INTRODUCTION TO BAYESIAN STATISTICS

By W. HIZAL

TABLE OF CONTENTS 1 INTRODUCTION TO STATISTICAL SCIENCE 2 SCIENTIFIC DATA GATHERING 3 DISPLAYING AND SUMMARIZING DATA 4 LOGIC, PROBABILITY, AND UNCERTAINTY 5 DISCRETE RANDOM VARIABLES 6 BAYESIAN INFERENCE FOR DISCRETE RANDOM VARIABLES 7 CONTINUOUS RANDOM VARIABLES 8 BAYESIAN INFERENCE FOR BINOMIAL PROPORTION 9 COMPARING BAYESIAN AND FREQUENTIST INFERENCES FOR PROPORTION 10 BAYESIAN INFERENCE FOR NORMAL MEAN 11 COMPARING BAYESIAN AND FREQUENTIST INFERENCES FOR MEAN 12 BAYESIAN INFERENCE FOR DIFFERENCE BETWEEN MEANS 13 BAYESIAN INFERENCE FOR SIMPLE LINEAR REGRESSION 14 ROBUST BAYESIAN METHODS