An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities
Hanif, M. (1972). An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities. EKB Journal Management System, 16(2), 183-188. doi: 10.21608/esju.1972.315779
Muhammad Hanif. "An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities". EKB Journal Management System, 16, 2, 1972, 183-188. doi: 10.21608/esju.1972.315779
Hanif, M. (1972). 'An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities', EKB Journal Management System, 16(2), pp. 183-188. doi: 10.21608/esju.1972.315779
Hanif, M. An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities. EKB Journal Management System, 1972; 16(2): 183-188. doi: 10.21608/esju.1972.315779

An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities

The Egyptian Statistical Journal
Article 1, Volume 16, Issue 2, December 1972, Page 183-188  XML
Document Type: Original Article
DOI: 10.21608/esju.1972.315779
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Author
Muhammad Hanif
Abstract
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.
Keywords
Asymptotic Formulae; The Variance of the Horvitz and Thompson Estimator; A Linear Stochastic Model
Statistics
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