论文信息 - The l-divergence and the l-mutual information: estimation in the stratified sampling

The l-divergence and the l-mutual information: estimation in the stratified sampling

Abstract λ-divergence statistics are obtained by either replacing both distributions involved in the argument by their sample estimates or replacing one distribution and considering the other as given. Asymptotic properties of λ-divergence statistics are investigated in a stratified random sampling with proportional allocation and independence among strata. Test for goodness of fit, for homogeneity with a known distribution, for homogeneity of two parallel samples and for independence can be constructed on the basis of these results.

Leandro Pardo | Miquel Salicrú | María Luisa Menéndez | Domingo Morales

[1] C. E. SHANNON,et al. A mathematical theory of communication , 1948, MOCO.

[2] I. J. Taneja,et al. Some statistical inferences regarding population diversity in terms of the hypoentropy measure , 1991 .

[3] D. Lindley. On a Measure of the Information Provided by an Experiment , 1956 .

[4] T. Papaioannou,et al. Divergence statistics: sampling properties and multinomial goodness of fit and divergence tests , 1990 .

[5] Claude E. Shannon,et al. A Mathematical Theory of Communications , 1948 .

[6] Leandro Pardo Llorente,et al. An index of diversity in stratified random sampling based on the hypoentropy measure , 1990 .

[7] Z. A. Lomnicki,et al. The Asymptotic Distributions of Estimators of the Amount of Transmitted Information , 1959, Inf. Control..

[8] H. Heyer,et al. Information and Sufficiency , 1982 .

[9] María Ángeles Gil. A note on stratification and gain in precision in estimating diversity from large samples , 1989 .

[10] The variance and covariance of a generalized index of similarity especially for a generalizaition on an index of hellinger and bhattacharyya , 1985 .

[11] Iapan Kumar Nayak. On diversity measures based on entropy functions , 1985 .