Estimation in Conditionally Heteroscedastic Time Series Models / Nejlevnější knihy
Estimation in Conditionally Heteroscedastic Time Series Models

Kód: 01559119

Estimation in Conditionally Heteroscedastic Time Series Models

Autor D. Straumann

In his seminal 1982 paper, Robert F. Engle described a time series model witha time-varying volatility. Engle showed that this model, which he called ARCH (autoregressive conditionally heteroscedastic), is well-suited for the desc ... celý popis

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Anotace knihy

In his seminal 1982 paper, Robert F. Engle described a time series model witha time-varying volatility. Engle showed that this model, which he called ARCH (autoregressive conditionally heteroscedastic), is well-suited for the description of economic and financial price. Nowadays ARCH has been replaced by more general and more sophisticated models, such as GARCH (generalized autoregressive heteroscedastic). This monograph concentrates on mathematical statistical problems associated with fitting conditionally heteroscedastic time series models to data. This includes the classical statistical issues of consistency and limiting distribution of estimators. Particular attention is addressed to (quasi) maximum likelihood estimation and misspecified models, along to phenomena due to heavy-tailed innovations. The used methods are based on techniques applied to the analysis of stochastic recurrence equations. Proofs and arguments are given wherever possible in full mathematical rigour. Moreover, the theory is illustrated by examples and simulation studies.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Applied mathematics

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