Accuracy of Proportion Estimators: a Simple Rule.
El problema de la afijación de los tamaños de muestra en estratos es abordado. Los sistemas de probabilidades desiguales se basan en una variable auxiliar Xt. La existencia de un modelo superpoblacional permite el desarrollo de criterios de afijación óptima. Las propiedades de los tamaños de muestra obtenidos son similares a los clásicos.
In this paper we have suggested almost unbiased ratio-type and product-type estimators for estimating the population mean Y of the study variate y using information on an auxiliary variate x in systematic sampling. The variance expressions of the suggested estimators have been obtained and compared with usual unbiased estimator y*, Swain's (1964) ratio estimator y*R and Shukla's product estimator y*p. It has been shown that the proposed estimators are more efficient than usual unbiased estimator...
The variance of the number of lattice points inside the dilated bounded set with random position in has asymptotics if the rotational average of the squared modulus of the Fourier transform of the set is . The asymptotics follow from Wiener’s Tauberian theorem.