2017 |
Volume 5 |
Issue 1
Performance rating of Transmuted Ailamujia Distribution: An Analytical Approach
1.
Afaq Ahmad
– Dept. Of Computer Science & Engg., Islamic Univ. Of Science & Tech., Awantipoo, J&k, India.
2.
S.p. Ahmad
– Dept. Of Computer Science & Engg., Islamic Univ. Of Science & Tech., Awantipoo, J&k, India.
3.
A. Ahmed
– Dept. Of Computer Science & Engg., Islamic Univ. Of Science & Tech., Awantipoo, J&k, India.
Received
28-Sep-2017
|
Accepted
-
|
Published
28-Sep-2017
|
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.
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