why use stochastic analytic models what is analytic vs parametric model which is best for a forecast interval how to use mcmc to model the prediction interval how is a prediction interval produced what is mcmc analysis used for? why use analytic model why is it important to use a stochastic model instead of an analytic model why do we need a forecast interval in analytic model what is the prediction interval from mcmc what model can i use to make a prediction when can you utilise a confidence interval? why is it important to use the mcmc algorithm what is the purpose of the stochastic model in the future what is the best method to use to predict the future how to use mcmc in prediction interval analysis how to calculate the expected prediction interval with a stochastic model can analytic model be used in machine learning what is the mcmc chain for prediction how to predict in models