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Minimum variance unbiased estimation of left truncated multivariate power series distributions. (English) Zbl 0391.62021


MSC:

62F10 Point estimation
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References:

[1] Ahuja, J.C.: Recurrence relation for minimum, variance unbiased estimation of certain left truncated Poisson distribution. J. Roy Stat. Soc. Series C21, 1972, 81–86.
[2] Cacoullos, T., andC.H. Charalambides: On minimum variance unbiased estimation for truncated binomial and negative binomial distributions. Ann of the Inst. of Stat. Math.27, 1975, 235–244. · Zbl 0351.62017 · doi:10.1007/BF02504642
[3] Charalambides, C.H. Minimum variance unbiased estimation for a class of left truncated discrete distributions. Sankhya, series A36, 1974, 397–418. · Zbl 0312.62027
[4] Fraser, D.A.S.: Sufficient statistics and selection depending on the parameter. Ann. Math. Stat.23, 1952, 417–425. · Zbl 0047.13303 · doi:10.1214/aoms/1177729386
[5] Joshi, S.W., andC.J. Park: Minimum variance unbiased estimation for truncated power series distributions, Sankhya, series A36, 1974, 305–314. · Zbl 0398.62019
[6] Patil, G.P.: Minimum variance unbiased estimation and certain problems of additive number theory Ann. Math. Stat.34, 1963, 1050–1056. · Zbl 0116.37203 · doi:10.1214/aoms/1177704029
[7] Patil, G.P.: On the multivariate generalised power series distribution and its application to the multinomial and negative multinomial. Classical and contagions discrete distributions. Calcutta 1965, 183–194.
[8] Tate, R.F., andR.L. Goen: Minimum variance unbiased estimation for the truncated poisson distribution, Ann. Math. Stat.29, 1958, 755–765. · Zbl 0086.35404 · doi:10.1214/aoms/1177706534
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