An Asymptotic Variance Formula for Sampling Without Replacement with Unequal Probabilities | ||
| The Egyptian Statistical Journal | ||
| Article 1, Volume 16, Issue 2, December 1972, Pages 183-188 | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1972.315779 | ||
| 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 | ||
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