Stochastic ordering of classical discrete distributions. (English) Zbl 1197.60017
The authors discuss conditions for stochastic ordering of some discrete distributions by using different methods such as half monotone likelihood ratios, explicit coupling, Markov chain comparison, analytic calculation and comparison of Lévy measures.
Reviewer: B. L. S. Prakasa Rao (Hyderabad)
MSC:
| 60E15 | Inequalities; stochastic orderings |
Keywords:
Bernoulli convolution; binomial distribution; coupling; hypergeometric distribution; negative binomial distribution; monotone likelihood ratio; occupancy problem; Pascal distribution; Poisson distribution; stochastic ordering; waiting timesReferences:
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