R. Vandeven et Nc. Weber, PERCENTILE RELATED BOUNDS AND ESTIMATOR FOR THE MEAN OF THE NEGATIVE BINOMIAL-DISTRIBUTION, Statistics, 27(3-4), 1996, pp. 345-352
Upper and lower bounds are obtained for the mean of the negative binom
ial distribution. These bounds are simple functions of a percentile de
termined by the shape parameter. The result is then used to obtain a r
obust estimate of the mean when the shape parameter is known.