Confidence regions for bivariate probability density functions using polygonal areas
No Thumbnail Available
Files
Date
2020-06-30
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi Fen Fakültesi
Abstract
In this study, a polygonal approach is suggested to generalize the
notion of the condence region of the univariate probability density function
for the bivariate probability density function. The equal density approach is
used to demonstrate that condence regions can be polygonal shapes. The bisection
method is the preferred method in nding the equal density value that
reveals the desired condence coecient. Condence regions estimate not only
bivariate unimodal probability functions but also bivariate multimodal probability
functions. An approach is enhanced to estimate these condence regions
for probability density functions which are dened as rectangular, polygonal
and innite expanse areas.
Description
Keywords
Bivariate probability density functions, Bivariate confidence region, Multimodal confidence region