The normal-Laplace distribution introduced by Reed and Jorgensen [Reed, W.J., Jorgensen, M., 2004. The double Pareto-lognormal distribution, A new parametric model for size distributions. Comm. Statist-Theory and Methods, 33, 1733-1753], is studied briefly. A first order autoregressive process...

We introduce an autoregressive process called generalized normal-Laplace autoregressive process with generalized normal-Laplace distribution [Reed, W. J., 2007. Brownian-Laplace motion and its use in financial modelling. Comm. Statist. Theory Methods, 36, 473-484], as stationary marginal...