The maximum probability method in problems of sequential analysis

Tomasz Bojdecki

Mathematica Applicanda (1982)

  • Volume: 10, Issue: 21
  • ISSN: 1730-2668

Abstract

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The author considers the following probability maximizing approach in optimal stopping. As an example of the problem considered the author solves a disorder problem for a sequence of independent random variables. By analogous methods, a version of the general problem is solved for independent random variables appearing according to a renewal process. The paper contains a collection of results obtained by the author in earlier papers [Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 25 (1977), no. 8, 833–837; MR0468065; Stochastic Process. Appl. 6 (1977/78), no. 2, 153–163; MR0468066; Bol. Soc. Mat. Mexicana (2) 22 (1977), no. 1, 35–40; MR0651552; Stochastics 3 (1979), no. 1, 61–71; MR0546700].

How to cite

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Tomasz Bojdecki. "The maximum probability method in problems of sequential analysis." Mathematica Applicanda 10.21 (1982): null. <http://eudml.org/doc/293261>.

@article{TomaszBojdecki1982,
abstract = {The author considers the following probability maximizing approach in optimal stopping. As an example of the problem considered the author solves a disorder problem for a sequence of independent random variables. By analogous methods, a version of the general problem is solved for independent random variables appearing according to a renewal process. The paper contains a collection of results obtained by the author in earlier papers [Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 25 (1977), no. 8, 833–837; MR0468065; Stochastic Process. Appl. 6 (1977/78), no. 2, 153–163; MR0468066; Bol. Soc. Mat. Mexicana (2) 22 (1977), no. 1, 35–40; MR0651552; Stochastics 3 (1979), no. 1, 61–71; MR0546700].},
author = {Tomasz Bojdecki},
journal = {Mathematica Applicanda},
keywords = {Optimal stopping, stopping time},
language = {eng},
number = {21},
pages = {null},
title = {The maximum probability method in problems of sequential analysis},
url = {http://eudml.org/doc/293261},
volume = {10},
year = {1982},
}

TY - JOUR
AU - Tomasz Bojdecki
TI - The maximum probability method in problems of sequential analysis
JO - Mathematica Applicanda
PY - 1982
VL - 10
IS - 21
SP - null
AB - The author considers the following probability maximizing approach in optimal stopping. As an example of the problem considered the author solves a disorder problem for a sequence of independent random variables. By analogous methods, a version of the general problem is solved for independent random variables appearing according to a renewal process. The paper contains a collection of results obtained by the author in earlier papers [Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 25 (1977), no. 8, 833–837; MR0468065; Stochastic Process. Appl. 6 (1977/78), no. 2, 153–163; MR0468066; Bol. Soc. Mat. Mexicana (2) 22 (1977), no. 1, 35–40; MR0651552; Stochastics 3 (1979), no. 1, 61–71; MR0546700].
LA - eng
KW - Optimal stopping, stopping time
UR - http://eudml.org/doc/293261
ER -

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