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Theory and Method

Expectation and Estimation of Product Moments in Sampling from a Finite Population

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Pages 431-437 | Received 01 Jun 1976, Published online: 12 Mar 2012

References

  • Carver , H. C. 1930 . “Fundamentals of the Theory of Sampling,” . Annals of Mathematical Statistics , 1 : 101 – 121 . 260–274
  • Dwyer , Paul S. 1938 . “Combined Expansions of Products of Symmetric Power Sums and Sums of Symmetric Power Products With Application to Sampling,” . Annals of Mathematical Statistics , 9 : 1 – 47 . 97–132
  • Dwyer , Paul S. 1972 . “Moment Functions of Sample Moment Functions,” . In Symmetric Functions in Statistics , Edited by: Tracy , Derrick S. 11 – 51 . Windsor , Ontario : University of Windsor .
  • Dwyer , P. S. , Mikhail , N. N. and Tracy , D. S. 1978 . “A Concise Proof of a Theorem on Products of Power Sums,” . Canadian Journal of Statistics , 6 : 11 – 17 .
  • Nath , S. N. 1968 . “On Product Moments From a Finite Universe,” . Journal of the American Statistical Association , 63 : 535 – 541 .
  • Nath , S. N. 1969 . “More Results on Product Moments From a Finite Universe,” . Journal of the American Statistical Association , 64 : 864 – 869 .
  • O'Toole , A. L. 1931 . “On Symmetric Functions and Symmetric Functions of Symmetric Functions,” . Annals of Mathematical Statistics , 2 : 101 – 149 .
  • Raghunandanan , K. and Srinivasan , R. 1973 . “Some Product Moments Useful in Sampling Theory,” . Journal of the American Statistical Association , 68 : 409 – 413 .
  • Skellam , J. G. 1949 . “The Distribution of Moment Statistics of Samples Drawn Without Replacement From a Finite Population,” . Journal of the Royal Statistical Society , 11 : 291 – 296 . Ser. B
  • Tracy , D. S. and Dwyer , P. S. 1973 . “Partitional Functions of Sample Partitional Functions,” , University of California, Riverside, Dept. of Statistics . Technical Report No. 17

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