Abstract—Testing statistical hypothesis is a main topic in statistical inference. In this paper, we consider the problem of testing a simple hypothesis about the mean and variance of a fuzzy random variable with the help of Dp,q-distance. Concerning the hypothesis testing, the bootstrap techniques have empirically shown to be efficient and powerful. By means of simulation and some examples we show that the bootstrap method is a powerful tool in the statistical hypothesis testing about the parameters of fuzzy random variables.
Index Terms—Bootstrap, Dp,q-distance, fuzzy random variable, testing of hypothesis.
The authors are with Department of Statistics, University of Mazandaran, Babolsar, Iran (e-mail: sadeghpour@umz.ac.ir; rahimpour.s@gmail.com).
Cite:Bahram Sadeghpour Gildeh and Sedigheh Rahimpour, "Fuzzy Bootstrap Test for the Mean and Variance with Dp,q-Distance," International Journal of Machine Learning and Computing vol. 3, no. 1, pp. 21-23, 2013.