Estimating income inequality in the stratified sampling from complete data. II. The asymptotic behaviour and the choice of sample size

 Access to full text

 Full (PDF)

1. F. Bourguignon, Decomposable income inequality measures, Econometrica 47 (1979), 901-920. (1979) Zbl0424.90013MR0537636
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. (1989) MR1015034
3. F. A. Cowell, On the structure of additive inequality measures, Rev. Econom. Stud. 47 (1980), 521-531. (1980) Zbl0437.90035
4. F. A. Cowell, K. Kuga, Additivity and the entropy concept. An axiomatic approach to inequality measurement, J. Econom. Theory 25 (1981), 131-143. (1981) Zbl0487.90039MR0636017
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. (1982) Zbl0491.90024
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. (1987) Zbl0718.62022MR0937435
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. (1988) MR1014060
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). (1988) MR0955524
9. M. A. Gil R. Pérez, P. Gil, The mutual information. Estimation in the sampling without replacement, Kybernetika 23 (1987), 5, 406-419. (1987) MR0915692
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. (1986) MR0872643
11. Z. Lomnicki, S. Zaremba, The asymptotic distributions of estimators of the amount of transmitted information, Inform, and Control 2 (1959), 260-284. (1959) Zbl0094.31902MR0109758
12. T. K. Nayak, On diversity measures based on entropy functions, Commun. Statist. -- Theor. Meth. 14 (1985), 1, 203-215. (1985) Zbl0561.62004MR0788794
13. A. F. Shorrocks, The class of additively decomposable inequality measures, Econometrica 48 (1980), 613-625. (1980) Zbl0435.90040MR0573315
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. (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. (1973) Zbl0299.94017MR0365800

1. María Angeles Gil, Ignacio Martínez, On the asymptotic optimum allocation in estimating inequality from complete data
2. Hortensia López-García, María Angeles Gil, Norberto Corral, María Teresa López, Estimating the fuzzy inequality associated with a fuzzy random variable in random samplings from finite populations