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Teoriya Veroyatnostei i ee Primeneniya, 2000, Volume 45, Issue 4, Pages 657–669
DOI: https://doi.org/10.4213/tvp497
(Mi tvp497)
 

This article is cited in 39 scientific papers (total in 39 papers)

A note on optimal stopping of regular diffusions under random discounting

M. Beibel, H. R. Lerche

Institut für Mathematische Stochastik, Universität Freiburg, Germany
Abstract: Let X be a one-dimensional regular diffusion, $A$ a positive continuous additive functional of $X$, and h a measurable real-valued function. A method is proposed to determine a stopping rule $T^*$ that maximizes $\mathbf{E}\{e^{-A_T} h(X_T) 1_{\{T < \infty\}}\}$ over all stopping times $T$ of $X$. Several examples are discussed.
Keywords: diffusions, generalized parking problems, optimal stopping, random regret.
Received: 04.02.1999
English version:
Theory of Probability and its Applications, 2001, Volume 45, Issue 4, Pages 547–557
DOI: https://doi.org/10.1137/S0040585X9797852X
Bibliographic databases:
Language: English
Citation: M. Beibel, H. R. Lerche, “A note on optimal stopping of regular diffusions under random discounting”, Teor. Veroyatnost. i Primenen., 45:4 (2000), 657–669; Theory Probab. Appl., 45:4 (2001), 547–557
Citation in format AMSBIB
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\paper A~note on optimal stopping of regular diffusions under random discounting
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\pages 657--669
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\transl
\jour Theory Probab. Appl.
\yr 2001
\vol 45
\issue 4
\pages 547--557
\crossref{https://doi.org/10.1137/S0040585X9797852X}
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  • https://www.mathnet.ru/eng/tvp/v45/i4/p657
  • This publication is cited in the following 39 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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