Neutrosophic robust ratio type estimator for estimating finite population mean

Heliyon. 2024 Apr 2;10(8):e28934. doi: 10.1016/j.heliyon.2024.e28934. eCollection 2024 Apr 30.

Abstract

Various authors have put their sincere efforts into proposing ratio estimators for estimating the population's mean and variance under different situations and sampling methods. But the problem arises when data is unstable, imprecise, ambiguous, incomplete and vague. In such situations, classical methods of estimation do not yield precise results, as these methods are not meant for such problems. Given this difficulty, Neutrosophic statistics are the only alternative as it deals with indeterminacy. So in this study, we have proposed a generalized Neutrosophic robust ratio type estimator which can be used to provide good results in such situations, as well as in the case of the presence of outliers. For the evaluation point of view, we have made use of real data set and simulation study to check the efficacy of our suggested estimators over the mentioned existed estimators.

Keywords: Efficiency; MSE; Neutrosophic data; Neutrosophic product estimator; Neutrosophic ratio estimator; Outliers.