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

Covadonga Caso; María Angeles Gil

Kybernetika (1989)

  • Volume: 25, Issue: 4, page 312-319
  • ISSN: 0023-5954

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Caso, Covadonga, and Gil, María Angeles. "Estimating income inequality in the stratified sampling from complete data. II. The asymptotic behaviour and the choice of sample size." Kybernetika 25.4 (1989): 312-319. <http://eudml.org/doc/28976>.

@article{Caso1989,
author = {Caso, Covadonga, Gil, María Angeles},
journal = {Kybernetika},
keywords = {asymptotic distribution of sample income inequality index},
language = {eng},
number = {4},
pages = {312-319},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Estimating income inequality in the stratified sampling from complete data. II. The asymptotic behaviour and the choice of sample size},
url = {http://eudml.org/doc/28976},
volume = {25},
year = {1989},
}

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
PB - Institute of Information Theory and Automation AS CR
VL - 25
IS - 4
SP - 312
EP - 319
LA - eng
KW - asymptotic distribution of sample income inequality index
UR - http://eudml.org/doc/28976
ER -

References

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  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 α , In: Trans. Sixth Prague Conf. on Inform. Theory, Statist. Dec. Functions Random Processes. Academia, Prague 1973, pp. 919-924. (1973) Zbl0299.94017MR0365800

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