Empirical Estimates in Economic and Financial Optimization Problems

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Empirical Estimates in Economic and Financial Optimization Problems

Popis výsledku v původním jazyce

Many applications from economic and nancial practice lead to optimization problems depending on a probability measure. A complete knowledge of the underlying measure is a necessary assumption to determine an exact optimal solution and an exact optimal value. Since this condition is not usually fullled, the solution is often determined using empirical data. Estimates of the optimal value and the optimal solution sets can be obtained by this approach only. Many eorts has been paid to the investigation ofthe above mentioned estimates. Especially the consistency and the convergence rate have been investigated. However, it was mostly done for classical problems and underlying distributions with thin tails. The aim of this paper is to analyze these estimates from the point of the distribution tails. To this end, first, we recall some known results. We recall stability results based on the Wasserstein metric corresponding to L1 norm and employ them to the case of heavy tails.

Název v anglickém jazyce

Empirical Estimates in Economic and Financial Optimization Problems

Popis výsledku anglicky

Many applications from economic and nancial practice lead to optimization problems depending on a probability measure. A complete knowledge of the underlying measure is a necessary assumption to determine an exact optimal solution and an exact optimal value. Since this condition is not usually fullled, the solution is often determined using empirical data. Estimates of the optimal value and the optimal solution sets can be obtained by this approach only. Many eorts has been paid to the investigation ofthe above mentioned estimates. Especially the consistency and the convergence rate have been investigated. However, it was mostly done for classical problems and underlying distributions with thin tails. The aim of this paper is to analyze these estimates from the point of the distribution tails. To this end, first, we recall some known results. We recall stability results based on the Wasserstein metric corresponding to L1 norm and employ them to the case of heavy tails.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Bulletin of the Czech Econometric Society

ISSN

1212-074X

e-ISSN

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Svazek periodika

19

Číslo periodika v rámci svazku

29

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

20

Strana od-do

50-69

Kód UT WoS článku

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EID výsledku v databázi Scopus

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