A New Family of Exponential Type Estimators in the Presence of Non-Response

IF 0.5 Q4 MULTIDISCIPLINARY SCIENCES

Journal of Mathematical and Fundamental Sciences Pub Date : 2021-05-07 DOI:10.5614/J.MATH.FUND.SCI.2021.53.1.1

Ceren Ünal, C. Kadilar

引用次数: 2

Abstract

We propose families of estimators for the population mean using an exponential function in case of non-response. This situation is examined under two cases, Case I and II. The bias, MSE and minimum MSE are separately obtained for both cases. We compare the proposed estimators theoretically with the main estimators from the literature, such as Hansen and Hurwitz (1946), ratio, regression and exponential estimators. The conditions for which the proposed estimators are most efficient are obtained. Moreover, different empirical studies are conducted to support the theoretical results for both cases.

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无响应存在下一类新的指数型估计量

在无响应的情况下，我们提出了使用指数函数的总体均值估计族。这种情况在情况一和情况二两种情况下加以审查。分别得到了两种情况下的偏置、均方差和最小均方差。我们从理论上比较了提出的估计量与文献中的主要估计量，如Hansen和Hurwitz(1946)，比率，回归和指数估计量。得到了所提估计最有效的条件。此外，本文还进行了不同的实证研究来支持这两种情况的理论结果。

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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来源期刊

Journal of Mathematical and Fundamental Sciences MULTIDISCIPLINARY SCIENCES-

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health Sciences, Medical Sciences, Pharmacy), Mathematics, Physics, and Statistics. New submissions of mathematics articles starting in January 2020 are required to focus on applied mathematics with real relevance to the field of natural sciences. Authors are invited to submit articles that have not been published previously and are not under consideration elsewhere.