Bounds for the difference between median and mean of gamma and poisson distributions

Statistics and Probability Letters - Tập 4 - Trang 281-283 - 1986
Jeesen Chen1
1Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221, USA

Tài liệu tham khảo

Cheng, 1949, The normal approximation to the Poisson distribution and a proof of a conjecture of Ramanujan, Bulletin of the American Mathematical Society, 55, 396, 10.1090/S0002-9904-1949-09223-6 Doodson, 1917, Relation of the mode, median and mean in frequency curves, Biometrika, 11, 425 Groeneveld, 1977, The mode, median, and mean inequality, The American Statistician, 31, 120, 10.2307/2682959 Hogg, 1978 Szegó;o, 1928, Über einige von S. Ramanujan gestellte Aufgaben, J. London Mathematical Society, 3, 225, 10.1112/jlms/s1-3.3.225 Teichere, 1955, An inequality on Poisson probabilities, Annals of Mathematical Statistics, 26, 147, 10.1214/aoms/1177728608 Watson, 1929, Theorems stated by Ramanujan (V): Approximations connected with ex, 29, 293