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What is the difference between a random variable and random process?
A random process is a sequence of random variables defined over a period of time.
What is a stochastic process?
Stochastic process is also known as a random process. It is a collection of random variables that represent the evolution of some system of random values over time.
What is the difference between random variable and random process?
A random variable is a variable which can take different values and the values that it takes depends on some probability distribution rather than a deterministic rule. A random process is a process which can be in a number of different states and the transition from one state to another is random.
What is mathematical definition of random process?
Probability model
What is the difference between stochastic and random?
Wikipedia states that stochastic means random. But there are differences depending on the context. Stochastic is used as an adjective, as in stochastic process, stochastic model, or stochastic simulation, with the meaning that phenomena as analyzed has an element of uncertainty or chance (random element). If a system is not stochastic, it is deterministic. I may consider a phenomena is a random process and analyze it using a stochastic simulation model. When we generate numbers using a probability distribution, these are called random numbers, or pseudo random numbers. They can also be called random deviates. See related links.
