What is parameter vector in statistical inference?

It is the vector whose coordinates are the unknown quantities that you want to estimate. read more

For example, consider the independent random variables [math]X_1,X_2,\ldots,X_n \sim N(\mu,\sigma^2)[/math] then the parameter vector is [math]\theta = (\sigma^2, \mu)[/math] and you can for example use maximum likelihood estimation to estimate [math]\theta[/math]. read more

A statistical parameter or population parameter is a quantity that indexes a family of probability distributions. It can be regarded as a numerical characteristic of a population or a statistical model. read more