A TEST OF INDEPENDENCE BASED ON THE $(r,s)$-DIRECTED DIVERGENCE

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Published: Jun 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4532
Keywords:
product of marginal probabilities contingency tables proportional allocation independence among strata directed divergence statistics discrete random variables random sampling stratified random sampling independence tests

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D. MORALES
Departamento de Estadistica. e I. O., Facultad de Matema.ticas, Universidad Complutense de Madrid, 28040 MADRID (SPAIN).
L. PARDO
Departamento de Estadistica. e I. O., Facultad de Matema.ticas, Universidad Complutense de Madrid, 28040 MADRID (SPAIN).
M. SALICRU
Departamento de Estadistica., Universidad de Barcelona, 08028 BARCELONA (SPAIN).
M. L. MENÉNDEZ
Departamento de Ma.tematica. a.plica.da, E. T . S. de Arquitectura., Universidad Politecnica. de Madrid, 28040 MADRID (SPAIN).

Abstract




$(r,s)$-Directed divergence statistics quantifies the divergence between a joint probability measure and the product of its marginal prob­ abilities on the basis of contingency tables. Asymptotic properties of these statistics are investigated either considering random sampling or stratified random sampling with proportional allocation and indepen­ dence among strata. To finish some tests of hypotheses of independence are presented.




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How to Cite
MORALES, D., PARDO, L., SALICRU, M., & MENÉNDEZ, M. L. (1992). A TEST OF INDEPENDENCE BASED ON THE $(r,s)$-DIRECTED DIVERGENCE. Tamkang Journal of Mathematics, 23(2), 95–107. https://doi.org/10.5556/j.tkjm.23.1992.4532
Issue
Vol. 23 No. 2 (1992)
Section
Papers
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