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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014 Number 3, Pages 48–50 (Mi vmumm321)

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Degeneracy condition for the optimal moment in the optimal stop problem for a functional of a skewed down random walk and its maximum

A. L. Vorob'ev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The paper presents a new class of functions dependent on skew-down random walk and its maximum such that the optimal moment in the optimal stopping problem for this function on a finite time interval is trivial and equal to the beginning of the interval.

Key words: skew random walk, optimal stopping, “buy-and-hold” rule.

UDC: 519.216

Received: 01.03.2013


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2014, 69:3, 118–120

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