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Some results concerning Horvitz-Thompson’s \(T_1\)-class of estimators. (English) Zbl 0344.62008
MSC:
62D05 Sampling theory, sample surveys
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References:
[1] Ajgaonkar, S.G.P.: On a class of linear estimators in sampling with varying probabilities without replacement. Jour. Amer. Stat. Assoc.,60, 637–642, 1965.
[2] –: OnHorvitz andThompson’s T 1-class of linear estimators. Ann. Math. Stat.38, 1882–1886, 1967a. · Zbl 0161.37905
[3] –: A note onHorvitz andThompson’s T 1-class of linear estimators. Metrika,11, 16–21, 1967b. · Zbl 0173.20503
[4] –: OnHorvitz andThompson’s T 1-class of linear estimators for Midzuno’s (Ikeda’s generalized) sampling procedure. Statistica Neerlandica,21, 31–38, 1967c. · Zbl 0168.17505
[5] –: On unordering best estimator inHorvitz andThompson’s T 1-class of linear estimators. Sankhya, Ser. B,29, 209–212, 1967d.
[6] –: On the non-existence of best estimator for the entire class of linear estimators. Sankhya, Ser. A,31, 455–462, 1969. · Zbl 0198.23403
[7] Chaudhuri, A.: Some sampling schemes to useHorvitz-Thompson estimator in estimating a finite population total. Cal. Stat. Assoc. Bull.,20, 37–66, 1971. · Zbl 0304.62003
[8] Chaudhuri, A.: Admissibility of some estimators of finite-population parameters (submitted to Sankhya), 1973.
[9] Horvitz, D.G., andD.J. Thompson: A generalization of sampling without replacement from a finite universe. Jour. Amer. Stat. Assoc.,47, 663–685, 1952. · Zbl 0047.38301
[10] Murthy, M.N.: Ordered and unordered estimators in sampling without replacement. Sankhya,18, 379–390, 1957. · Zbl 0081.36005
[11] Yates, F., andP.M. Grundy: Selection without replacement from within strata with probability proportional to size. J. Roy. Stat. Soc. (Ser. B),15, 253–261, 1953. · Zbl 0052.15301
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