| Title:
|
Estimating income inequality in the stratified sampling from complete data. II. The asymptotic behaviour and the choice of sample size (English) |
| Author:
|
Caso, Covadonga |
| Author:
|
Gil, María Angeles |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
25 |
| Issue:
|
4 |
| Year:
|
1989 |
| Pages:
|
312-319 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62D05 |
| MSC:
|
62P20 |
| MSC:
|
90A19 |
| idZBL:
|
Zbl 0682.62087 |
| idMR:
|
MR1015035 |
| . |
| Date available:
|
2009-09-24T18:12:45Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125822 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/125828 |
| . |
| Reference:
|
[1] F. Bourguignon: Decomposable income inequality measures.Econometrica 47 (1979), 901-920. Zbl 0424.90013, MR 0537636 |
| Reference:
|
[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 |
| Reference:
|
[3] F. A. Cowell: On the structure of additive inequality measures.Rev. Econom. Stud. 47 (1980), 521-531. Zbl 0437.90035 |
| Reference:
|
[4] F. A. Cowell, K. Kuga: Additivity and the entropy concept. An axiomatic approach to inequality measurement.J. Econom. Theory 25 (1981), 131-143. Zbl 0487.90039, MR 0636017 |
| Reference:
|
[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 |
| Reference:
|
[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. Zbl 0718.62022, MR 0937435 |
| Reference:
|
[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 |
| Reference:
|
[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 |
| Reference:
|
[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 |
| Reference:
|
[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 |
| Reference:
|
[11] Z. Lomnicki, S. Zaremba: The asymptotic distributions of estimators of the amount of transmitted information.Inform, and Control 2 (1959), 260-284. Zbl 0094.31902, MR 0109758 |
| Reference:
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[12] T. K. Nayak: On diversity measures based on entropy functions.Commun. Statist. -- Theor. Meth. 14 (1985), 1, 203-215. Zbl 0561.62004, MR 0788794 |
| Reference:
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[13] A. F. Shorrocks: The class of additively decomposable inequality measures.Econometrica 48 (1980), 613-625. Zbl 0435.90040, MR 0573315 |
| Reference:
|
[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. |
| Reference:
|
[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. Zbl 0299.94017, MR 0365800 |
| . |
