Family objects provide a convenient way to specify the details of the models used by many model fitting functions. The family functions presented here are for use with brms only and will **not** work with other model fitting functions such as glm or glmer. However, the standard family functions as described in family will work with brms. You can also specify custom families for use in brms ... Baseline CD and lifetime ASPD were modeled with linear mixed effects regression , past year ASPD was modeled with negative-binomial mixed effects regression , and binary outcomes (arrest after 18 th birthday, attrition, and legal involvement during the past five years) were modeled with logistic mixed effects regression .
In probability theory and statistics, the beta-binomial distribution is a family of discrete probability distributions on a finite support of non-negative integers arising when the probability of success in each of a fixed or known number of Bernoulli trials is either unknown or random.
Use the binomial expansion theorem to find each term. The binomial theorem states. . Expand the summation. Simplify the exponents for each term of the expansion.