InData Science CollectivebyRyan Burn·Mar 31, 2025Constructing Default Priors for Bayesian Hypothesis Testing: A Reference Analysis ApproachConsider these birth records from Paris collected between 1745 and 1770:
InTDS ArchivebyRyan Burn·Dec 10, 2024How to Apply the Central Limit Theorem to Constrained DataWhat can we say about the mean of data distributed in an interval [a, b]?A response icon3A response icon3
InTDS ArchivebyRyan Burn·Oct 30, 2024Using Objective Bayesian Inference to Interpret Election PollsHow to build a polls-only objective Bayesian model that goes from a state polling lead to probability of winning the state
InTDS ArchivebyRyan Burn·Aug 9, 2024Comparing Sex Ratios: Revisiting a Famous Statistical Problem from the 1700sWhat can we say about the difference of two binomial distribution probabilitiesA response icon1A response icon1
InTDS ArchivebyRyan Burn·Jun 28, 2024How to Efficiently Approximate a Function of One or More VariablesUse sparse grids and Chebyshev interpolants to build accurate approximations to multivariable functions.A response icon2A response icon2
InTDS ArchivebyRyan Burn·Jun 11, 2024Introduction to Objective Bayesian Hypothesis TestingHow to Derive Posterior Probabilities for Hypotheses using Default Bayes FactorsA response icon1A response icon1
InTDS ArchivebyRyan Burn·Apr 23, 2024An Introduction to Objective Bayesian InferenceHow to calculate probability when “we absolutely know nothing antecedently to any trials made” (Bayes, 1763)A response icon2A response icon2
InTDS ArchivebyRyan Burn·Mar 10, 2022Logistic Regression and the Missing PriorHow to reduce the bias of logistic regression using Jeffreys PriorA response icon1A response icon1
InTDS ArchivebyRyan Burn·Feb 23, 2022How to Build a Bayesian Ridge Regression Model with Full Hyperparameter IntegrationHow do we handle the hyperparameter that controls regularization strength?A response icon1A response icon1
InITNEXTbyRyan Burn·Dec 27, 2020Why Standard C++ Math Functions Are SlowPerformance has always been a high priority for C++, yet there are many examples both in the language and the standard library where…