A bandwidth selection for kernel density estimation of functions of random variables
Abbreviated Journal Title
Comput. Stat. Data Anal.
density estimation; function of random variables; bandwidth; kernel; contrast; CROSS-VALIDATION; Computer Science, Interdisciplinary Applications; Statistics &; Probability
In this investigation, the problem of estimating the probability density function of a function of m independent identically distributed random variables, g(X-1,X-2,...,X-m) is considered. The choice of the bandwidth in the kernel density estimation is very important. Several approaches are known for the choice of bandwidth in the kernel smoothing methods for the case m = 1 and g is the identity. In this study we will derive the bandwidth using the least square cross validation and the contrast methods. We will compare between the two methods using Monte Carlo simulation and using an example from the real life. (C) 2003 Elsevier B.V. All rights reserved.
Computational Statistics & Data Analysis
"A bandwidth selection for kernel density estimation of functions of random variables" (2004). Faculty Bibliography 2000s. 4591.