Previous |  Up |  Next

Article

References:
[1] F. Bourguignon: Decomposable income inequality measures. Econometrica 47 (1979), 901-920. MR 0537636 | Zbl 0424.90013
[2] C. Caso, M. A. Gil: Estimating income inequality in the stratified sampling from complete data. Part I: The unbiased estimation and applications. Kybernetika 25 (1989), 4, 298-311. MR 1015034
[3] F. A. Cowell: On the structure of additive inequality measures. Rev. Econom. Stud. 47 (1980), 521-531. Zbl 0437.90035
[4] F. A. Cowell, K. Kuga: Additivity and the entropy concept. An axiomatic approach to inequality measurement. J. Econom. Theory 25 (1981), 131-143. MR 0636017 | Zbl 0487.90039
[5] W. Eichhorn, W. Gehrig: Measurement of inequality in economics. In: Modern Applied Mathematics -- Optimization and Operations Research (B. Korte, ed.), North-Holland, Amsterdam 1982. Zbl 0491.90024
[6] M. A. Gil, C Caso: A note on the estimation of the mutual information in the stratified sampling. Metron 45 (1987), 1-2, 295-301. MR 0937435 | Zbl 0718.62022
[7] M. A. Gil, C Caso: The choice of sample size in estimating entropy according to a stratified sampling. In: Uncertainty and Intelligent Systems. Proc. IPMU Conf. Urbino (Lecture Notes in Computer Science 313), Springer-Verlag, Berlin 1988. MR 1014060
[8] M. A. Gil M. J. Fernández, I. Martínez: The choice of the sample size in estimating the mutual information. Appl. Math. Comp. (1988) (accepted for publication). MR 0955524
[9] M. A. Gil R. Pérez, P. Gil: The mutual information. Estimation in the sampling without replacement. Kybernetika 23 (1987), 5, 406-419. MR 0915692
[10] M. A. Gil R. Pérez, I. Martínez: The mutual information. Estimation in the sampling with replacement. R.A.I.R.O. -- Rech. Opér. 20 (1986), 3, 257-268. MR 0872643
[11] Z. Lomnicki, S. Zaremba: The asymptotic distributions of estimators of the amount of transmitted information. Inform, and Control 2 (1959), 260-284. MR 0109758 | Zbl 0094.31902
[12] T. K. Nayak: On diversity measures based on entropy functions. Commun. Statist. -- Theor. Meth. 14 (1985), 1, 203-215. MR 0788794 | Zbl 0561.62004
[13] A. F. Shorrocks: The class of additively decomposable inequality measures. Econometrica 48 (1980), 613-625. MR 0573315 | Zbl 0435.90040
[14] D. Zagier: On the decomposability of the Gini coefficient and other indices of inequality. Discussion paper No. 108. Projektgruppe Theoretische Modelle. Universität Bonn, 1983.
[15] J. Zvárová: On asymptotic behaviour of a sample estimator of Renyi's information of order $\alpha$. In: Trans. Sixth Prague Conf. on Inform. Theory, Statist. Dec. Functions Random Processes. Academia, Prague 1973, pp. 919-924. MR 0365800 | Zbl 0299.94017
Partner of
EuDML logo