A Review of Probability Distributions and Their Properties Definition and Characteristics of a Stochastic Process Some Important Classes of Stochastic Processes Stationary Processes The Brownian Motion and the Poisson Process, Levy Processes Renewal Processes and Random Walks Martingales in Discrete Time Branching Processes Regenerative Phenomena Markov Chains Tauberian Theorems.

In the paper, exact tests are proposed for testing the trend in the presence of autocorrelation and also for testing the trend and autocorrelation simultaneously in a first order Markov process. Also, the simultaneous confidence intervals associated with these tests are derived. These results are extended to a higher order Markov process.