The generalized lambda distribution (GLD) is a versatile distribution that can accommodate a wide range of shapes, including fat-tailed and asymmetric distributions. It is defined by its quantile function. We introduce a more intuitive parameterization of the GLD that expresses the location and...

A new portfolio selection framework is introduced where the investor seeks the allocation that is as close as possible to his "ideal" portfolio. To build such a portfolio selection framework, the f-divergence measure from information theory is used. There are many advantages to using the...

We consider the problem related to the estimation of parametric models in the presence of outliers. The maximum likelihood estimator is often used to find parameter values. However, it is highly sensitive to abnormal points. In this regard, the weighted trimmed likelihood estimator (WTLE) has...

A new portfolio selection framework is introduced where the investor seeks the allocation that is as close as possible to his "ideal" portfolio. To build such a portfolio selection framework, the f-divergence measure from information theory is used. There are many advantages to using the...

We consider the use of the generalized lambda distribution (GLD) family as a flexible distribution with which to model financial data sets. The GLD can assume distributions with a large range of shapes. Analysts can therefore work with a single distribution to model almost any class of financial...

It is well known that the finite-sample null distribution of the Jarque-Bera Lagrange Multiplier (LM) test for normality and its adjusted version (ALM) introduced by Urzua differ considerably from their asymptotic \chi^2(2) limit. Here, we present results from Monte Carlo simulations using 10^7...

It is well known that the finite-sample null distribution of the Jarque-Bera Lagrange Multiplier (LM) test for normality and its adjusted version (ALM) introduced by Urzua differ considerably from their asymptotic \chi^2(2) limit. Here, we present results from Monte Carlo simulations using 10^7...

Generalized autoregressive heteroskedasticity (GARCH) models are widely used to reproduce stylized facts of financial time series and today play an essential role in risk management and volatility forecasting. But despite extensive research, problems are still encountered during parameter...

The generalized lambda distribution (GLD) is a versatile distribution that can accommodate a wide range of shapes, including fat-tailed and asymmetric distributions. It is defined by its quantile function. We introduce a more intuitive parameterization of the GLD that expresses the location and...

The entropy is a concept which may serve to define quantities such as the conditional entropy and the mutual information. Using a novel algorithm for the estimation of the mutual information from data, we analyse several financial time series and demonstrate the usefulness of this new approach....