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A note on Horvitz’s and Thompson’s \(T_ 3\) class of linear estimators. (English) Zbl 0173.20503


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[1] Godambe, V. P., (1955): A unified theory of sampling from finite populations. J. Roy. Stat. Soc. Ser. B17, 269–278. · Zbl 0067.11406
[2] Horvitz, D. G. andD. J. Thompson, (1952): A generalization of sampling without replacement from a finite universe. J. Amer. Stat. Ass.47, 663–685. · Zbl 0047.38301 · doi:10.2307/2280784
[3] Koop, J. C., (1957): Contributions to the general theory of sampling finite populations without replacement and with unequal probabilities. Ph.D. thesis. N. Carolina State College Library, Raleigh. [Institute of Statistics, Mimco Series No. 296 (1961).] · Zbl 0087.16003
[4] Koop, J. C., (1963): On the axioms of sample formation and their bearing on the construction of linear estimators in sampling theory for finite populations, Part I, II and III. Metrika7, 81–114 and 165–204. · Zbl 0114.10201 · doi:10.1007/BF02613965
[5] Murthy, M. N., (1957): Ordered and unordered estimators in sampling without replacement. Sankhya18, 379–390. · Zbl 0081.36005
[6] Prabhu Ajgaonkar, S. G., (1962): Some aspects of successive sampling. Ph.D. thesis submitted to Karnatak University, Dharwar, India.
[7] Prabhu Ajgaonkar, S. G., (1965): On a class of linear estimators in sampling with varying probabilities without replacement from a finite population. J. Amer. Stat. Ass.60, 637–642. · doi:10.2307/2282697
[8] Prabhu Ajgaonkar, S. G.: OnHorvitz andThompson’sT 1-class of linear estimators. A paper accepted for publication in Ann. Math. Stat.
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