Over the last decade there has been a marked interest in a Laplace distribution and its properties and generalizations, especially in the framework of financial applications. Such an interest has led to a revision and discussion of available goodness-of-fit procedures for a Laplace distribution....

Tracking of an unknown frequency embedded in noise is widely applied in a variety of applications. Unknown frequencies can be obtained by approximating generalized spectral density of a periodic process by an autoregressive (AR) model. The advantage is that an AR model has a simple structure and...

We propose a new robust Jarque-Bera (RJB) test utilizing a robust measure of variance. The RJB statistic is asymptotically [chi]22-distributed and has equal or higher power than the JB test for several common alternatives to normality.

We propose a novel, simple, efficient and distribution-free re‐sampling technique for developing prediction intervals for returns and volatilities following ARCH/GARCH models. In particular, our key idea is to employ a Box–Jenkins linear representation of an ARCH/GARCH equation and then to...