Cubic Transmuted Power Function Distribution

Year 2019, Volume: 32 Issue: 4, 1322 - 1337, 01.12.2019

Saiful İslam Ansarı Monjed Samuh Abouzar Bazyarı

https://doi.org/10.35378/gujs.470682

Cited By: 1

Abstract

In statistics, it is always desired to generate
new distributions in order to get more flexible real lifetime data fitting. The
literature is rich of studies that aim to introducing new probability models
and still growing rapidly. A few expansions of some outstanding lifetime
disseminations have been created since last two decades for demonstrating and
examinations numerous kinds of genuine information that having diverse
arbitrary nature. In the present paper, a new family of transmuted distribution
function, the cubic transmuted power function distribution (CTPFD), is
introduced. Explicit formulae for its probability density function and
cumulative distribution function are written. The statistical properties and
some descriptive measures are studied. The moment matching estimation and
maximum likelihood estimation for estimating the unknown distribution
parameters are used. The properties of the estimators (biases, mean squared
errors, and confidence intervals) are investigated via Monte Carlo simulation
analysis. Three data sets have been considered for investigating the usefulness
of CTPFD and have observed that our proposed distribution performs better than
other probability models used in the analysis.

Keywords

Power density function, Cubic transmuted distribution, Order statistic, Reliability function, Moment generating function

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