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Change Point Detection in Autoregression Without Variability Estimation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F17%3A00484133" target="_blank" >RIV/67985807:_____/17:00484133 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/17:10366005

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Change Point Detection in Autoregression Without Variability Estimation

  • Original language description

    A sequence of time-ordered observations follows an autoregressive model of order one and its parameter is possibly subject to change at most once at some unknown time point. The aim is to test whether such an unknown change has occurred or not. A change point method presented here rely on a ratio type test statistic based on the maxima of cumulative sums. The main advantage of the proposed approach is that the variance of the observations neither has to be known nor estimated. Asymptotic distribution of the test statistic under the no change null hypothesis is derived. Moreover, we prove the consistency of the test under the alternative. The results are illustrated through a simulation study, which demonstrates computational e

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GBP402%2F12%2FG097" target="_blank" >GBP402/12/G097: DYME-Dynamic Models in Economics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the International work-conference on Time Series 2017

  • ISBN

    978-84-17293-01-7

  • ISSN

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

    674-685

  • Publisher name

    Godel Editorial

  • Place of publication

    Granada

  • Event location

    Granada

  • Event date

    Sep 18, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article