An efficient estimator for population variance using parameters of an auxiliary variable

Generalized Variance Estimator using Auxiliary Information in the Presence and Absence of Measurement Error

“…[2][3][4] suggested exponential ratio-type, exponential product-type and generalized exponential estimators of population variance. [5] recommended ratio-cum-dual type estimator when the population parameters of auxiliary variable are known for the estimation of population variance. Recently, the problem of the variance estimation has discussed by various authors such as; [6] proposed population variance estimator using two auxiliary variable and generalized class of estimator under simple random sampling without replacement (SRSWOR).…”

“…[9] developed an estimator for population variance by introducing the linear combination of coefficient of kurtosis and decile mean of the auxiliary variable to achieve the efficiency of the proposed estimator. [5] concerned with the estimation of population variance of the study variable using tri-mean and third quartile of the auxiliary variable. [10] proposed a class of ratio estimators for the estimation of population variance of the study variable by using the coefficient of quartile deviation of auxiliary variable.…”

On enhanced estimation and monitoring of population variance using robust auxiliary parameters based estimators

“…Singh and Khalid 20 proposed effective estimation strategy and Singh and Khalid 21 proposed composite classes of estimators for variance under the situation of randomized non‐response. Bhat et al 22 introduced an enhanced estimation procedure for $$$ {S}_y^2 $$$ by using the known value of Downton's Method on $$$ X $$$ and Yadav et al 23 suggested new estimation technique for $$$ {S}_y^2 $$$ through the modified ratio estimator using known parameters of $$$ X $$$. Sanaullah et al 24 worked on improved estimation of $$$ {S}_y^2 $$$ through a hybrid class of estimators using auxiliary parameters.…”

An improved efficient class of estimators for the population variance

“…In addition to that, many researchers have used other parameters of the auxiliary variable such as population mean , coefficient of variation (), coefficient of kurtosis (), population correlation coefficient (), and so forth, in their estimators. Some well‐known references include Searls, 1 Sisodia and Dwivedi, 2 Upadhyaya and Singh, 3 Kadilar and Cingi, 4,5 Singh et al, 6 Shabbir and Gupta, 7 Khan and Shabbir, 8 Asghar et al, 9 Asghar et al, 10 Yadav et al, 11 Sanaullah et al, 12 Adichwal et al, 13 Muneer et al, 14 Shahzad et al, 15 Maji et al, 16 and Singh and Khalid 17 …”