Pavlina JordanovaStehlik, MilánMilánStehlik2025-12-072025-12-072019-09-1010.1080/07362994.2019.16477862-s2.0-85073786325https://cris-uv-2.scimago.es/handle/123456789/7437WOS:000486033700001We introduce a completely novel method for estimation of the parameter which governs the tail behavior of the cumulative distribution function of the observed random variable. We call it Inverse Probabilities for p-Outside values (IPO) estimation method. We show that this approach is applicable for wider class of distributions than the one with regularly varying tails. We demonstrate that IPO method is a valuable competitor to regularly varying tails based estimation methods. Some of the properties of the estimators are derived. The results are illustrated by a convenient simulation study.enacceso restringidoApplied MathematicsMathematics, AppliedStatistics And ProbabilityStatistics, Probability And Uncertaintyarticle