Mixture of Two Inverse Exponential Distributions Based on Fuzzy Data

Authors

  • Shurooq A K Al-Sultany Department of Mathematics, College of Science, Mustansiriyah University, Iraq
  • Sahar Ahmed Mohammed Lecturer in the Department of Mathematics, College of Science, Mustansiriyah University, Iraq

Keywords:

Finite Mixtures, Reliability, Inverse Exponential distribution, NR algorithm, Lindley’s approximation, Mean square error, quadratic loss function

Abstract

 In this paper we will discuss the mixture distribution consisting of two Inverse Exponential Distributions (MTIED) based on fuzzy data. We will study the Maximum Likelihood Estimator (MLE) via the Newton Raphson (NR) algorithm and Bayes estimation under square error loss and quadratic loss functions for the unknown parameters of the distribution, and reliability function. The obtained estimates of the unknown parameters and reliability function are compared numerically through Monte-Carlo simulation study in term of the mean square error (MSE) values and (IMSE) respectively.

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Published

2019-01-10

Issue

Vol. 0 No. 2 (2019): Conference

Section

Articles

How to Cite

(1)
Mixture of Two Inverse Exponential Distributions Based on Fuzzy Data. ANJS 2019, No. 2, 73-81.