This book is devoted to Mathematical Statistics and Statistics for Stochastic Processes, based on Measure theory, Probability theory and Decision theory. Contents: Decision theory, Estimation, Tests, Confidence intervals, asymptotic Statistics, nonparametric Statistics and robustness, second order Processes in discrete and continuous time, Poisson Process, ARMA processes, Wiener Process, Its integral and Diffusion processes, Statistics for discrete and continuous time processes, Statistical prediction, compliments in Probability