REVIEW
PAPERS
MODEL SELECTION AND HYPOTHESIS TESTING
 Objective Bayesian Model Selection and Testing Papers
 Pvalue Papers
 Conditional Frequentist Testing Papers
INTERFACES BETWEEN STATISTICAL PARADIGMS
 Unified Frequentist and Bayesian Testing Papers
 Bayes and Integrated Likelihood Paper
 BayesFrequentist Interfaces in Choice of Priors
Papers
CHOICE OF OBJECTIVE PRIORS
PAPERS
NONPARAMETRIC BAYES
PAPERS
ROBUST BAYESIAN ANALYSIS
PAPERS
INTERDISCIPLINARY
PAPERS
COMPUTER MODELING
PAPERS
REVIEW
 The Frequentist viewpoint and conditioning.
Later version appeared as: Berger, J. (1985),
in
'Proceedings of the Berkeley Conference in honor of Jack Kiefer and Jerzy
Neyman' (L. Le Cam and R. Olshen Eds.), Wadsworth, Belmont.
 Testing precise hypotheses (with
Discussion).
Berger, J. and Delampady, M. (1987).
`Statistical Science', {2}, 317352.
 The present and future of Bayesian multivariate
analysis.
Later version appeared as: Berger, J. (1993),
in 'Multivariate Analysis: Future
Directions', C. R. Rao (Ed.), pp. 2553. NorthHolland, Amsterdam.
 An overview of robust Bayesian analysis
[with Discussion].
Later version appeared as: Berger, J. (1994)
`Test' , { 3}, 5124.
 Bayesian analysis: a look at today and
thoughts of tomorrow.
Later version appeared as: Berger, J. (2000)
`J.
American Statist. Assoc.', {95}, 12691276.
 Objective Bayesian methods for model
selection: introduction and comparison [with discussion].
Later version appeared as: Berger, J. and Pericchi, L. (2001)
In `Model Selection' (P.Lahiri, editor), Institute of Mathematical Statistics
Lecture Notes  Monograph Series volume 38.
 Could Fisher, Jeffreys and Neyman
have agreed upon testing?
Berger, J. (2003)
`Statistical Science' (18) 132.
 The interplay between Bayesian
and frequentist analysis.
Bayarri, M.J. and Berger, J.
(2004)
`Statistical Science', {19}, 5880.
 The case for objective Bayesian analysis (with discussion).
Later version appeared as: Berger, J. (2006)
`Bayesian Analysis', {1}, 385402.
MODEL SELECTION AND HYPOTHESIS TESTING
OBJECTIVE BAYESIAN MODEL SELECTION AND TESTING
 Ockham's razor and Bayesian analysis.
Later version appeared as: Jefferys, W. and Berger, J. (1992)
`American Scientist' , { 80}, 6472.
 The intrinsic Bayes factor for model
selection and prediction.
Later version appeared as: Berger, J. and Pericchi, L. (1996)
'J.Amer. Statist. Assoc.' , { 91}, 109122.
 On the justification of default and
intrinsic Bayes factors.
Later version appeared as: Berger, J. and Pericchi, L. (1996)
In `Modeling and Prediction' , J. C. Lee, et. al. (Eds.), 276293.
SpringerVerlag, New York.
 The intrinsic Bayes factor for linear
models.
Later version appeared as: Berger, J. and Pericchi, L. (1996)
`Bayesian Statistics V' , J.M. Bernardo, et. al. (Eds.), 2342,
Oxford University Press, Oxford.
 Bayes factors and marginal distributions
in invariant situations.
Later version appeared as: Berger, J., Pericchi, L, and
Varshavsky, J. (1998)
` Sankhya A' (60), 307321.
 Default Bayes factors for nonnested
hypothesis testing.
Later version appeared as: Berger, J. and Mortera, J. (1999)
`J. Amer. Statist. Assoc.', {94}, 542554.
 Accurate and stable Bayesian model
selection: the median intrinsic Bayes factor.
Later version appeared as: Berger, J. and Pericchi, L. (1998)
`Sankhya B' {60}, 118.
 Bayesian testing of a parametric model
versus nonparametric alternatives.
Later version appeared as: Berger, J. and Guglielmi, A. (2001)
`J. American Statistical Assoc.' {96}, 174184.
 Expected posterior prior distributions for
model selection.
Later version appeared as: Perez, J.M. and Berger, J. (2002)
`Biometrika' {89}, 491512.
