BAYESIAN AND BUHLMAN CREDIBILITY IN COLLECTIVE DISTRIBUTIONS

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IBRAHIMPOUR SAMAN; HASSANZADEH AMIN

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Journal: IRANIAN JOURNAL OF INSURANCE RESEARCH (SANAAT-E-BIMEH) Year:2014 | Volume:29 | Issue:2 (114) Page(s): 19-36

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Information Journal Paper

Title

BAYESIAN AND BUHLMAN CREDIBILITY IN COLLECTIVE DISTRIBUTIONS

Author(s)

IBRAHIMPOUR SAMAN | HASSANZADEH AMIN | Issue Writer Certificate

Keywords

PREMIUMQ2

CREDIBILITY THEORYQ2

CREDIBILITY PREMIUMQ2

BAYESIAN PREMIUMQ2

INFINITE MIXED DISTRIBUTIONQ2

Abstract

Credibility theory is a statistical tool for calculating the next period PREMIUM based on the insured's historical experience. Each contract is defined based on a risk parameter. In this paper, a risk parameter for each policyholder is assumed and a model for calculating credibility PREMIUM and bayesian PREMIUM based on both frequency and serevity of losses is examined.The distribution of total severities of claims based on frequency, is an INFINITE MIXED DISTRIBUTION. Finally, by considering prior gamma distribution for risk parameter, the credibility and Bayesian PREMIUM are calculated.

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APA: Copy

IBRAHIMPOUR, SAMAN, & HASSANZADEH, AMIN. (2014). BAYESIAN AND BUHLMAN CREDIBILITY IN COLLECTIVE DISTRIBUTIONS. IRANIAN JOURNAL OF INSURANCE RESEARCH (SANAAT-E-BIMEH), 29(2 (114)), 19-36. SID. https://sid.ir/paper/100847/en

Vancouver: Copy

IBRAHIMPOUR SAMAN, HASSANZADEH AMIN. BAYESIAN AND BUHLMAN CREDIBILITY IN COLLECTIVE DISTRIBUTIONS. IRANIAN JOURNAL OF INSURANCE RESEARCH (SANAAT-E-BIMEH)[Internet]. 2014;29(2 (114)):19-36. Available from: https://sid.ir/paper/100847/en

IEEE: Copy

SAMAN IBRAHIMPOUR, and AMIN HASSANZADEH, “BAYESIAN AND BUHLMAN CREDIBILITY IN COLLECTIVE DISTRIBUTIONS,” IRANIAN JOURNAL OF INSURANCE RESEARCH (SANAAT-E-BIMEH), vol. 29, no. 2 (114), pp. 19–36, 2014, [Online]. Available: https://sid.ir/paper/100847/en

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