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Total reward variance in discrete and continuous time Markov chains

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F05%3A00411326" target="_blank" >RIV/67985556:_____/05:00411326 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Total reward variance in discrete and continuous time Markov chains

  • Original language description

    This note studies the variance of total cumulative rewards for Markov reward chains in both discrete and continuous time. It is shown that parallel results can be obtained for both cases. First, explicit formulae are presented for the variance within finite time. Next, the infinite time horizon is considered. Most notably, it is concluded that the variance has a linear growth rate. Explicit expressions are provided, related to the standard average reward case, to compute this growth rate.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2005

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Operations Research Proceedings 2004

  • ISBN

    978-3-540-27679-1

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

  • Publisher name

    Springer

  • Place of publication

    Berlin

  • Event location

    Tilburg

  • Event date

    Sep 1, 2004

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article