Interval estimation and hypothesis testing for the generalized poisson distribution

Felix Famoye, P. C. Consul

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The problem of interval estimation for the generalized Poisson distribution (GPD) is considered for small and large samples. Confidence intervals for each of the two parameters, when one is unknown and when both are unknown, are derived. The problem of setting confidence regions for the two parameters is discussed. Furthermore, tests are developed for testing hypotheses on the parameters of the GPD model when one or both parameters are unknown. Three numerical examples are given to illustrate some of these procedures.

Original languageEnglish
Pages (from-to)127-158
Number of pages32
JournalAmerican Journal of Mathematical and Management Sciences
Volume10
Issue number1-2
DOIs
StatePublished - 1990

Keywords

  • 1ikelihood ratio test
  • Conditional 1 ikel ihood ratio
  • Conditional 1ikelihood ratio test
  • Interval s'
  • Key Words and Phrases: confidence
  • Maximum 1 ikel ihood ratio'
  • Normal approximation
  • Nuisance parameters'
  • Power of a test
  • Suff icient statistics
  • UMP test

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