Interval estimation and hypothesis testing for the generalized poisson distribution

Felix Famoye; P. C. Consul

doi:10.1080/01966324.1990.10737278

Interval estimation and hypothesis testing for the generalized poisson distribution

Felix Famoye, P. C. Consul

Statistics, Actuarial & Data Sciences

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

1 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 language	English
Pages (from-to)	127-158
Number of pages	32
Journal	American Journal of Mathematical and Management Sciences
Volume	10
Issue number	1-2
DOIs	https://doi.org/10.1080/01966324.1990.10737278
State	Published - 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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10.1080/01966324.1990.10737278

Cite this

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title = "Interval estimation and hypothesis testing for the generalized poisson distribution",

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.",

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",

author = "Felix Famoye and Consul, {P. C.}",

note = "Funding Information: We are grateful to Professor M.S. Srivastava for suggesting the Method that uses X only in 2.2 to us. We also thank Ms. Maria Dourado for typing this paper. The financial support of the Natural Sciences and Engineering Research Council of Canada for this work is gratefully acknowledged.",

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journal = "American Journal of Mathematical and Management Sciences",

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AU - Consul, P. C.

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PY - 1990

Y1 - 1990

N2 - 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.

AB - 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.

KW - 1ikelihood ratio test

KW - Conditional 1 ikel ihood ratio

KW - Conditional 1ikelihood ratio test

KW - Interval s'

KW - Key Words and Phrases: confidence

KW - Maximum 1 ikel ihood ratio'

KW - Normal approximation

KW - Nuisance parameters'

KW - Power of a test

KW - Suff icient statistics

KW - UMP test

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DO - 10.1080/01966324.1990.10737278

M3 - Article

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SN - 0196-6324

VL - 10

SP - 127

EP - 158

JO - American Journal of Mathematical and Management Sciences

JF - American Journal of Mathematical and Management Sciences

IS - 1-2

ER -

Interval estimation and hypothesis testing for the generalized poisson distribution

Abstract

Keywords

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