Open AccessIntervened Exponential Distribution: Properties and Applications
Author(s) -
Vilayat Ali Bhat,
Sudesh Pundir
Publication year - 2022
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v18i1.3829
Subject(s) - mathematics , statistics , exponential distribution , monte carlo method , moment generating function , exponential function , cumulative distribution function , probability density function , mean squared error , reliability (semiconductor) , survival function , residual , failure rate , survival analysis , mathematical analysis , algorithm , power (physics) , physics , quantum mechanics
This manuscript aims to study the intervention-based probability model. Statistical and reliability properties such as the expressions for, cumulative density function (CDF), mean deviations about mean and median, rth order central and non-central moments, ”generation functions” for moments have been derived. Moreover, the expression for reliability function, hazard rate, reverse hazard rate, aging intensity, mean residual life function, stress-strength reliability, and entropy metrics due to R´enyi and Shannon are also derived. Monte Carlo simulation study performance of maximum likelihood estimates (MLEs) has been carried out, followed by calculations of Average Bias (ABias), and Mean Square Error (MSE). The applicability of the model in real-life situations has been discussed by analyzing the two real-life data sets.