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Spectral Density Estimation via Autoregressive Modeling

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00075328" target="_blank" >RIV/00216224:14310/14:00075328 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Spectral Density Estimation via Autoregressive Modeling

  • Original language description

    The spectral density function is a commonly used tool when analyzing time series in the frequency domain. Parametric spectral estimation methods have gained attention as potentially interesting tools in the last four decades. They allow the improvement of the statistical properties of spectral estimators with respect to the Fourier-based methods. Estimation of the parameters of ARMA and MA models needs the resolution of a set of nonlinear equations, whereas the AR parameters estimates can be calculatedby solving a set of linear ones. Moreover, algorithms, such as Levinson's, used to solve this set of equations are computationally efficient. When the AR modeling assumption is valid, spectral estimates are less biased and have lower variability than theFourier-based ones. For these reasons, the AR method became the most popular approach to parametric spectral estimation.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Mathematical Models and Financial Mathematics - Book of short papers

  • ISBN

    9788021066489

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    5-12

  • Publisher name

    Masaryk University

  • Place of publication

    Brno

  • Event location

    Brno

  • Event date

    Jan 1, 2014

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article