{"product_id":"9783658438524","title":"Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics","description":"\u003ch1\u003eMathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics\u003c\/h1\u003e \u003ch2\u003eKlein, Maximilian\u003c\/h2\u003e \u003cp\u003eMaximilian Klein analyses nested Monte Carlo simulations for the approximation of conditional expected values. Thereby, the book deals with two general risk functional classes for conditional expected values, on the one hand the class of moment-based estimators (notable examples are the probability of a large loss or the lower partial moments) and on the other hand the class of quantile-based estimators. For both functional classes, the almost sure convergence of the respective estimator is proven and the underlying convergence speed is quantified. In particular, the class of quantile-based estimators has important practical consequences especially for life insurance companies since the Value-at-Risk falls into this class and thus covers the solvency capital requirement problem. Furthermore, a novel non parametric confidence interval method for quantiles is presented which takes the additional noise of the inner simulation into account.\u003c\/p\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer Spektrum\u003c\/p\u003e \u003cp\u003ePublication Date: 2024-03-27\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783658438524\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-658-43853-1\u003c\/p\u003e \u003cp\u003eDimensions: 210cm x148cm\u003c\/p\u003e \u003cp\u003ePages: 137\u003c\/p\u003e ","brand":"Springer Fachmedien Wiesbaden","offers":[{"title":"Default Title","offer_id":45440599195788,"sku":"9783658438524","price":76.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783658438524.jpg?v=1776013118","url":"https:\/\/lateknightbooks.com\/products\/9783658438524","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}