A Class of Ratio‐Cum‐Product‐Type Estimator

Abstract

The problem of estimating the population mean using an auxiliary informetion has been dealt with in literature quite extensively. Ratio, product, linear regremion and ratio-type eetimators are well known. A o l w of ratio-cum-product-type estimator is proposed in this paper. Its bias and variance to the first order of approximation are obtained. For an appropriate weight 'a' and good range of a-valuea, i t is found that the proposed eetimator is superior than a set of estimators (i.e.. sample mean, usual ratio and product estimators, SBIVASTAVA'S (1967) estimator, CH~KSABARTY'S (1979) estimator and a product-type estimator) which are, in feet, the particular cases of it. A t optimum value of a, the proposed estimator is as efficient as linear regreasion estimator.

Optimum Separate Ratio -Type Exponential Estimator for Computation of Population Mean in Stratified Random Sampling

“…A ratio-type estimator was defined in [5] utilising the coefficient of variation of the supplementary variate x as (3) Kadilar and Cingi, in [8] proposed a separate ratio-type estimator based on the coefficient of variation C xh of the supplementary variate in the h th stratum, as inspired by [5].…”

“…The estimated population mean of a study variate using the coefficient of variation of a supplementary variate [4]. In [5] it is employed a coefficient of variation of a supplementary variate, based on the work of [4]. Whereas in [7] they are used both coefficients used both the coefficients of variation and the auxiliary variate kurtosis.…”

On the Development of Ratio Type Estimators Using Auxiliary Information

“…Sisodia and Dwivedi [7] improved the classical ratio estimator by adding the coefficient of variation  …”

A Family of Ratio Estimators in Stratified Random Sampling Utilizing Auxiliary Attribute Along Side the Nonresponse Issue

“…After that Koyuncu and Kadilar [10] extended the idea of Diana [2]. Sisodia and Dwivedi [11] introduced a ratio estimator by using coefficient of variation of an auxiliary variable. Singh and Kakran [12] proposed another ratio estimator by using known coefficient of kurtosis of an auxiliary variable.…”