This is a preview of subscription content, log in via an institution to check access.
Literature cited
B. Harris, “Statistical inference in the classical occupancy problem unbiased estimation of the number of classes,” J. Am. Stat. Assoc.,63, 837–847 (1968).
D. Chapman, “Some properties of the hypergeometric distribution with application to zoological sample censuses,” Univ. Calif. Publ. Stat.,1, 131–160 (1951).
W. Feller, An Introduction to Probability Theory and Its Applications, Vol. I, 2nd ed., Wiley, New York (1965).
M. Driml and M. Ullrich, “Maximum likelihood estimate of the number of types,” Acta Tech., ČSAV,12, No. 3, 300–303 (1967).
G. I. Ivchenko and E. E. Timonina, “On the estimation in sampling from a finite population,” Mat. Zametki,28, No. 4, 623–633 (1980).
C. R. Rao, Linear Statistical Inference and Its Applications, Wiley, New York (1965).
V. F. Kolchin, B. A. Sevast'yanov, and V. P. Chistyakov, Random Allocations [in Russian], Nauka, Moscow (1976).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 31, No. 4, pp. 633–640, April, 1982.
Rights and permissions
About this article
Cite this article
Ivchenko, G.I., Timonina, E.E. Optimal estimation for a finite population of unknown size. Mathematical Notes of the Academy of Sciences of the USSR 31, 322–326 (1982). https://doi.org/10.1007/BF01138945
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01138945