A Modification of Pranav Distribution using Quadratic Rank Transmutation Map Approach

C. C. Odom¹ , E. C. Nduka² , M.A. Ijomah³

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.193-202, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.193202

Online published on Apr 30, 2019

Copyright © C. C. Odom, E. C. Nduka, M.A. Ijomah . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
A modification of the Pranav distribution is derived using the Quadratic Rank Transmutation Map (QRTM) approach and named Transmuted Pranav distribution (TPD). Mathematical properties of the new distribution are also derived. The new distribution is applied to real life data from the behavioral sciences and the method of maximum likelihood is used to estimate the parameters. The goodness of fit of the proposed distribution is compared with that of some competing distributions and the results show the superior performance of the proposed distribution.

Key-Words / Index Term :
Quadratic Rank Transmutation Map, Pranav distribution, Moment Generating Function, Rényi Entropy, Order Statistics, Reliability Analysis, Maximum Likelihood Estimation

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