The art of parameter (s) induction to the baseline distribution has received a great deal of
attention in recent years. The induction of one or more additional shape parameter (s) to the …

In this article it is proved that the stationary Markov sequences generated by minification
models are ergodic and uniformly mixing. These results are used to establish the optimal …

A characterization of Pareto type III distribution is obtained. As a generalization of the Pareto
distribution, a new class of distributions called the generalized Pareto distributions is …

In this paper a generalization of the semi-Pareto autoregressive minification process of the
first order is given. The necessary and sufficient condition for stationarity of the process is …

In this paper, we consider a class of stationary bivariate minification processes. The
properties of the processes are derived. It is shown that the processes are uniformly mixing …

The thesis is primarily concerned with the construction of non-linear time series models and
their applications in real-world data. Non-linear models excel at accommodating non …

In this paper we present a stationary bivariate minification process with Marshall and Olkin
exponential distribution. The process is given by X n= K min (X n− 1, Y n− 1, η n 1), Y n= K …

The sequences of non-negative rvs find applications in many areas of the real world. For
example, sequence of times to events in survival analysis, the inter-arrival times of events in …

A Minification process of the first order is given by Xn= K min (Xn-1, εn), n≥ 1, where K> 1
and {εn, n≥ 1} is an innovation process of independent and identically distributed (iid) …

The Lehmann/proportional hazards family of distributions is a well-known family of
distributions generated from a given distribution/survival function by raising it by a positive …