Estimators based on sample quantiles using (h, φ)-entropy measures

Applied Mathematics Letters

Volumn 11, Issue 4, 1998, Pages 99-104

  Menendez M L ^a   Pardo, J A ^b   Pardo, M C ^b  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

(h, ) entropy; Goodness of fit; Maximum entropy principle; Point estimator

Indexed keywords

EID: 18544403089     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(98)00064-0     Document Type: Article

References (10)

1. M.L. Menéndez, D. Morales and L. Pardo, Maximum entropy principle and statistical inference on condensed ordered data, Statistics and Probability Letters (to appear).
2. E. Bofinger, Goodness of fit using sample quantiles, Journal of the Royal Statistical Society, Series B 35, 277-284, (1973).
3. T.R.C. Read and N.A.C. Cressie, Goodness of Fit Statistics for Discrete Multivariate Data, Springer-Verlag, (1988).
4. th Berkeley Symp. Math. Statist. and Prob., Volume 1, pp. 547-561, (1961).
5. J. Havrda and F. Charvat, Quantification of classification processes. Concept of structural α-entropy, Kybernetika 2, 30-55, (1967).
6. S. Arimoto, Information theoretical considerations on estimation problems, Information and Control 19, 181-194, (1971).
7. B.D. Sharma and D.P. Mittal, New nonadditive measures of entropy for discrete probability distributions, J. Math. Sci. 10, 28-40, (1977).
8. M. Salicrú, M.L. Menéndez, D. Morales and L. Pardo, Asymptotic distribution of (h, φ) entropies, Communications in Statistics; Theory and Methods 22 (7), 2015-2031, (1993).
9. L. Pardo, D. Morales, M. Salicrú and M.L. Menéndez, Large sample behavior of entropy measures when parameters are estimated, Communications in Statitstics; Theory and Methods 26 (2), 483-501, (1997).
10. M.L. Menéndez, D. Morales, L. Pardo and M. Salicrú, (h, φ)-entropy differential metric, Applications of Mathematics 42 (2), 81-98, (1997).