A new class of first-order autoregressive minification process which generalizes any autoregressive process of first order, is introduced. A necessary and sufficient condition for this process to be stationary is given. Some properties of the process are studied. Second-order extension of the...

Asymmetric Laplace distributions have received much attention in recent years. It can be used in modeling currency exchange rate, interest rate, stock price changes, etc. But no time-series models with asymmetric Laplace marginal are yet developed. Present work aims at developing autoregressive...

A new class of discrete distributions, namely discrete Mittag-Leffler distributions is introduced and its properties are studied. The discrete Mittag-Leffler distributions are the discrete analogue of Mittag-Leffler distributions and are generalizations of the geometric distribution. First-order...