Confusion about notation of stochastic processes

119 Views Asked by At

I do not have a mathematical background and I often find myself struggling with notations in certain scientific papers etc.

a) Am I right that the observations of a stochastic process can be written as:

$\{x_t\}^n_{t=1}$ ?

b) Can the same notation be applied to a series of variables in general? For example: Could the residuals of a simple linear regression model estimated via OLS be notated as

$\{e_t\}^n_{t=1}$ ?

I am really struggling with all the different notations and I am simply trying to define a personal sort of standard on how to notate different things.

I appreciate any help.