasthan, Ajmer,India

3. Afaq Ahmad: Department of Mathematical Sciences, Islamic University of Science & Technology,Awantipora, Kashmir,India

4. Rajnee Tripathi: Department of Mathematics, Bhagwant University,Rajasthan, Ajmer,India

Abstract:

This work addresses the weighted inverse Ailamujia distribution, which is an expansion of the inverse Ailamujia distribution (WIAD). Several distributional characteristics of the established distribution have been deduced and evaluated. The explicit expression of distinct ageing factors has been achieved. Several plots depict the behaviour of the probability density function (PDF) and the cumulative distribution function (CDF). The parameters of the formed distribution were estimated using the wellknown maximum likelihood methodology. Furthermore, the likelihood ratio test of the stated distribution was achieved. Eventually, two examples are offered to exemplify the effectiveness of the formulated model.

Page(s): 451-471

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 38, Issue: 4, Year: 2022

Keywords:

weighted distribution , Moments , Order statistics , Reliability measures , likelihood ratio test , Inverse Ailamujia distribution

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