What is the difference between Statistical Signal Processing and Estimation and Detection?

1. What is the difference between detection and estimation?
2. What is signal processing in statistics?
3. What is stochastic signal processing?

What is the difference between detection and estimation?

Detection: Decision between two (or a small number of) possible hypothesis to choose the best of the two hypothesis. Parameter Estimation: Given a set of observations and given an assumed probabilistic model, we get the best estimate of the parameters of the model.

What is signal processing in statistics?

Statistical signal processing is an approach which treats signals as stochastic processes, utilizing their statistical properties to perform signal processing tasks. Statistical techniques are widely used in signal processing applications.

What is stochastic signal processing?

Definition: A stochastic process is defined as a sequence of random variables , . A stochastic process may also be called a random process, noise process, or simply signal (when the context is understood to exclude deterministic components).