Open AccessRemarks on and Characterizations of 2S-Lindley and 2D-Lindley Distributions Introduced by Chesneau et al. (2020)
Author(s) -
G. G. Hamedani,
Mahrokh Najaf
Publication year - 2021
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.v17i1.3702
Subject(s) - mathematics , independent and identically distributed random variables , independence (probability theory) , random variable , statistical physics , distribution (mathematics) , pure mathematics , mathematical economics , statistics , mathematical analysis , physics
Chesneau et al.(2020) considered the distributions of sum and dierences of two independent and identically distributed random variables with the common Lindley distribution. They derived, very nicely, the above mentioned distributions and provided certain important mathematical and statistical properties as well as simulations and applications of the new distributions. In this short note, we like to show that the assumption of ”independence” can be replaced with a much weaker assumption of ”sub-independence”. Then we present certain characterizations of the proposed distributions to complete, in someway, their work.