Topics: Stochastic Process

Stochastic processes can be classified:

According to the Structure of their Sets

/ DiscreteContinuous
DiscreteChainPoint process
ContinuousSequence of random variablesContinuous process

According to the Probabilistic Features of the Random Variable

If a stochastic process has a discrete parameter set and consists of independent random variables, then we have an independent trial process.

When a stochastic process satisfies the Markov property, we have a Markov process

When we have a stochastic process whose increments within any two random variables are independent, we have a process with independent increments.

If the probability distribution of the vector of random variables is the same for any value of , then we have a stationary process.