A Comparison between Fuzzy Log-logistic Parameters Estimators and Other Estimators
Hegazy M. Zaher
Institute of Statistical Studies and Research, Cairo University, Giza, Egypt.
Ahmed A. El-Sheik
Institute of Statistical Studies and Research, Cairo University, Giza, Egypt.
A. T. Abu El-Magd *
Faculty of Business and Economics, Misr University for Science and Technology, Giza, Egypt.
*Author to whom correspondence should be addressed.
Abstract
The main concern of this paper is to derive the fuzzy estimators for the two-parameter Log-logistic distribution. The TL-moments, L-moments and LQ-moments formulas are obtained for the Log-logistic distribution. Also, the estimation of these parameters is considered using the maximum likelihood method, the TL-moments, L-moments and LQ-moments. Furthermore, a numerical comparison is considered between all these estimators for the Log-logistic distribution.
Keywords: Log-logistic distribution, fuzzy least-squares, maximum likelihood, TL-moments, L-moments, LQ-moments, Simulations