Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2001; 16(2): 297-308

Printed June 1, 2001

Copyright © The Korean Mathematical Society.

A Partial Ordering of Conditionally Positive Quadrant Dependence

Jong Il Baek, Jeong Yeol Choi, Chun Ho Park

Wonkwang University, Wonkwang University, Jeon Ju University

Abstract

A partial ordering is developed here among conditionally positive quadrant dependent($CPQD$) bivariate random vectors. This permits us to measure the degree of $CPQD$-ness and to compare pairs of $CPQD$ random vectors. Some properties and closure under certain statistical operations are derived.

Keywords: $CPQD$, $CPQD$ ordering, $\uparrow CPQD$, convex, convolution, $CSI$, limit in distribution

MSC numbers: 62H20, 62H99