Abstract
The estimators of Gumbel type-II distribution parameter was set by using Maximum likelihood method (MLE) and Bayesian method, under many types of Loss functions; Linex Loss Function (LLF) Modified Linex Loss Function (MLLF), Balanced Linex Loss Function (BLLF), and Compound Linex Loss Function (CLLF) using Gamma prior.One of the ways to compare the different estimators, and find the best method for estimation which used in this paper, Mean Squared Error (MSE) and Root Mean Square Error (RMSE), was used based on a Monte Carlo Simulation (MCS).Finally, the discussion and illustrate of comparison results was showed and summarized in tables.
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