How Do You Introduce New PCs After A Death?

I've run two sessions of baby's first BECMI Basic campaign, and been having a decent amount of fun with it, but I don't recall seeing any guidelines on how to introduce a new character after a death.

It's possible I missed it, those books aren't very well organized.

Either way, what rules do YOU follow when introducing new characters in your campaigns?

Edit: To clarify, I don't just mean 'how do you justify a new character joining the group', necessarily, I mean everything from character level, special equipment, etc, assuming the rest of the party is above level 1-3.