The Unbiased Estimator Based on the Function of Poisson Population
Zhen Dong Li, Cui Xian Sun, Cheng Wang · Applied Mechanics and Materials · 2011
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.