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Aug 26,2025
Introduction to Statistical Decision Theory – Edition 8: Application: Bayes Rule under Weighted Loss in the Normal-Normal Model
Overview In this edition, we study the Bayes rule under a weighted squared loss for the Normal-Normal model. We will: Derive the posterior distribution for a single observation. Show that the Bayes rule has a…
Aug 26,2025
Making Bayesian Statistics Accessible to Everyone – Edition 7: Noninformative Priors and the Jeffreys Rule
Introduction In Edition 7, we address a foundational yet subtle aspect of Bayesian inference: noninformative priors. Also referred to as “vague,” “flat,” or “reference” priors, they are used when we want our prior beliefs to…
Aug 26,2025
Introduction to Statistical Decision Theory – Edition 9: Understanding Minimax Rules: Making the Best of the Worst
Introduction: What’s at Stake? Imagine you have to make a decision, but you don’t know exactly what the true state of the world is. You’re stuck in a game against uncertainty, and you’d like to…
Aug 26,2025
Making Bayesian Statistics Accessible to Everyone – Edition 8: Noninformative Priors for Location and Scale Parameters
Introduction In this eighth edition of our Bayesian series, we delve into a refined class of noninformative priors, specifically for location and scale parameters. This builds directly upon our previous edition, where we introduced the…
Aug 26,2025
Introduction to Statistical Decision Theory – Edition 10: Minimaxity, Admissibility, and the Geometry of Statistical Decisions
1. Minimax Rules: Example Consider nonrandomized decision rules only. Randomized minimax rules will be discussed later. $\begin{array}{c|cccccc} & d_1 & d_2 & d_3 & d_4 & d_5 & d_6 \ \hline R(\theta_1, d_i) & 17…
Aug 26,2025
Making Bayesian Statistics Accessible to Everyone – Edition 9: Quiz on Bayesian Fundamentals (Part I)
Introduction Welcome to Edition 9 of our Bayesian series: “Making Bayesian Statistics Accessible to Everyone”. This edition is dedicated to reinforcing your understanding through a 20-question quiz, combining true/false and multiple choice formats. The questions…
