Robust Estimator of Conditional Tail Expectation of Pareto-Type Distribution

In this paper, we use the extreme value index estimator, called the t-Hill, to derive a robust estimator of conditional tail expectation (CTE) in the case of heavy-tailed losses. The CTE is rapidly turning into the favored measure for statutory assessment of the balance sheet at whatever point true stochastic techniques are utilized to fix the provisions for risks. Under the extreme value methodology, we prove the asymptotic normality of the robust nonparametric conditional tail expectation estimator when the loss variable follows any distribution with infinite second moment. In addition, the numerical performance of our new estimator is studied and compared to a well-established estimator, with favorable results.