Limit Theorems for Suprema, Threshold-Stopped Random Variables and Last Exits of i.i.d. Random Variables with Costs and Discounting, with Applications to Optimal Stopping

For linear-cost-adjusted and geometric-discounted infinite sequences of i.i.d. random variables, point process convergence results are proved as the cost or discounting effect diminishes. These process convergence results are combined with continuous-mapping principles to obtain results on joint con...

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Veröffentlicht in:Advances in Applied Probability. - Applied Probability Trust. - 24(1992), 2, Seite 241-266
1. Verfasser: Kennedy, Douglas P. (VerfasserIn)
Weitere Verfasser: Kertz, Robert P.
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1992
Zugriff auf das übergeordnete Werk:Advances in Applied Probability
Schlagworte:Optimal stopping Maxima of i.i.d. random variables Domains of attraction Last-exit times Extreme-value theory Point processes Poisson random measure Weak convergence Mathematics Applied sciences mehr... Biological sciences Economics
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520 |a For linear-cost-adjusted and geometric-discounted infinite sequences of i.i.d. random variables, point process convergence results are proved as the cost or discounting effect diminishes. These process convergence results are combined with continuous-mapping principles to obtain results on joint convergence of suprema and threshold-stopped random variables, and last-exit times and locations. Applications are made to several classical optimal stopping problems in these settings. 
540 |a Copyright 1992 Applied Probability Trust 
650 4 |a Optimal stopping 
650 4 |a Maxima of i.i.d. random variables 
650 4 |a Domains of attraction 
650 4 |a Last-exit times 
650 4 |a Extreme-value theory 
650 4 |a Point processes 
650 4 |a Poisson random measure 
650 4 |a Weak convergence 
650 4 |a Mathematics  |x Pure mathematics  |x Probability theory  |x Random variables 
650 4 |a Applied sciences  |x Computer science  |x Artificial intelligence  |x Machine learning  |x Perceptron convergence procedure 
650 4 |a Mathematics  |x Mathematical expressions  |x Mathematical theorems 
650 4 |a Applied sciences  |x Engineering  |x Automotive engineering  |x Stopping power  |x Stopping distances 
650 4 |a Biological sciences  |x Agriculture  |x Farming  |x Crop production  |x Crop harvesting  |x Manual harvesting  |x Threshing 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Statistical distributions  |x Distribution functions 
650 4 |a Economics  |x Economic disciplines  |x Financial economics  |x Banking  |x Central banking  |x Federal Reserve System  |x Discounting 
650 4 |a Mathematics  |x Mathematical expressions  |x Mathematical functions 
650 4 |a Mathematics  |x Pure mathematics  |x Geometry  |x Geometric shapes  |x Polytopes  |x Polygons  |x Tetragons  |x Parallelograms  |x Rectangles 
650 4 |a Economics  |x Microeconomics  |x Economic costs and benefits  |x Economic costs  |x Cost efficiency 
655 4 |a research-article 
700 1 |a Kertz, Robert P.  |e verfasserin  |4 aut 
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