15 Consider a block of N-10000 risk units j. each distribution of claims of compound mixed Poisso...
15 Consider a block of N-10000 risk units j. each distribution of claims of compound mixed Poisson type baring a same expected number n,-0.1 of claims. The standard Ht ion of the mixing variable q, of each risk uni js o 02. re, the joint claim size d.f. is approximated by a discrete monetary unit, say £1000, in ntble, where s, is the probability that the size of a claim as given in terms of some suitable Z, 16 s, 0.8 0.1 00S002 003 Calculate x and ơx for the whole block in the following two cases: al assuming that the mixing variable q, qis the same for all risk units, but that the risks are conditionally independent given the value of the mixing variable q; (b) assuming that the mixing variables q,are mutually independent.
15 Consider a block of N-10000 risk units j. each distribution of claims of compound mixed Poisson type baring a same expected number n,-0.1 of claims. The standard Ht ion of the mixing variable q, of each risk uni js o 02. re, the joint claim size d.f. is approximated by a discrete monetary unit, say £1000, in ntble, where s, is the probability that the size of a claim as given in terms of some suitable Z, 16 s, 0.8 0.1 00S002 003 Calculate x and ơx for the whole block in the following two cases: al assuming that the mixing variable q, qis the same for all risk units, but that the risks are conditionally independent given the value of the mixing variable q; (b) assuming that the mixing variables q,are mutually independent.