scholarly journals POISSON APPROXIMATION FOR RANDOM SUMS OF POISSON RANDOM VARIABLES

2014 ◽  
Vol 95 (4) ◽  
Author(s):  
K. Teerapabolarn
Keyword(s):  
Random Variables ◽  
Poisson Approximation ◽  
Random Sums

scholarly journals New Bounds on Poisson Approximation for Random Sums of Independent Binomial Random Variables}

2018 ◽  
Vol 7 (4) ◽  
pp. 43
Author(s):  
Giang Truong Le
Keyword(s):  
Random Variables ◽  
Poisson Approximation ◽  
Random Sums ◽  
Binomial Random Variables

In this paper, we use the Stein-Chen method to obtain new bounds on Poisson approximation for random sums of  independent binomial random variables. Some results related to sums of independent binomial distributed random variables are also investigated. The received results in the present study are more general and sharper than some known results.

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