Author/Authors :
Parchami, A. Department of Statistics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman, Kerman, Iran , Taheri, S.M. School of Engineering Science - College of Engineering - University of Tehran, Tehran, Iran , Falsafain, A. Department of Statistics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman, Kerman, Iran , Mashinchi, M. Department of Statistics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman, Kerman, Iran
Abstract :
An approach is proposed to construct fuzzy confidence intervals for unknown parameters in statistical models. In this approach, a family of confidence intervals of the unknown crisp parameter has been considered. Such confidence intervals are used to obtain a fuzzy confidence interval for the parameter of interest.
The proposed approach benefits a wide range of confidence intervals to obtain a trapezoidal shaped fuzzy set of the parameter space as the fuzzy confidence interval for the parameter of interest. By using the resolution identity, it is shown that the constructed fuzzy confidence intervals are really fuzzy sets of the parameter space.
Some numerical examples are provided to explain the approach in one-sided and two-sided fuzzy confidence intervals.
Moreover, an application in health sciences is provided about the recovery time of olfactory and gustatory dysfunctions for COVID-19 patients.
Keywords :
Point estimation , fuzzy confidence interval , fuzzy number , fuzzy statistics , COVID-19
