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.
Original language | English |
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Pages (from-to) | 841-854 |
Number of pages | 14 |
Journal | Journal of Statistical Computation and Simulation |
Volume | 86 |
Issue number | 4 |
DOIs | |
State | Published - Mar 3 2016 |
Keywords
- compound distribution
- count data
- coverage probability
- tolerance package
- Wald confidence interval
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- Statistics, Probability and Uncertainty
- Applied Mathematics