MONTE CARLO COMPARISON OF APPROXIMATE TOLERANCE INTERVALS FOR THE POISSON DISTRIBUTION

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NAGHIZADEH GHOMI M.; NOROOZI FIROZE A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: MATHEMATICAL RESEARCHES Year:2017 | Volume:2 | Issue:2 Page(s): 81-96

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Title

MONTE CARLO COMPARISON OF APPROXIMATE TOLERANCE INTERVALS FOR THE POISSON DISTRIBUTION

Author(s)

NAGHIZADEH GHOMI M. | NOROOZI FIROZE A. | Issue Writer Certificate

Keywords

POISSON DISTRIBUTIONQ2

CONFIDENCE INTERVALQ2

TOLERANCE INTERVALQ2

Abstract

The problem of finding TOLERANCE INTERVALs receives very much attention of researchers and are widely used in various statistical fields, including biometry, economics, reliability analysis and quality control. TOLERANCE INTERVAL is a random interval that covers a specified proportion of the population with a specified confidence level. In this paper, we compare approximate TOLERANCE INTERVALs for the Poisson random variable. Approximate TOLERANCE INTERVALs are constructed based on approximate CONFIDENCE INTERVALs for the parameter of the POISSON DISTRIBUTION such as Wald interval, Wald interval with continuity correction, score interval, variance stabilizing interval, recentered variance stabilizing interval and Freeman and Tukey interval. Coverage probabilities and expected widths of the proposed TOLERANCE INTERVALs are evaluated by a simulation. Proposed TOLERANCE INTERVALs are used by using an application example.

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APA: Copy

NAGHIZADEH GHOMI, M., & NOROOZI FIROZE, A.. (2017). MONTE CARLO COMPARISON OF APPROXIMATE TOLERANCE INTERVALS FOR THE POISSON DISTRIBUTION. MATHEMATICAL RESEARCHES, 2(2), 81-96. SID. https://sid.ir/paper/260811/en

Vancouver: Copy

NAGHIZADEH GHOMI M., NOROOZI FIROZE A.. MONTE CARLO COMPARISON OF APPROXIMATE TOLERANCE INTERVALS FOR THE POISSON DISTRIBUTION. MATHEMATICAL RESEARCHES[Internet]. 2017;2(2):81-96. Available from: https://sid.ir/paper/260811/en

IEEE: Copy

M. NAGHIZADEH GHOMI, and A. NOROOZI FIROZE, “MONTE CARLO COMPARISON OF APPROXIMATE TOLERANCE INTERVALS FOR THE POISSON DISTRIBUTION,” MATHEMATICAL RESEARCHES, vol. 2, no. 2, pp. 81–96, 2017, [Online]. Available: https://sid.ir/paper/260811/en

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