Title: Approximately optimum strata boundaries under super population model

Authors: Faizan Danish; S.E.H. Rizvi

Addresses: Department of Mathematics, School of Advanced Sciences, VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP, India; Division of Statistics and Computer Science, Faculty of Basic Sciences, Sher-e-Kashmir University of Agricultural Sciences and Technology of Jammu, J&K, India ' Department of Mathematics, School of Advanced Sciences, VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP, India; Division of Statistics and Computer Science, Faculty of Basic Sciences, Sher-e-Kashmir University of Agricultural Sciences and Technology of Jammu, J&K, India

Abstract: In the present investigation, a methodology has been developed under super population model for obtaining approximately optimum strata boundaries (AOSB) on highly related variable with the variable under consideration which is applicable for the situation having more than one study variables with product estimator. Minimal equations have been obtained under certain assumptions by minimising the generalised variance expressions. Under this complex nature we developed Cum³√R₅(x) rule for obtaining the AOSB. Empirical studies have also been made on certain density functions, which showed remarkable gain in precision.

Keywords: product estimator; super population; optimum strata boundaries; optimum stratification.

DOI: 10.1504/IJMOR.2024.136861

International Journal of Mathematics in Operational Research, 2024 Vol.27 No.1, pp.63 - 74

Received: 24 Aug 2022
Accepted: 06 Nov 2022
Published online: 23 Feb 2024 *