Open AccessTwo-Parameter Nwikpe (TPAN) Distribution with Application
Author(s) -
Barinaadaa John Nwikpe,
Isaac Didi Essi
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v12i130279
Subject(s) - distribution fitting , mathematics , variance gamma distribution , gamma distribution , skewness , half normal distribution , log cauchy distribution , inverse chi squared distribution , exponential distribution , kurtosis , natural exponential family , laplace distribution , statistics , probability density function , distribution (mathematics) , univariate distribution , heavy tailed distribution , shape parameter , exponential family , statistical parameter , probability distribution , mathematical analysis , asymptotic distribution , estimator
A new two-parameter continuous distribution called the Two-Parameter Nwikpe (TPAN) distribution is derived in this paper. The new distribution is a mixture of gamma and exponential distributions. A few statistical properties of the new probability distribution have been derived. The shape of its density for different values of the parameters has also been established. The first four crude moments, the second and third moments about the mean of the new distribution were derived using the method of moment generating function. Other statistical properties derived include; the distribution of order statistics, coefficient of variation and coefficient of skewness. The parameters of the new distribution were estimated using maximum likelihood method. The flexibility of the Two-Parameter Nwikpe (TPAN) distribution was shown by fitting the distribution to three real life data sets. The goodness of fit shows that the new distribution outperforms the one parameter exponential, Shanker and Amarendra distributions for the data sets used for this study.