Consider the negative binomial distribution with parameters r and ß has probabilities (k+ Pr(N = k) = pk = k +B 1+B, k = 0,1,2,..., r>0, B>0. Demonstrate that the negative binomial diştribution is a member of the (a. h.0

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--Actuarial math--

Consider the negative binomial distribution with parameters r and ß has
probabilities
k+r-1
Pr(N = k) = Pk =
k
k = 0, 1,2,..., r>0, B>0.
Demonstrate that the negative binomial distribution is a member of the (a, b,0)
class.
Transcribed Image Text:Consider the negative binomial distribution with parameters r and ß has probabilities k+r-1 Pr(N = k) = Pk = k k = 0, 1,2,..., r>0, B>0. Demonstrate that the negative binomial distribution is a member of the (a, b,0) class.
The (a, b,0) class.
Distribution
pmf
b.
a
- (*)
k
Negative binomial
binomial Pk =
k = 0,1,2,... 46
A (r-1)
1+B
1+ B
Transcribed Image Text:The (a, b,0) class. Distribution pmf b. a - (*) k Negative binomial binomial Pk = k = 0,1,2,... 46 A (r-1) 1+B 1+ B
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