 Objective Bayesian methods for model
selection: introduction and comparison [with discussion].
Later version appeared as: Berger, J. and Pericchi, L. (2001)
In `Model Selection' (P.Lahiri, editor), Institute of Mathematical Statistics
Lecture Notes  Monograph Series volume 38, Beachwood Ohio, 135207.
 Approximation and consistency of Bayes factors
as model dimension grows.
Later version appeared as
Berger, J., Ghosh, J.K., and Mukhopadhyay, N. (2003)
`Journal of Statistical Planning and Inference' {112}, 241258.

Bayesian model selection and analysis for Cepheid star oscillations.
Later version appeared as: Berger, J., Jefferys, W., Müller, P. and
Barnes, T. (2001).
In `Statistical Challenges in
Modern Astronomy III,' G. H. Babu and E. D. Feigelson (Eds.).
Springer, New York.
 Optimal predictive model selection.
Barbieri, M. and Berger, J. (2004),
`Annals of Statistics' {32}, 870897.
 Training samples in objective Bayesian
model selection.
Berger, J.O. and Pericchi, L.R. (2004),
`Annals of Statistics' {32}, 841869.
 An exploration of aspects of
Bayesian multiple testing.
Later version appeared as
Scott, J., and Berger, J. (2005).
' Journal of Statistical Planning and Inference' {136}, 21442162.
 Posterior model
probabilities via pathbased pairwise priors.
Later version appeared as
Berger, J. and Molina, G. (2005)
'Statistica Neerlandica', 59, 315.
 Some
Mixtures of gpriors for Bayesian variable selection.
Later version appeared as
Liang, F., Paulo, R., Molina, G., Clyde, M. and Berger, J. (2008).
'J.
American Statist. Assoc.', 103, 410423.
 Objective Bayes testing of Poisson versus inflated Poisson
models.
Later version appeared as: Bayarri, M.J., Berger, J. and Datta, G.S. (2008),
in 'Pushing the Limits of Contemporary
Statistics: Contributions in Honor of Jayanta K. Ghosh',
B. Clarke and S. Ghosal (Editors), Institute of Mathematical Statistics
Collections, Vol. {3}, 105121.
 Bayes and EmpiricalBayes multiplicity
adjustment in the variableselection problem.
Scott, J. and Berger, J. (2010).
`Annals of Statistics' (38) 25872619.
CONSTRUCTION AND CALIBRATION OF PVALUES
 Testing precise hypotheses (with
Discussion).
Berger, J. and Delampady, M. (1987).
`Statistical Science', {2}, 317352.

Lower bounds on posterior
probabilities for multinomial and chisquared tests.
Delampady, M. and Berger, J. (1990).
`Annals of Statistics' (18), 12951316.
 Quantifying surprise in the data and model
verification [with discussion].
Later version appeared as: Bayarri, M.J. and Berger, J. (1998)
In `Bayesian Statistics 6,' J.M. Bernardo, et.al., eds., 5382,
Oxford University Press, Oxford.
 Pvalues for composite null models
[with discussion].
Later version appeared as: Bayarri, M.J. and Berger, J. (2000)
`J. American Statist. Assoc.' (95), 11271142.
 Calibration of Pvalues for testing
precise null hypotheses.
Later version appeared as: Sellke, T., Bayarri, M.J. and Berger, J. (2001)
`The American Statistician' (55), 6271.
CONDITIONAL FREQUENTIST TESTING
 A unified conditional frequentist and
Bayesian test for fixed and sequential hypothesis testing.
Berger, J., Brown, L. and
Wolpert, R. (1994)
`Annals of Statistics' { 22}, 17871807.
 Unified frequentist and Bayesian
testing of a precise hypothesis [with discussion].
Berger, J., Boukai, B. and
Wang, Y. (1997)
`Statistical Science' { 12}, 133160.
 Properties of unified
Bayesianfrequentist tests.
Later version appeared as: Berger, J., Boukai, B. and
Wang, Y. (1997)
In `Advances in Statistical Decision Theory and Applications',
S. Panchapakesan and N. Balakrishnan (Eds.), 207223. Birkhauser, Boston.
 Simultaneous Bayesianfrequentist
sequential testing of nested hypotheses.
Later version appeared as: Berger, J., Boukai, B. and Wang, Y. (1999)
`Biometrika' {86}, 7992.
 Unified Bayesian and conditional frequentist
testing of composite hypotheses.
Later version appeared as:
Dass, S. and Berger, J. (2003).
