THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION

In this study, we introduce the five-parameter doubly-truncated exponentiated inverse Weibull distribution, where thetruncation points are known, and consider its basic properties. Formulas for moment generating function, characteristicfunction, mean, variance and kurtosis of the distribution are derived. Estimates of parameters are obtained using traditionalestimation methods; maximum likelihood, least squares and weighted least squares. Furthermore, in order to give a lowerbound for the standard errors of estimates of parameters, a Fisher information matrix is provided. A Monte-Carlo simulationstudy is designed and conducted to evaluate the performances of obtained estimators of parameters. Finally, a real dataexample is given to show the applicability of the proposed distribution.