Kernel density estimation:
The Hellinger Distance as a measure of error for the estimation. The kernel
contrasts. The Kernel density estimators of functions of observations. The nonparametric
methods to estimate the hazard function and the mean residual life function. Life Testing: Testing exponentiality against IFR, NBU, NBUE,
and HNBU. Compare life with its equilibrium form.
Selected Publications
Weighted Hellinger Distance
as an error criterion bandwidth selection in kernel estimation (with
I. Ahmad), Journal of Nonparametric Statistics, (2006), 18, 2, 215-226.
On Simulating Multivariate
Non-Normal Distributions using the generalized lambda distribution
(with T. Headrick), Computational Statistics and Data Analysis, (2006),
50, 11, 3343-3353.
Bounds of Moment generating
functions of some life distributions, (Coauthor), Statistical
Papers, (2005), 46, 4, 575-585
Bandwidth selection for
the function of observations Using Hellinger Distance, Journal
of Applied Statistical Science, (2004), 13, 3, 231-240
Further Moments inequalities
of Life distributions with hypothesis testing Applications: The IFRA, NBUC
and DMRL Classes, (Coauthor), Journal of Statistical Planning
and Inference, (2004), 120,1-2,1-12.