Default Bayesian analysis of the Behrens-Fisher problem

DOI10.1016/S0378-3758(99)00070-1zbMath0941.62030OpenAlexW1989418220MaRDI QIDQ1125534

Elías Moreno, Francesco Bertolino, Walter Racugno

Publication date: 29 May 2000

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(99)00070-1

zbMATH Keywords

Bayes factorsintrinsic priorsBehrens-Fisler problemfractional priors

Mathematics Subject Classification ID

Bayesian inference (62F15) Bayesian problems; characterization of Bayes procedures (62C10) Foundations and philosophical topics in statistics (62A01)

Related Items (17)

Training samples in objective Bayesian model selection. ⋮ A new minimal training sample scheme for intrinsic Bayes factors in censored data ⋮ Objective Bayesian testing for the linear combinations of normal means ⋮ Objective Bayesian methods for one-sided testing ⋮ On intrinsic priors for nonnested models ⋮ Bayes factor consistency for nested linear models with a growing number of parameters ⋮ Objective Bayesian multiple comparisons for normal variances ⋮ Bayesian model selection methods for nonnested models ⋮ Objective Bayesian Testing of a Poisson Mean ⋮ Bayes Factor Consistency for One-way Random Effects Model ⋮ Testing equality of regression coefficients in heteroscedastic normal regression models ⋮ The multivariate Behrens-Fisher distribution ⋮ Bayesian multiple change-points detection in a normal model with heterogeneous variances ⋮ Intrinsic Priors for Testing Two Normal Means with Intrinsic Bayes Factors ⋮ A Bayesian solution to the Behrens-Fisher problem ⋮ Bayesian Inference Under Partial Prior Information ⋮ Bayes factor consistency for unbalanced ANOVA models

Cites Work

• Estimating the dimension of a model
• Properties of intrinsic and fractional Bayes factors
• The Intrinsic Bayes Factor for Model Selection and Prediction
• On the Behrens-Fisher problem
• An Intrinsic Limiting Procedure for Model Selection and Hypotheses Testing
• A Reference Bayesian Test for Nested Hypotheses and its Relationship to the Schwarz Criterion
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