Journal of Applied Information Science

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Performance Rating of Transmuted Ailamujia Distribution:An Analytical Approach


Affiliations
1 Department of Computer Science & Engineering, Islamic University of Science & Technology, Awantipoora, Jammu & Kashmir, India
2 Department of Statistics, University of Kashmir, Srinagar, India
3 Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, Uttar Pradesh, India
     

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In this article, a generalization of the Ailamujia distribution so-called transmuted Ailamujia distribution is proposed and studied. We will use the quadratic rank transmutation map (QRTM) in order to generate a flexible family of probability distributions taking Ailamujia distribution as the base value distribution by introducing a new parameter that would offer more distributional flexibility. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. The superiority of the proposed distribution has been illustrated with an application to a real data set.

Keywords

Ailamujia Distribution, Reliability Function, Maximum Likelihood Estimation, Real Life Application.
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  • Performance Rating of Transmuted Ailamujia Distribution:An Analytical Approach

Abstract Views: 216  |  PDF Views: 1

Authors

Afaq Ahmad
Department of Computer Science & Engineering, Islamic University of Science & Technology, Awantipoora, Jammu & Kashmir, India
S. P. Ahmad
Department of Statistics, University of Kashmir, Srinagar, India
A. Ahmed
Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, Uttar Pradesh, India

Abstract


In this article, a generalization of the Ailamujia distribution so-called transmuted Ailamujia distribution is proposed and studied. We will use the quadratic rank transmutation map (QRTM) in order to generate a flexible family of probability distributions taking Ailamujia distribution as the base value distribution by introducing a new parameter that would offer more distributional flexibility. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. The superiority of the proposed distribution has been illustrated with an application to a real data set.

Keywords


Ailamujia Distribution, Reliability Function, Maximum Likelihood Estimation, Real Life Application.