Sankhya: The Indian Journal of Statistics

1993, Volume 55, Series A, Pt. 1, 153-158

A CHARACTERIZATION OF THE $/CHI^2$-STATISTIC

By

WOLFGANG STADJE, University of Osnabruck

 

SUMMARY. for comparing a set of observed relative frequencies with a hypothetical underlying probability vector a notion of discrepancy function is defined by introducing some reasonable properties. It is shown that there is essentially one discrepancy function (upto a constant function), which in the case of a complete partition of the same space coincides with the usual $/chi^2$-statistic.

AMS (1990) subject classification. 62H05

Key words and phrases. $/chi^2$-statistic, discrepancy function, characterization

FULL PAPER.

This article in Mathematical Reviews.