The Unbiased Estimator Based on the Function of Poisson Population

Abstract:

The unbiased estimator of unknown parametric function based on possion’s population is discussed, and the expression of two classes of estimable function are given. Applying Maclaurin's series, it’s proved that the unbiased estimator of the functions are exist, and utilizing the induction method , derived out the generalized expression of unbiased estimator. By means of comparing the unbiased estimator of the two classes of estimable functions, it’s found that the estimator cannot be direct constructed with parametric estimator.

• Periodical: Applied Mechanics and Materials (Volumes 50-51)
• Pages: 713-717
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.50-51.713
• Online since: February 2011
• Authors: Zhen Dong Li, Cui Xian Sun, Cheng Wang
• Keywords: Function, Poisson Population, Unbiased Estimator, Unknown Parameter

References

[1] X.R. Chen: Probability and statistics. Beijing, China Science Press. (2000) p.175.

[2] Mathematics Department of Tongji university: Higher mathematics (sixth edition). Beijing, higher education press. (2008)p.280.

[3] H.F. Shen: Probability and statistics, Beijing, higher education press. 2003. pp.146-147.

[4] J.F. Bu, C.X. Sun: Existence of unbiased estimator for function f(p) under B(n, p) population. Pur and Applied Mathematics, 2(2007), pp.201-204.

[5] J.F. Bu, C.X. Sun: Unbiased Estimator of Parameter in Poisson Distribution. Journal of Tangshan College, 6(2009), pp.8-9.