Open AccessA MATHEMATICAL PROGRAMMING APPROACH IN OPTIMUM STRATIFICATION UNDER NEYMAN ALLOCATION FOR TWO STRATIFYING VARIABLES
Author(s) -
Faizan Danish,
S. E. H. Rizvi,
Manish Sharma,
Sudhakar Dwivedi,
Bupesh Kumar,
Sanjeev Kumar
Publication year - 2019
Publication title -
journal of reliability and statistical studies
Language(s) - English
Resource type - Journals
eISSN - 2229-5666
pISSN - 0974-8024
DOI - 10.13052/jrss2229-5666.12213
Subject(s) - stratification (seeds) , variable (mathematics) , linear programming , mathematical optimization , mathematics , dynamic programming , computer science , statistics , mathematical analysis , germination , seed dormancy , dormancy , biology , botany
The current study discusses the solution for obtaining stratification points under Neyman allocation having one study variable and two auxiliary variables. Using dynamic programming approach non-linear programming problem has been solved. The proposed technique has gained in precision rather than using only one auxiliary variable. Numerical illustration has been given in which each of the auxiliary variable is supposed to follow different distribution. Through the empirical study, the proposed method has been compared with the Ravindra and Sukhatme (1969) and Khan et al.(2005) methods with the conclusion of having its more relative efficiency.
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