A New Family of Estimators for Population Mean with Dual Use of the Auxiliary Information

Estimation of Finite Population Mean in Simple and Stratified Random Sampling by Utilizing the Auxiliary, Ranks, and Square of the Auxiliary Information

“…Mathematical Problems in Engineering e optimal values of κ 1 , κ 2 , κ 3 and κ 4 are found by minimizing equation (10) and are given as follows:…”

“…Under the motivation, [5] proceeded by formulating a generalized family of exponentbased estimators encompassing numerous existing main stream estimators as members of the resultant class. For a more elaborative understanding of the ongoing research activities, one may also see [6][7][8][9][10][11]. Recognizing the utility of accurate estimating procedures, this research urges the development of a new family of estimators estimating the population means through the employment of more meticulous use of an auxiliary variable.…”

Empirical distribution function based dual use of auxiliary information for the improved estimation of finite population mean

“…In adjacent past, yet another formation arguing dual use of auxiliary information was proposed by Hussain and Haq. 20 By creating a binary string of auxiliary variable with respect to various quantiles, they provided the general expression of their family such as:…”

“…The targets are achieved by injecting the supportive information through the exploitation of empirical distribution function of auxiliary variable along with its mean via exponential formation. The comparative performance of the newly developed mechanism is documented with respect to promising families of Grover and Kaur 9 estimators, Hussain and Haq 20 and most inspiringly Haq et al 10 promising proposition. The comparative performance of the contemporary techniques is enumerated with rigorous application to numerous data sets from statistics and allied research fields.…”

“…It is noteworthy that, to the best of our knowledge, till date Haq et al 10 suggestion of dual use through ranks produces most efficient results in existing literature. More recently, Hussain and Haq 20 devised another formation of duality relying on the dichotomy of auxiliary information with reference to various quantiles. However, the method was not compared with leading rank-driven approach of Haq et al 10 Motivated by the afore-mentioned proceedings, this research focuses on the development of new family of estimators based on dual use of auxiliary information.…”