In this work, we extend our study in Chochola et al. [7] and propose some robust sequential procedure for the detection of structural breaks in a Functional Capital Asset Pricing Model (FCAPM). The procedure is again based on M-estimates and partial weighted sums of M-residuals and...

Some robust sequential procedures for the detection of structural breaks in the Capital Asset Pricing Model (CAPM) are proposed and studied. Most of the existing procedures for this model are based on ordinary least squares (OLS) estimates. Here we propose a class of cumulative sum (CUSUM)-type...

First of all, we would like to congratulate and to thank Lajos Horváth and Gregory Rice for providing an excellent overview of a recent development in the area of change point. This area is developing quite fast with many new procedures, many new theoretical results and many applications. We...

Despite substantial criticism, variants of the capital asset pricing model (CAPM) remain to this day the primary statistical tools for portfolio managers to assess the performance of financial assets. In the CAPM, the risk of an asset is expressed through its correlation with the market, widely...

Abstract The paper concerns with parameter estimation in a heteroscedastic random coefficient autoregressive (RCA) model of the form X t = b t X t −1 + Y t . A conditionally weighted least squares (CWLS) estimator of β =  Eb t is studied. Its strong consistency and asymptotic normality...

Stochastic variance models where the logarithmic volatility is modelled by an ARMA process and models with conditional heteroscedasticity for daily returns are studied. Volatility of monthly relative changes computed as a product of daily changes is considered and estimated from daily...