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- Title
E-Bayesian Estimation and Hierarchical Bayesian Estimation of Poisson Distribution Parameter under Entropy Loss Function.
- Authors
Chunping Li; Huibing Hao
- Abstract
In this paper, a new parameter estimation method, named E-Bayesian estimation, is introduced to estimate the unknown parameter of the Poisson distribution. Based on the entropy loss function, formulas of E-Bayesian estimation and hierarchical Bayesian estimation for the unknown parameter are given, and the properties of E-Bayesian estimation and hierarchical Bayesian estimation are also discussed. Compare with hierarchical Bayesian estimation, the expression of E-Bayesian estimation is simpler; therefore, the E-Bayesian estimation method is worth being recommended. Finally, a real data of air crash happened in China is used to demonstrate the usefulness and validity of the proposed model and method.
- Subjects
CHINA; LOSS functions (Statistics); ENTROPY (Information theory); POISSON distribution; PARAMETER estimation; POISSON processes; HIERARCHICAL Bayes model
- Publication
IAENG International Journal of Applied Mathematics, 2019, Vol 49, Issue 3, p369
- ISSN
1992-9978
- Publication type
Article