A study at the College of Management and Economics at the University of Karbala discussed the estimation of the robust Bayesian fuzzy risk function for the truncated Cauchy distribution with a practical application.
The study presented by the student Zainab Muhammad aimed to find the estimators of the risk function and some of its indicators for the two-parameter truncated Cauchy distribution in the event that initial information about the parameters is available in the form of an initial probability function and in the event that information is not available.
The study concluded that the robust Bayesian fuzzy informatics method under a quadratic loss function took first place in preference when calculating the estimators of the risk function for the truncated Cauchy distribution at medium and large sample sizes, which means that it is suitable for small, medium and large sample sizes.
The study recommended applying the robust fuzzy Bayesian method to discrete distributions and using the robust fuzzy Bayesian method to composite distributions and mixed distributions that have more than two parameters.
