According to the Moment Generating Function Uniqueness Theorem—if two random variables X and Y have the same moment generating function, then they have the same probability distribution ([12] pp. 652–654)—the standard Bernoulli and the beta-Bernoulli distributions are identical. Corollary 1. The...
According to the Moment Generating Function Uniqueness Theorem—if two random variables X and Y have the same moment generating function, then they have the same probability distribution ([12] pp. 652–654)—the standard Bernoulli and the beta-Bernoulli distributions are identical. Corollary 1. The...
According to the Moment Generating Function Uniqueness Theorem—if two random variables X and Y have the same moment generating function, then they have the same probability distribution ([12] pp. 652–654)—the standard Bernoulli and the beta-Bernoulli distributions are identical. Corollary 1. The...