Find formula for mode of the negative binomial distribution

Reference no: EM131810305

Question: Fix r and p and let P(k), k = 0, 1, . . denote the probabilities in the negative binomial (r, p) distribution,

a) Show that the consecutive odds ratios are P(k)/P(k - 1) = (r + k -1) q/l (k = 1, 2, . . .)

b) Find a formula for the mode m of the negative binomial distribution.

c) For what values of r and p does the distribution have a double maximum? Which values k attain it?

Reference no: EM131810305

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