ESTIMATION OF PARAMETER OF PROPORTION IN BINOMIAL DISTRIBUTION USING ADJUSTED PRIOR DISTRIBUTION

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ESFANDIARI H.; NASIRI P.; SHADROKH A.; GOLALIZADEH M.

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Journal: MATHEMATICAL RESEARCHES Year:2017 | Volume:2 | Issue:2 Page(s): 1-12

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Information Journal Paper

Title

ESTIMATION OF PARAMETER OF PROPORTION IN BINOMIAL DISTRIBUTION USING ADJUSTED PRIOR DISTRIBUTION

Author(s)

ESFANDIARI H. | NASIRI P. | SHADROKH A. | GOLALIZADEH M. | Issue Writer Certificate

Keywords

PRIOR DISTRIBUTIONSQ2

BAYES ESTIMATEQ1

E- BAYES ESTIMATEQ2

MAXIMUM LIKELIHOOD ESTIMATEQ2

MEAN SQUARE ERRORQ2

Abstract

Historically, various methods were suggested for the estimation of Bernoulli and Binomial distributions parameter. One of the suggested methods is the Bayesian method, which is based on employing prior distribution. Their sound selection on parameter space play a crucial role in reducing posterior Bayesian estimator error. At times, large scale of the parametric changes on parameter space brings about an increase in error rate and enlargement of the comparison criteria .therefore, determining appropriate prior distribution on parameter space plays a key part in reducing comparison criteria. Accordingly, in this paper appropriately modified prior distribution was considered for Binomial distribution parameter and then, while extending certain conditions on prior distribution hyper parameters, an effective estimate under the title Expected Bayesian Estimate (AKA E-Bayes) would be proposed. At last, to evaluate the measurement methodologies utilized in this paper, under MSE criteria, extensive simulation studies were conducted, and the results were analyzed and above mentioned methods will be applied in a real example.

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APA: Copy

ESFANDIARI, H., NASIRI, P., SHADROKH, A., & GOLALIZADEH, M.. (2017). ESTIMATION OF PARAMETER OF PROPORTION IN BINOMIAL DISTRIBUTION USING ADJUSTED PRIOR DISTRIBUTION. MATHEMATICAL RESEARCHES, 2(2), 1-12. SID. https://sid.ir/paper/260808/en

Vancouver: Copy

ESFANDIARI H., NASIRI P., SHADROKH A., GOLALIZADEH M.. ESTIMATION OF PARAMETER OF PROPORTION IN BINOMIAL DISTRIBUTION USING ADJUSTED PRIOR DISTRIBUTION. MATHEMATICAL RESEARCHES[Internet]. 2017;2(2):1-12. Available from: https://sid.ir/paper/260808/en

IEEE: Copy

H. ESFANDIARI, P. NASIRI, A. SHADROKH, and M. GOLALIZADEH, “ESTIMATION OF PARAMETER OF PROPORTION IN BINOMIAL DISTRIBUTION USING ADJUSTED PRIOR DISTRIBUTION,” MATHEMATICAL RESEARCHES, vol. 2, no. 2, pp. 1–12, 2017, [Online]. Available: https://sid.ir/paper/260808/en

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