Title: Construction of optimum strata boundaries using dynamic programming with product estimator under super population model

Authors: Faizan Danish; Rafia Jan

Addresses: Department of Mathematics, School of Advanced Sciences, VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP, India ' Government Degree College, Bejbehara, Anathnag, J&K, India

Abstract: In the current era, data on study variable is rarely available that leads us to utilise the auxiliary variable for the stratification purpose. In this investigation, we developed a methodology under super population model for finding optimum strata boundaries (OSBs) on highly related variable and variable under consideration which is applicable for the situation having more than one study variables. Under some assumption, we got equations while minimising the general variance that for the complex nature of the study. Under this complex nature, we utilised the dynamic programming technique to find the OSB for different frequency distributions for the auxiliary variable. The empirical study has shown remarkable gain in the precision by using different distribution functions.

Keywords: dynamic programming; super population; optimum strata boundaries; OSBs.

DOI: 10.1504/IJMMNO.2023.132300

International Journal of Mathematical Modelling and Numerical Optimisation, 2023 Vol.13 No.3, pp.297 - 312

Received: 25 Nov 2022
Accepted: 30 Mar 2023
Published online: 17 Jul 2023 *

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