Efficiency of Modified Exponential Dual to Ratio-Product-Cum Type Estimator under Stratified Sampling Using Two Auxiliary Variables

Haruna Suleiman, Jibrin Abdullahi Yafu, Audu Ahmed
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Abstract

Separate and Combined dual to ratio-product-cum estimators of the population mean under stratified random sampling scheme are suggested using the ideas and the analogy of (Walsh [1], Reddy [2], Tripathi [3]) and adopted strategy initiated by (Koyuncu and Kadilar [4], Singh et al., [5], Yasmeen et al., [6], Rather and Kadilar [7]) as well as the two auxiliaries variable. Asymptotic properties of proposed estimators such as BIASs, MSEs and MMSEs up to first order of approximation by Tailor series approach were deduced and reported. Performance is evaluated and examined with others related estimators considered using empirical study utilized two natural populations and simulated data sets. The statistical package R plus is used for computations. However, Results eventually indicated the superiority of proposed estimators over existing traditional estimators mentioned in studied.
使用两个辅助变量的分层抽样下修正指数双比乘积兼型估计器的效率
利用(Walsh [1]、Reddy [2]、Tripathi [3])的观点和类比,并采用(Koyuncu 和 Kadilar [4]、Singh 等人[5]、Yasmeen 等人[6]、Rather 和 Kadilar [7])提出的策略以及两个辅助变量,提出了分层随机抽样方案下人口平均值的独立和组合对偶比-乘积-估计器。推导并报告了所提估计器的渐近特性,如 BIAS、MSE 和 MMSE,直至用 Tailor 系列方法逼近的一阶。通过利用两个自然种群和模拟数据集进行实证研究,评估和检验了与其他相关估计器的性能。计算使用了 R plus 统计软件包。然而,结果最终表明,所提出的估计方法优于研究中提到的现有传统估计方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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