Some estimates of the normal approximation for mixture of Poisson and gamma random variables
Keyword(s):
In the paper, we present the upper bound of Lp norms ∆p of the order (a1 + a2)/(DZ)-1/2 for all 1 < p< ∞, of the normal approximation for a standardized random variable (Z - EZ)/√DZ, where the random variable Z = a1X + a2Y , a1 + a2 = 1, ai > 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.
2021 ◽
Vol 73
(1)
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pp. 62-67
2002 ◽
Vol 34
(03)
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pp. 609-625
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2005 ◽
Vol 2005
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pp. 717-728
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2002 ◽
Vol 34
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pp. 609-625
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2013 ◽
Vol 18
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pp. 129-142
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