On the generalised Pearson distribution for application in financial time series modelling

Stavros Stavroyiannis

Global Business and Economics Review, 2014, vol. 16, issue 1, 1-14

Abstract: We elaborate on a new distributional scheme resulting from the generalised Pearson distribution with application to financial modelling. As case studies, we consider the major historical indices daily returns, DJIA, NASDAQ composite, FTSE100, CAC40, DAX and S%P500, as well as, high-frequency returns of the Euro/Japanese Yen foreign currency exchange rates. Using non-linear optimisation techniques, we compare the results of the maximum likelihood estimator of the new distribution to the results of the Pearson type-IV distribution. The main findings indicate that the new distribution improves the value of the estimator in all cases, with significant improvement below the 60-min sampling.

Keywords: financial markets; maximum likelihood estimation; nonlinear optimisation; generalised Pearson distribution; GPD; financial time series; time series modelling; financial modelling. (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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