I have the following linear equation:
Dummy dependent variable = dummy main independent variable + control variable 1, absolute value of changes (also between 0 and 1) + control variable 2, sigma (also between 0 and 1)
I want to know how to exactly write the logit and probit regression equations in a formal academic context.
Regarding the LHS, should this be written as logit(y)/probit(y), or P(y=1 given the RHS)?
If the main Linear Probability Model equation included a fixed effects term and an error term, should those be omitted for the logit and probit models? Thanks!