On the asymptotic optimum allocation in estimating inequality from complete data

 Access to full text

 Full (PDF)

1. A. B. Atkinson, On the measurement of inequality, J. Econom. Theory 2 (1970), 131-143. (1970) MR0449508
2. P. Bickel, K. A. Doksum, Mathematical Statistics, Holden-Day, Inc., Oakland 1977. (1977) Zbl0403.62001MR0443141
3. Y. M. M. Bishop S. E. Fienberg, P.W. Holland, Discrete Multivariate Analysis: Theory and Practice, MIT Press, Cambridge 1975. (1975) MR0381130
4. F. Bourguignon, Decomposable income inequality measures, Econometrica 47 (1979), 901-920. (1979) Zbl0424.90013MR0537636
5. C. Caso, M.A. Gil, Estimating income inequality in the stratified sampling from complete data; Part 1: The unbiased estimation and applications, Kybernetika 25 (1989), 298-311. (1989) MR1015034
6. C. Caso, M.A. Gil, Estimating income inequality in the stratified sampling from complete data; Part 2: The asymptotic behaviour and the choice of sample size, Kybernetika 25 (1989), 312-319. (1989) MR1015035
7. F. A. Cowell, On the structure of additive inequality measures, Rev.of Econom.Stud. 47 (1980), 521-531. (1980) Zbl0437.90035
8. 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
9. 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
10. M.A. Gil, A note on the stratification and gain in precision in estimating diversity from large samples, Commun. Statist. - Theory and Methods 18 (1989), 1521-1526. (1989) MR1010120
11. M. A. Gil C. Caso, P. Gil, Estudio asintotico de una clase de indices de desigualdad muestrales, Trab. de Est. 4 (1989), 95-109. (1989) 
12. M.A. Gil R. Perez, P. Gil, A family of measures of uncertainty involving utilities: definitions, properties, applications and statistical inferences, Metrika 36 (1989), 129-147. (1989) MR1024002
13. I. Horowitz, Employment concentration in the common market: an entropy approach, J. Roy. Statist. Soc Ser. A 133 (1970), 463-679. (1970) 
14. C. R. Rao, Linear Statistical Inference and its Applications, Wiley, New York 1973. (1973) Zbl0256.62002MR0346957
15. A.F. Shorrocks, The class of additively decomposable inequality measures, Econometrica 48 (1980), 613-625. (1980) Zbl0435.90040MR0573315
16. H. Theil, Economics and Information Theory, North-Holand, Amsterdam 1967. (1967) 
17. 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) 
18. J. Zvárová, On asymptotic behaviour of a sample estimator of Rényi’s information of order $\alpha$, In: Trans. 6th Prague Conf. on Inf. Theory, Stat. Dec. Func, Rand. Proc, Academia Prague 1973, pp. 919-924. (1973) Zbl0299.94017MR0365800

1. María Del Carmen Pardo, Julio A. Pardo, Statistical applications of order $\alpha$-$\beta$ weighted information energy
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