'Scandinavian
Journal of Statistics', {30}, 193210.
 Approximation and consistency of Bayes factors
as model dimension grows.
Later version appeared as
Berger, J., Ghosh, J.K., and Mukhopadhyay, N. (2003)
`Journal of Statistical Planning and Inference' (112), 241258.
 Could Fisher, Jeffreys and Neyman
have agreed upon testing?
Berger, J. (2003)
`Statistical Science' (18) 132.
INTERFACES BETWEEN STATISTICAL PARADIGMS
 Integrated likelihood methods for
eliminating nuisance parameters (with discussion).
Berger, J., Liseo, B. and
Wolpert, R. (1999)
`Statistical Science' {14}, 128.
 Could Fisher, Jeffreys and Neyman
have agreed upon testing?
Berger, J. (2003)
`Statistical Science' (18) 132.
 The interplay between Bayesian
and frequentist analysis.
Bayarri, M.J. and Berger, J.
(2004)
`Statistical Science', {19}, 5880.
BAYESFREQUENTIST INTERFACES IN CHOICE OF PRIORS
 A robust generalized Bayes estimator and
confidence region for a multivariate normal mean.
Berger, J. (1980).
`Annals of Statistics' (8), 716761.
 Subjective hierarchical Bayes estimation of a multivariate
normal mean: on the frequentist interface.
Berger, J. and Robert, C. (1990).
`Annals of Statistics', {18}, 617651.
 Estimation of a covariance matrix
using the reference prior.
Yang, R. and Berger, J. (1994).
`Annals of Statistics', { 22}, 11951211
 Choice of hierarchical priors:
admissibility in estimation of normal means.
Berger, J. and Strawderman, W. E.
(1996)
`Annals of Statistics', { 24}, 931951.
 Estimation of quadratic functions:
noninformative priors for noncentrality parameters.
Later version appeared as: Berger, J., Philippe, A., and
Robert, C. (1998)
` Statistica Sinica'(8), 359376.

Intervals for posttest
probabilities: a comparison of five methods.
Later version appeared as: Mossman, D. and Berger, J. (2001).
'Medical Decision
Making,' {21}, 498507.
 Posterior propriety and admissibility
of hyperpriors in normal hierarchical models.
Berger, J., Strawderman, W. E., and Tang, D. (2005)
`Annals of Statistics' (33) 606646.
 The case for objective Bayesian analysis (with discussion).
Later version appeared as: Berger, J. (2006)
`Bayesian Analysis', {1}, 385402.
 Objective priors for a bivariate normal model
with multivariate generalizations.
Berger, J. and Sun, D. (2008).
`Annals of Statistics' (36) 963982.
 Objective Bayesian analysis for the multivariate normal model.
Later version appeared as: Sun, D. and Berger, J. (2007).
`Bayesian Statistics 8', J.M. Bernardo, et. al. (Eds.), 525547,
Oxford University Press, Oxford.
CHOICE OF OBJECTIVE PRIORS
 On the development of the reference prior method.
Later version appeared as: Berger, J. and Bernardo, J. (1992).
`Bayesian Statistics 4', J.M. Bernardo, et. al. (Eds.), 3560,
Oxford University Press, Oxford.
 Estimation of a covariance matrix
using the reference prior.
Yang, R. and Berger, J. (1994).
`Annals of Statistics', { 22}, 11951211
 Choice of hierarchical priors:
admissibility in estimation of normal means.
Berger, J. and Strawderman, W. E.
(1996)
`Annals of Statistics', { 24}, 931951.
 Estimation of quadratic functions:
noninformative priors for noncentrality parameters.
Later version appeared as: Berger, J., Philippe, A., and
Robert, C. (1998)
` Statistica Sinica'(8), 359376.
 Reference priors with partial
information.
Later version appeared as:
Sun, D. and Berger, J. (1998)
` Biometrika'(85), 5571 .
 A catalog of noninformative priors.
Yang, R. and Berger, J. (1997)
` ISDS Discussion Paper 9742'.
 Objective Bayesian analysis of spatially
correlated data.
Later version appeared as:
Berger, J., De Oliveira, V. and Sanso, B. (2001)
`J. American Statistical Assoc.' {96}, 13611374.
 Analysis of mixture models using expected
posterior priors, with application to classification of gamma ray bursts.
