You are given: (i) Low-hazard risks have an exponential claim size distribution with mean 0. (ii) Medium-hazard risks have an exponential claim size distribution with mean 20 . (iii) High-hazard risks have an exponential claim size distribution with mean 30. (iv) No claims from low-hazard risks are observed. (v) Three claims from medium-hazard risks are observed, of sizes 1, 2 and 3. (vi) One claim from a high-hazard risk is observed, of size 15. Determine the maximum likelihood estimate of 0. (A) 1 (В) 2 (C) (D) 4 (E) 3.
You are given: (i) Low-hazard risks have an exponential claim size distribution with mean 0. (ii) Medium-hazard risks have an exponential claim size distribution with mean 20 . (iii) High-hazard risks have an exponential claim size distribution with mean 30. (iv) No claims from low-hazard risks are observed. (v) Three claims from medium-hazard risks are observed, of sizes 1, 2 and 3. (vi) One claim from a high-hazard risk is observed, of size 15. Determine the maximum likelihood estimate of 0. (A) 1 (В) 2 (C) (D) 4 (E) 3.
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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 22E
Related questions
Question
H.W.2
Transcribed Image Text:(В)
Discrete uniform
(C)
Poisson
(D)
Binomial
(E)
Either Poisson or Binomial
You are given:
(i)
Low-hazard risks have an exponential claim size distribution with mean 0.
(ii)
Medium-hazard risks have an exponential claim size distribution with mean 20 .
(iii)
High-hazard risks have an exponential claim size distribution with mean 30 .
(iv)
No claims from low-hazard risks are observed.
(v)
Three claims from medium-hazard risks are observed, of sizes 1, 2 and 3.
(vi)
One claim from a high-hazard risk is observed, of size 15.
Determine the maximum likelihood estimate of 0.
(A)
1
(В)
2
(C)
(D)
4
(E)
You are given:
(i)
= pure premium calculated from partially credible data
X partial
(ii)
µ = E[
%3D
partial
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