What is the informal definition of stochastic processes given at the start of the lecture?

Conditions

• Applies to the introductory terminology used in this video.
• The modeled objects are signals or functions.
• The index domain mentioned is time or space.

Reasoning, step by step

1. Identify the terms 'stochastic' and 'random' as synonyms in this context.
2. Recognize that the subject is described as 'probability models'.
3. Note that these models are applied to 'signals or functions'.
4. Observe that the signals or functions are indexed by 'time or space'.

Example

The lecturer writes 'Probability models for signals/functions in time or space' directly under the title 'Stochastic Processes / Random Processes'.

Common misconceptions

• Assuming that stochastic processes are only about time; the definition explicitly includes space.
• Thinking that a stochastic process is a single fixed function rather than a model for a class of functions.

Watch the explanation

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