Asymptotic formulae for the variance of the Horvitz and Thompson Estimator for sampling with unequal probabilities without replacement have e inter previously been derived for a number of particular sampling procedures. To order N¹ these asymptotic formulae are identical. In this paper the asymptotic formula to order N is established, under a linear stochastic model, for the general class of sampling procedures in which the number of sample units is fixed and sampling is strictly without replacement.
Hanif, M. (1972). An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities. The Egyptian Statistical Journal, 16(2), 183-188. doi: 10.21608/esju.1972.315779
MLA
Muhammad Hanif. "An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities", The Egyptian Statistical Journal, 16, 2, 1972, 183-188. doi: 10.21608/esju.1972.315779
HARVARD
Hanif, M. (1972). 'An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities', The Egyptian Statistical Journal, 16(2), pp. 183-188. doi: 10.21608/esju.1972.315779
VANCOUVER
Hanif, M. An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities. The Egyptian Statistical Journal, 1972; 16(2): 183-188. doi: 10.21608/esju.1972.315779