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Point estimation of parameter of Poisson distribution for truncated and censored data. (Chinese. English summary) Zbl 1340.62101

Summary: The point estimation of parameter of Poisson distribution for truncated and censored data is studied by EM algorithm and MCMC method. The missing datum is filled in and the complete datum is obtained. The EM iterative formula of the parameter is given. After sampling from the full conditional distributions, Gibbs samples of the parameter are obtained, the mean of Gibbs samples is taken as MCMC estimation of the parameter. The random simulation results show that the effect of the estimation is good, and the estimation is relatively stable and precision is also higher.

MSC:

62N01 Censored data models
62N02 Estimation in survival analysis and censored data
62F10 Point estimation
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