Bias Reduction of Estimates By Bootstrap Method
Date of Graduation
Spring 1995
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
George Mathew
Abstract
In general it is desirable to have unbiased estimators for parameters of a probability distribution function. However, there are several estimators which are not unbiased. In this thesis, we show by direct computation that the bias of the bootstrap estimate of μ⁴ can be reduced, where μ is the mean of the population. We consider both nonparametric and parametric cases. In the parametric case, the bias of the bootstrap estimate is computed for normal, exponential and Poisson distributions.
Subject Categories
Mathematics
Copyright
© Linda J. Schuchman
Recommended Citation
Schuchman, Linda J., "Bias Reduction of Estimates By Bootstrap Method" (1995). MSU Graduate Theses/Dissertations. 1021.
https://bearworks.missouristate.edu/theses/1021
Dissertation/Thesis
