An Empirical Study of Stabilities of Estimators and Variance Estimators in Unequal Probability Sampling (n = 3 or 4)

References

• Bayless , D. L. 1968 . “Variance Estimation in Sampling from Finite Populations,” , Texas A&M University . Unpublished Ph.D. thesis
   Google Scholar
• Brewer , K. W. and Hanif , M. 1969 . “Sampling Without Emplacement with Probability of Inclusion Proportional to Size, I: Methods Using the Horvitz and Thompson Estimator,” manuscript seen by courtesy of the editors
   Google Scholar
• Carroll , J. L. and Hartley , H. O. 1964 . “The Symmetric Method of Unequal Probability Sampling Without Replacement,” 908 – 9 . Unpublished to date, abstract in Biometrics, 20
   Google Scholar
• Cochran , W. G. 1963 . Sampling Techniques, , 2nd ed. , New York : John Wiley and Sons .
   Google Scholar
• Raj , Des . 1956 . “Some Estimators in Sampling with Varying Probabilities Without Replacement,” . Journal of the American Statistical Association , 51 : 269 – 84 .
   Web of Science ®Google Scholar
• Raj , Des . 1965 . “Variance Estimation in Randomized Systematic Sampling with Probability Proportional to Size,” . Journal of the American Statistical Association , 60 : 278 – 84 .
   Google Scholar
• Fellegi , I. P. 1963 . “Sampling with Varying Probabilities Without Replacement: Rotating and Non-rotating Samples,” . Journal of the American Statistical Association , 58 : 183 – 201 .
   Web of Science ®Google Scholar
• Hanurav , T. V. 1966 . “An Optimum πps Sampling Without Replacement,” . Annals of Mathematical Statistics (Abstract) , 37 : 1859
   Google Scholar
• Hanurav , T. V. 1967 . “Optimum Utilization of Auxiliary Information: π ps Sampling to Two Units from a Stratum,” . Journal of the Royal Statistical Society, Series B , 29 : 374 – 91 .
   Google Scholar
• Horvitz , D. G. and Thompson , D. J. 1952 . “A Generalization of Sampling Without Replacement from a Finite Universe,” . Journal of the American Statistical Association , 47 : 663 – 85 .
   Web of Science ®Google Scholar
• Kish , L. 1965 . Survey Sampling , New York : John Wiley and Sons .
   Google Scholar
• Lahiri , D. B. 1951 . “A Method for Sample Selection Providing Unbiased Ratio Estimates,” . International Statistical Institute Bulletin , 33 ( 2 ) : 133 – 40 .
   Google Scholar
• Murthy , M. N. 1957 . “Ordered and Unordered Estimators in Sampling Without Replacement,” . Sankhyā , 18 : 379 – 90 .
   Google Scholar
• Pathak , P. K. 1967a . “Asymptotic Efficiency of Des Raj's Strategy, I,” . Sankhyā, Series A , 29 : 283 – 98 .
   Google Scholar
• Pathak , P. K. 1967b . “Asymptotic Efficiency of the Symmetrized Des Raj Strategy, II,” . Sankhyā, Series A , 29 : 299 – 304 .
   Google Scholar
• Rao , J. N. K. , Hartley , H. O. and Cochran . 1962 . “On a Simple Procedure of Unequal Probability Sampling Without Replacement,” . Journal of the Royal Statistical Society, Series B , 27 : 482 – 91 .
   Google Scholar
• Rao , J. N. K. 1963 . “On Three Procedures of Unequal Probability Sampling Without Replacement,” . Journal of the American Statistical Association , 58 : 202 – 15 .
   Web of Science ®Google Scholar
• Bayless , D. L. 1969 . “An Empirical Study of the Stabilities of Estimators and Variance Estimators in Unequal Probability Sampling of Two Units Per Stratum,” . Journal of the American Statistical Association , 64 : 540 – 59 .
   Google Scholar
• Sampford , M. R. 1962 . An Introduction to Sampling Theory , Edinburgh and London : Oliver and Boyd Ltd. .
   Google Scholar
• Sampford , M. R. 1967 . “On Sampling Without Replacement with Unequal Probabilities of Selection,” . Biometrika , 54 : 499 – 513 .
   PubMed Web of Science ®Google Scholar
• Sen , A. R. 1953 . “On the Estimate of the Variance in Sampling with Varying Probabilities,” . Journal of the Indian Society of Agricultural Statistics , 5 : 119 – 27 .
   Google Scholar
• Sukhatme , P. V. 1954 . Sampling Theory of Surveys with Applications , Ames , Iowa : Iowa State College Press .
   Google Scholar
• Yates , F. and Grundy , P. M. 1953 . “Selection Without Replacement from Within Strata with Probability Proportional to Size,” . Journal of the Royal Statistical Society, Series B , 15 : 253 – 61 .
   Google Scholar
• Yates , F. 1960 . Sampling Methods for Censuses and Surveys, , 3rd ed. , London : Charles Griffin and Co. .
   Google Scholar
• Vijayan , K. 1968 . “An Exact πps Sampling Scheme–Generalization of a Method of Hanurav,” . Journal of the Royal Statistical Society, Series B , 30 : 556 – 66 .
   Google Scholar