The failures-only convention counts only the number of failures before the r-th success, whereas the total-trials convention counts all trials. The failures-only variable is shifted by r compared to the total-trials variable.
Conditions: Comparing two different definitions of the negative binomial random variable.
The failures-only convention counts only the number of failures before the r-th success, whereas the total-trials convention counts all trials. The failures-only variable is shifted by r compared to the total-trials variable.
Conditions: Comparing two different definitions of the negative binomial random variable.