With uncertain changes of the economic environment, macroeconomic downturns during recessions and crises can hardly be explained by a Gaussian structural shock. There is evidence that distribution variables skewed heavy tailed. In this paper, we contribute to literature extending vector autoregression (VAR) model account for more realistic assumptions on multivariate variables. We propose gener...

Abstract. In this paper, we propose to study a generalized form of the exponential power distribution which contains others in the literature as special cases. This unifying exponential power distribution is characterized by a parameter ω and a function h(ω) which regulates the tail behavior of the distribution, thus making it more flexible and suitable for modeling than the usual normal di...

Birnbaum and Saunders introduced in 1969 a two-parameter lifetime distribution which has been used quite successfully to model a wide variety of univariate positively skewed data. Diaz-Garcia and Leiva-Sanchez [9] proposed a generalized BirnbaumSaunders distribution by using an elliptically symmetric distribution in place of the normal distribution. Recently, Kundu et al. [17] introduced a biva...

In this paper, we present algorithms for the approximation of multivariate periodic functions by trigonometric polynomials. The approximation is based on sampling of multivariate functions on rank-1 lattices. To this end, we study the approximation of periodic functions of a certain smoothness. Our considerations include functions from periodic Sobolev spaces of generalized mixed smoothness. Re...

In Statistical Process Control (SPC) there exists a need to model the run-length distribution of a Q-chart that monitors the process mean when measurements are from an exponential distribution with an unknown parameter. To develop exact expressions for the probabilities of run-lengths the joint distribution of the charting statistics is needed. This gives rise to a new distribution that can be ...

The CCC-GARCH model, and its dynamic correlation extensions, form the most important model class for multivariate asset returns. For density portfolio risk forecasting, a drawback of these models is underlying assumption Gaussianity. This paper considers so-called COMFORT class, which but endowed with generalized hyperbolic innovations. novelty that parameter estimation conducted by joint maxim...