A General Transmuted Family of Distributions

By M. Rahman, Bander Al-Zahrani, Muhammad Qaiser Shahbaz. Pakistan Journal of Statistics and Operation Research, 2018

68 citations recorded by the source corpus.

In this article we have proposed a general transmuted family of distributions with emphasis on the cubic transmuted family of distributions. This new class of distributions provide additional exibility in modeling the bi-modal data. The proposed cubic transmuted family of distributions has been linked with the T-X family of distributions proposed by Alzaatreh et al. (2013). Some members of the proposed family of distributions have been discussed. The cubic transmuted exponential distribution has been discussed in detail and various statistical properties of the distribution have been explored. The maximum likelihood estimation for parameters of cubic transmuted exponential distribution has also been discussed alongside Monte Carlo simulation study to assess the performance of the estimation procedure. Finally, the cubic transmuted exponential distribution has been tted to real datasets to investigate it's applicability.

Subfields: Finance, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/354083c56b08c4f4322ffc083eae84658d434e72

Citations in the corpus

• Recent Developments in Distribution Theory: A Brief Survey and Some New Generalized Classes of distributions (2019, unknown): “Recently, Rahman et al. (2018) proposed a general transmuted family of distributions, is defined by ( ) ( ) ( )( ) ( ) 1 1 ; ,, ; ; ; k i i i iG x x x xF F F x = = + − (5) with 1,1i − for i = 1;2; · · · ; k and 1 1. k i i k = − The general transmuted family reduces to the base…”