Open AccessBurhan Distribution with Structural Properties and Applications in Distinct Areas of Science
Author(s) -
Adeel Ahmad,
Muzamil Jallal,
S. Quratul Ain,
Rajnee Tripathi
Publication year - 2021
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.7221.429445
Subject(s) - gamma distribution , inverse chi squared distribution , exponential distribution , exponential family , distribution fitting , cumulative distribution function , distribution (mathematics) , mathematics , probability density function , univariate distribution , log cauchy distribution , variance gamma distribution , generalized gamma distribution , half normal distribution , ratio distribution , posterior predictive distribution , normal gamma distribution , maximum likelihood , statistics , asymptotic distribution , mathematical analysis , bayesian linear regression , bayesian probability , estimator , bayesian inference
In this work a novel distribution has been explored referred as Burhan distribution. This distribution is obtained through convex combination of exponential and gamma distribution to analyse complex real-life data. The distinct structural properties of the formulated distribution have been derived and discussed. The behaviour of probability density function (pdf) and cumulative distribution function (cdf) are illustrated through different graphs. The estimation of the established distribution parameters are performed by maximum likelihood estimation method. Eventually the versatility of the established distribution is examined through two real life data sets.