Bounds for the median of the negative binomial distribution

Springer Science and Business Media LLC - Tập 40 - Trang 185-189 - 1993
R. van de Ven1, N. C. Weber1
1School of Mathematics and Statistics F07, University of Sydney, Australia

Tóm tắt

Bounds are obtained for the median of the negative binomial distribution which are valid for all possible parameter values of the distribution when the median is defined as inf {x: P(X≤x)≥1/2}.

Tài liệu tham khảo

Chen J, Rubin H (1986) Bounds for the difference between mean and median of gamma and Poisson distributions. Statistics and Probability Letters 4:281–283 Groeneveld RA, Meeden G (1977) The mode, median, and mean inequality. The American Statistician 31:120–121 Patil GP (1960) On the evaluation of the negative binomial distribution with examples. Technometrics 2:501–505 Payton ME, Young LJ, Young JH (1989) Bounds for the difference between median and mean of beta and negative binomial distributions. Metrika 36:347–354