Bounds for optimal stopping values of dependent random variables with given marginals
✍ Scribed by Alfred Müller
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 92 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0167-7152
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✦ Synopsis
We consider the problem of optimal stopping of a ÿnite sequence of dependent random variables. We explicitly determine the maximum of the stopping value within the Frà echet class of all multivariate distributions with given continuous marginals. We show that the maximum is attained for a shu e of min copula, and that it coincides with the value of a prophet.
📜 SIMILAR VOLUMES
The random variables (r.vs.) X , . i E S : = ( 1 , 2 ...I, to he dealt uith are measurable mappings from a probability space (9. 91, P ) into a measure space (B, %), R being a RANACH space with a countable hasis (e,),,,, and ' 3 the o-algebra of 13orel sets of B. The type of convergence to be mainly