Open AccessThe Inverse Epsilon Distribution as an Alternative to Inverse Exponential Distribution with a Survival Times Data Example
Author(s) -
Tamás Jónás,
Christophe Chesneau,
József Dombi,
Hassan S. Bakouch
Publication year - 2022
Publication title -
acta cybernetica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.143
H-Index - 18
eISSN - 2676-993X
pISSN - 0324-721X
DOI - 10.14232/actacyb.292077
Subject(s) - kurtosis , exponential function , skewness , inverse , mathematics , exponential distribution , gamma distribution , weibull distribution , survival function , log cauchy distribution , distribution (mathematics) , distribution function , statistical physics , statistics , distribution fitting , mathematical analysis , physics , survival analysis , inverse chi squared distribution , geometry , quantum mechanics
This paper is devoted to a new flexible two-parameter lower-truncated distribution, which is based on the inversion of the so-called epsilon distribution. It is called the inverse epsilon distribution. In some senses, it can be viewed as an alternative to the inverse exponential distribution, which has many applications in reliability theory and biology. Diverse properties of the new lower-truncated distribution are derived including relations with existing distributions, hazard and reliability functions, survival and reverse hazard rate functions, stochastic ordering, quantile function with related skewness and kurtosis measures, and moments. A demonstrative survival times data example is used to show the applicability of the new model.