| Title |
Some estimates of the normal approximation for mixture of Poisson and gamma random variables |
| Another Title |
Normaliosios aproksimacijos įverčiai mišriajam Puasono ir gama atsitiktiniam dydžiui. |
| Authors |
Sunklodas, Jonas Kazys |
| DOI |
10.15388/LMR.2010.86 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. Lietuvos matematikų draugijos darbai. 2010, T. 51, p. 475-479.. ISSN 0132-2818 |
| Keywords [eng] |
Approximation, normal ; Norm, L_p ; Distribution, Poisson ; Distribution, gamma ; Mixture of Poisson and gamma r.v |
| Abstract [eng] |
In the paper, we present the upper bound of L_p norms Δ_p of the order (a1+a2)/(DZ)^−1/2 for all 1≤p≤∞, of the normal approximation for a standardized random variable [...], where the random variable Z=a_1X+a_2Y, a_1+a_2=1, a_i≥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. |
| Type |
Conference paper |
| Language |
English |
| Publication date |
2010 |
| CC license |
|
