Bayesian Inference for Beta-Binomial Model
Probability Theory DS practice problem on Onlearn.
Difficulty: medium.
Topics: Understanding Bayesian Inference for Beta-Binomial Conjugacy, Prior-Posterior Updating, Hyperparameter Tuning, Expected Value of Beta Distribution, Success-Failure Bernoulli Trials, Probability Density Function Normalization, Probability Theory, Bayesian Statistics, Statistical Inference, Calculus, Machine Learning Foundations, Conjugate Priors, Likelihood Functions, Posterior Distributions, Binomial Distribution, Beta Distribution.
Given a Beta distribution prior with parameters alpha and beta, and observed data consisting of 'n' trials with 'k' successes, calculate the posterior distribution parameters (alpha prime, beta prime) and return the posterior mean of the distribution.