Open AccessSome estimates of the normal approximation for mixture of Poisson and gamma random variables
Author(s) -
J. Sunklodas
Publication year - 2010
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2010.86
Subject(s) - poisson distribution , random variable , mathematics , normal distribution , variable (mathematics) , gamma distribution , distribution (mathematics) , combinatorics , statistics , mathematical analysis
In the paper, we present the upper bound of Lp norms ∆p of the order (a1 + a2)/(DZ)-1/2 for all 1 0, i = 1, 2, the random variable X is distributed by the Poisson distribution with the parameter λ > 0, and the random variable Y by the standard gamma distribution Γ (α, 0, 1) with the parameter α > 0.