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ON SOME PRODUCT TYPE ESTIMATORS IN VARYING PROBABILITY 1
Author(s) -
Gupta P. C.
Publication year - 1972
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1972.tb00349.x
Subject(s) - estimator , product (mathematics) , variance (accounting) , mathematics , statistics , sample (material) , product type , computer science , physics , thermodynamics , geometry , accounting , programming language , business
SUMMARY It is shown that varying probability in product method estimation increases the efficiency of estimate under some usual conditions. Further, a necessary condition, for the product estimate from a sample drawn with pps and without replacement to be more efficient than the product estimate from a sample drawn with pps and replacement, has been obtained; incidentally, it is the same as obtained by Narain (1951) for varying probability without replacement to be more efficient than varying probability with replacement. The use of the R.H.C. sampling scheme has also been suggested, and its variance and bias has been shown to be always less than that of pps with replacement.