Chanokgan Sahatsathatsana, Sattra Sahatsathatsana, "On Approximation of the Panjer Distribution by the Poisson and Binomial Distributions," WSEAS Transactions on Mathematics, vol. 20, pp. 520-523, 2021, DOI:10.37394/23206.2021.20.55
Chanokgan Sahatsathatsana, Sattra Sahatsathatsana. On Approximation of the Panjer Distribution by the Poisson and Binomial Distributions.
WSEAS Transactions on Mathematics. 2021;20:520-523. 10.37394/23206.2021.20.55
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 20, 2021
On Approximation of the Panjer Distribution by the Poisson and Binomial Distributions
Authors: ,
Abstract: The aim of this paper is to approximate the panjer distribution by the poisson and binomial distributions, where each bound is obtained by using the z-function and the Stein-Chen identity. For these bounds, it is indicated that a result of each of the Poisson and Binomial approximations yields a good approximation if both α and λ are small.
Keywords:
Binomial distribution, Panjer distribution, Poisson Approximation, Stein-Chen identity, z-function
Pages: 520-523 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 20, 2021, Art. #55 DOI: 10.37394/23206.2021.20.55
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