Estimating income inequality in the stratified sampling from complete data. II. The asymptotic behaviour and the choice of sample size
Kybernetika, Tome 25 (1989) no. 4, pp. 312-319 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 62D05, 62P20, 90A19
@article{KYB_1989_25_4_a5,
     author = {Caso, Covadonga and Gil, Mar{\'\i}a Angeles},
     title = {Estimating income inequality in the stratified sampling from complete data. {II.} {The} asymptotic behaviour and the choice of sample size},
     journal = {Kybernetika},
     pages = {312--319},
     year = {1989},
     volume = {25},
     number = {4},
     mrnumber = {1015035},
     zbl = {0682.62087},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1989_25_4_a5/}
}
TY  - JOUR
AU  - Caso, Covadonga
AU  - Gil, María Angeles
TI  - Estimating income inequality in the stratified sampling from complete data. II. The asymptotic behaviour and the choice of sample size
JO  - Kybernetika
PY  - 1989
SP  - 312
EP  - 319
VL  - 25
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KYB_1989_25_4_a5/
LA  - en
ID  - KYB_1989_25_4_a5
ER  - 
%0 Journal Article
%A Caso, Covadonga
%A Gil, María Angeles
%T Estimating income inequality in the stratified sampling from complete data. II. The asymptotic behaviour and the choice of sample size
%J Kybernetika
%D 1989
%P 312-319
%V 25
%N 4
%U http://geodesic.mathdoc.fr/item/KYB_1989_25_4_a5/
%G en
%F KYB_1989_25_4_a5
Caso, Covadonga; Gil, María Angeles. Estimating income inequality in the stratified sampling from complete data. II. The asymptotic behaviour and the choice of sample size. Kybernetika, Tome 25 (1989) no. 4, pp. 312-319. http://geodesic.mathdoc.fr/item/KYB_1989_25_4_a5/

[1] F. Bourguignon: Decomposable income inequality measures. Econometrica 47 (1979), 901-920. | MR | Zbl

[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

[3] F. A. Cowell: On the structure of additive inequality measures. Rev. Econom. Stud. 47 (1980), 521-531. | Zbl

[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 | Zbl

[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

[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 | Zbl

[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

[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

[9] M. A. Gil R. Pérez, P. Gil: The mutual information. Estimation in the sampling without replacement. Kybernetika 23 (1987), 5, 406-419. | MR

[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

[11] Z. Lomnicki, S. Zaremba: The asymptotic distributions of estimators of the amount of transmitted information. Inform, and Control 2 (1959), 260-284. | MR | Zbl

[12] T. K. Nayak: On diversity measures based on entropy functions. Commun. Statist. -- Theor. Meth. 14 (1985), 1, 203-215. | MR | Zbl

[13] A. F. Shorrocks: The class of additively decomposable inequality measures. Econometrica 48 (1980), 613-625. | MR | Zbl

[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 | Zbl