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Mehran Naghizadeh Qomi

Mehran Naghizadeh Qomi

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
HIndex: 0/00
Faculty: Faculty of Mathematical Sciences
Address: Department of Statistics - University of Mazandaran - Babolsar- Iran
Phone: 01135302473

Research

Title
Approximate tolerance intervals for the discrete Poisson–Lindley distribution
Type
JournalPaper
Keywords
compound distribution; count data; coverage probability; tolerance package; Wald confidence interval
Year
2016
Journal JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
DOI
Researchers Mehran Naghizadeh Qomi ، azadeh kiapour ، derek young

Abstract

The Poisson–Lindley distribution is a compound discrete distribution that can be used as an alternative to other discrete distributions, like the negative binomial. This paper develops approximate one-sided and equal-tailed two-sided tolerance intervals for the Poisson–Lindley distribution. Practical applications of the Poisson–Lindley distribution frequently involve large samples, thus we utilize large-sample Wald confidence intervals in the construction of our tolerance intervals. A coverage study is presented to demonstrate the efficacy of the proposed tolerance intervals. The tolerance intervals are also demonstrated using two real data sets. The R code developed for our discussion is briefly highlighted and included in the tolerance package