The number of claims follows a negative binomial distribution with parameters β and r, where β is unknown and r is known. You wish to estimate β based on n observations, where xˉ is the mean of those observations. Determine the maximum likelihood estimate of β.
(a) xˉ/r2
(b) xˉ/r
(c) xˉ
(d) rxˉ
(e) r2xˉ
