Stochastic Processes and Calculus

Stochastic Processes and Calculus

An Elementary Introduction with Applications

Hassler, Uwe

Springer International Publishing AG

03/2019

391

Mole

Inglês

9783319794822

15 a 20 dias

629

Descrição não disponível.
Introduction.- Part I Time Series Modeling.- Basic Concepts from Probability Theory.- Autoregressive Moving Average Processes (ARMA).- Spectra of Stationary Processes.- Long Memory and Fractional Integration.- Processes with Autoregressive Conditional Heteroskedasticity (ARCH).- Part II Stochastic Integrals.- Wiener Processes (WP).- Riemann Integrals.- Stieltjes Integrals.- Ito Integrals.- Ito's Lemma.- Part III Applications.- Stochastic Differential Equations (SDE).- Interest Rate Models.- Asymptotics of Integrated Processes.- Trends, Integration Tests and Nonsense Regressions.- Cointegration Analysis.
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Asymptotic theory;Cointegration;Financial economics;Mathematical finance;Nonstationary processes;Quantitative finance;Stochastic calculus;Stochastic differential equations;Stochastic integrals;Stochastic processes;Time series modeling