On best choice problems having similar solutions

Autor:	Zdzisław Porosiński
Rok vydání:	2002
Předmět:	Statistics and Probability Sequence Uniform distribution (continuous) Information structure Applied mathematics Probability distribution Optimal stopping rule Point (geometry) Optimal stopping Statistics Probability and Uncertainty Mathematical economics Choice problem Mathematics
Zdroj:	Statistics & Probability Letters. 56:321-327
ISSN:	0167-7152
DOI:	10.1016/s0167-7152(01)00201-2
Popis:	The purpose of the paper is to point out that best choice problems with different information structure may have similar solutions. A full-information best choice problem with a random number of objects having uniform distribution is considered. An optimal stopping rule, determined by decreasing sequence of levels, is found. Asymptotic behaviour of both an optimal stopping rule and a winning probability is examined in detail. Both the sequence of optimal levels determining optimal strategies and asymptotic winning probabilities are the same in the considered problem as well as in a best choice problem with partial information considered by Petruccelli (Ann. Statist. 8 (1980) 1171–1174).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2e980bee0aa214d13de82eaebd56b39c https://doi.org/10.1016/s0167-7152(01)00201-2 Zobrazit plný text záznamu Full Text from ScienceDirect