2. The number of claims follows the Poisson distribution with parameter X. A particular insured had three claims in the past three years. Use Bühlmann credibility to estimate the claim frequency for this insured if a) The value of A has pdf ƒ(X) = 4X¯-5, λ > 1. b) A is uniformly distributed on (0, 1).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 54E
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2. The number of claims follows the Poisson distribution with
parameter A. A particular insured had three claims in the past
three years. Use Bühlmann credibility to estimate the claim
frequency for this insured if
a) The value of A has pdf f(A) = 4X-5 , 1 > 1.
b) A is uniformly distributed on (0, 1).
Transcribed Image Text:2. The number of claims follows the Poisson distribution with parameter A. A particular insured had three claims in the past three years. Use Bühlmann credibility to estimate the claim frequency for this insured if a) The value of A has pdf f(A) = 4X-5 , 1 > 1. b) A is uniformly distributed on (0, 1).
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