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- Title
A two-parameter discrete distribution with a bathtub hazard shape.
- Authors
Sarhan, Ammar M.
- Abstract
This paper introduces a two-parameter discrete distribution based on a continuous two-parameter bathtub distribution. It is the only two-parameter discrete distribution that shows a bathtub-shaped hazard function. Some statistical properties of the distribution are discussed. Three different methods are used to estimate its two unknown parameters. The point estimators of the parameters have no closed form. The bootstrap method is used to estimate the distributions of these point estimators. Different approximations of the interval estimations for the two-parameters are discussed. Real data sets are analyzed to show how this distribution works in practice. A simulation study is performed to investigate the properties of the estimations obtained and compare their performances.
- Subjects
DISCRETE uniform distribution; STATISTICAL bootstrapping; ESTIMATION theory
- Publication
Communications for Statistical Applications & Methods, 2017, Vol 24, Issue 1, p15
- ISSN
2287-7843
- Publication type
Article
- DOI
10.5351/CSAM.2017.24.1.015