Suppose, I never studied random variables. This is the syllabus:
Review of important notions of probability theory (4h).
A few remarks on stochastic processes : Definition of a Stochastic process, Notion of the state and realization of the process, Classification of Stochastic processes.Probability and Moment generating functions and their properties (2h).
Branching processes Galton process :Probability of extinction , Applications in demography and nuclear physics (4h).
Poisson processes and its applications. Exponentioal distribution and its properties, . Poisson Process and their properties : Distribution of periods between successive calls , Summing independent Poisson processes, Conditional distributions of inter-arrival times , Generalizations of Poisson processes , nonuniform distribution , Composed Poisson process (6h).
Simple queuing systems: M/M/c systems without and with queue.: Probability of blocking, probability of the delay and average waiting time (4h).
Renewal Processes (6h).
What are the minimum and maximum prerequisites to study Stochastic Processes?
That is, what things should I know beforehand to start studying Stochastic Processes?