Second order approximations in sequential point estimation of the probability of zero in Poisson distribution

Second order approximations in sequential point estimation of the probability of zero in Poisson distribution

In analysis count data, the Poisson model becomes overtly restrictive because of Ovër-dispërsed Gr Under-dispersëd in such data. When COUnt data are Under-dispèrsëd specific models such as généralized linear mGdels (GLM) proposed. Some estimation problems with unknown parameter cannot attain the minimum risk where the sample size is fixed. To resolving this captivity, working with a sequential sampling procedure can to be useful. In this paper, we consider sequential point estimation of the probability of zero in Poisson distribution. Second order approximations to the expected Sample size and the risk of the sequential procedure are derived as the cost per observations tends to zero. Finally, simulation study is given.