Confidence Interval Estimation in the Class of Modified Power Series Distributions

F. F. Famoye; P. C. Consul

doi:10.1080/02331888908802153

Confidence Interval Estimation in the Class of Modified Power Series Distributions

F. F. Famoye, P. C. Consul

Statistics, Actuarial & Data Sciences

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The problem of interval estimation for the class of modified power series distribution (MPSD) is considered in this paper. Both the cases of small and large samples are investigated in setting 100 (1 - a) % confidence bounds for the parameter. By using the critical region for the uniformly most powerful test, we obtain a uniformly most accurate one-sided confidence bound. The general results are then applied to the generalized POISSON, generalized negative binomial and generalized logarithmic series distributions and particular results are derived for them.

Original language	English
Pages (from-to)	141-143
Number of pages	3
Journal	Statistics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1080/02331888908802153
State	Published - Jan 1 1989

Keywords

Modified power series distribution
confidence intervals
generalized POISSON distribution
generalized logarithmic series distribution
generalized negative binomial distribution
uniformly most accurate confidence bound
uniformly most powerful test

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10.1080/02331888908802153

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AB - The problem of interval estimation for the class of modified power series distribution (MPSD) is considered in this paper. Both the cases of small and large samples are investigated in setting 100 (1 - a) % confidence bounds for the parameter. By using the critical region for the uniformly most powerful test, we obtain a uniformly most accurate one-sided confidence bound. The general results are then applied to the generalized POISSON, generalized negative binomial and generalized logarithmic series distributions and particular results are derived for them.

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KW - confidence intervals

KW - generalized POISSON distribution

KW - generalized logarithmic series distribution

KW - generalized negative binomial distribution

KW - uniformly most accurate confidence bound

KW - uniformly most powerful test

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Confidence Interval Estimation in the Class of Modified Power Series Distributions

Abstract

Keywords

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