In this paper we consider three well-known procedures of unequal probability sampling without replacement. Using an asymptotic approach, Hartley and Rao [3] have obtained compact expressions for ...
The problem of estimating the variance of the ratio estimator in sampling with probability proportional to aggregate size is investigated. The form of nonnegative unbiased variance estimators is found ...
Example 1: The population from which samples are selected is {1,2,3,4,5,6}. This population has a mean of 3.5 and a standard deviation of 1.70783. The next display shows a histogram of the population.