Open AccessExponentiated quasi power Lindley power series distribution with applications in medical science
Author(s) -
Anwar Hassan,
Adil Rashid,
N. Akhtar
Publication year - 2020
Publication title -
journal of applied mathematics, statistics and informatics
Language(s) - English
Resource type - Journals
eISSN - 1339-0015
pISSN - 1336-9180
DOI - 10.2478/jamsi-2020-0004
Subject(s) - series (stratigraphy) , power series , quantile , mathematics , power (physics) , moment (physics) , function (biology) , quantile function , probability density function , statistical physics , statistics , cumulative distribution function , mathematical analysis , physics , paleontology , classical mechanics , quantum mechanics , evolutionary biology , biology
The present paper introduces an advanced five parameter lifetime model which is obtained by compounding exponentiated quasi power Lindley distribution with power series family of distributions. The EQPLPS family of distributions contains several lifetime sub-classes such as quasi power Lindley power series, power Lindley power series, quasi Lindley power series and Lindley power series. The proposed distribution exhibits decreasing, increasing and bathtub shaped hazard rate functions depending on its parameters. It is more flexible as it can generate new lifetime distributions as well as some existing distributions. Various statistical properties including closed form expressions for density function, cumulative function, limiting behaviour, moment generating function and moments of order statistics are brought forefront. The capability of the quantile measures in terms of Lambert W function is also discussed. Ultimately, the potentiality and the flexibility of the new class of distributions has been demonstrated by taking three real life data sets by comparing its sub-models.