Later version appeared as Perez, J.M. and Berger, J. (2001)
in `Bayesian Methods, with applications to science, policy
and official statistics,'
E. George and P. Nanopoulos, eds., Official Publications of
the European Communities, Luxembourg, 401410.
 Posterior propriety and admissibility
of hyperpriors in normal hierarchical models.
Berger, J., Strawderman, W. E., and Tang, D. (2005)
`Annals of Statistics' (33) 606646.
 Some
Mixtures of gpriors for Bayesian variable selection.
Later version appeared as
Liang, F., Paulo, R., Molina, G., Clyde, M. and Berger, J. (2008).
'J.
American Statist. Assoc.', 103, 410423.
 The case for objective Bayesian analysis (with discussion).
Later version appeared as: Berger, J. (2006)
`Bayesian Analysis', {1}, 385402.
 Objective priors for a bivariate normal model
with multivariate generalizations.
Berger, J. and Sun, D. (2008).
`Annals of Statistics' (36) 963982.
 Objective Bayesian analysis for the multivariate normal model.
Later version appeared as: Sun, D. and Berger, J. (2007).
`Bayesian Statistics 8', J.M. Bernardo, et. al. (Eds.), 525547,
Oxford University Press, Oxford.
 The formal
definition of reference priors.
Berger, J, Bernardo, J. and Sun, D. (2009).
`Annals of Statistics' (37) 905938.
 Objective Bayesian analysis under
sequential experimentation.
Later version appeared as: Sun, D. and Berger, J. (2008),
in 'Pushing the Limits of Contemporary
Statistics: Contributions in Honor of Jayanta K. Ghosh',
B. Clarke and S. Ghosal (Editors), Institute of Mathematical Statistics
Collections, Vol. {3}, 1932.
 Reference priors for discrete parameter spaces.
Berger, J, Bernardo, J. and Sun, D. (2008).
Technical Report.
NONPARAMETRIC BAYES
 Bayesian testing of a parametric model
versus nonparametric alternatives.
Later version appeared as: Berger, J. and Guglielmi, A. (2001)
`J. American Statistical Assoc.' (96), 174184.

Semiparametric Bayesian analysis of selection models
Later version appeared as:
Lee, J. and Berger, J. (1999).
'J. American Statistical Assoc.'
{96}, 13971409.
 See also COMPUTER MODELING PAPERS
ROBUST BAYESIAN ANALYSIS
 A robust generalized Bayes estimator and
confidence region for a multivariate normal mean.
Berger, J. (1980).
`Annals of Statistics' (8), 716761.
 Robust Bayes and empirical
Bayes analysis with &epsilon contaminated priors.
Berger, J. and Berliner, L. M. (1986).
`Annals of Statistics' (14), 461486
 Ranges of posterior measures
for priors with unimodal contaminations.
Sivaganesan, S. and Berger, J. (1989).
`Annals of Statistics' (17), 868889.

Lower bounds on posterior
probabilities for multinomial and chisquared tests.
Delampady, M. and Berger, J. (1990).
`Annals of Statistics' (18), 12951316.
 Exact convolution of tdistributions, with
application to Bayesian inference for a normal mean with
t prior distributions.
Later version appeared as: Fan, T. H. and Berger, J. (1990).
`J. Statist. Computation and Simulation, {36},
209228.
 Behavior of the posterior distribution and inferences
for a normal mean with $t$ prior distributions.
Later version appeared as: Fan, T. H. and Berger, J. (1991).
`Statistics and Decisions' {10}, 99120.
 Bayesian analysis with limited communication.
Later version appeared as: Berger, J. and Mortera, J. (1991).
`J. Statist. Planning and Inference', {28}, 124.
 Ockham's razor and Bayesian analysis.
Later version appeared as: Jefferys, W. and Berger, J. (1992)
`American Scientist', {80}, 6472.
 An overview of robust Bayesian analysis
[with Discussion].
Later version appeared as: Berger, J. (1994)
`Test' , {3}, 5124.
 Approximation of
Bayes decision problems: the epigraphical approach.
Later version appeared as: Berger, J. and Salinetti, G. (1995).
Ann. Operations Research, {56}, 113.
 Robust Bayesian displays for standard inferences
concerning a normal mean.
Later version appeared as Fan, T. H. and Berger, J. (2000)
`Computational
Statistics and Data Analysis', {33}, 381399.
 Robust Bayesian analysis of selection
models.
Bayarri, M. J. and Berger, J. (1998)
`Annals of Statistics' (26), 645659.
 Calibration of Pvalues for testing
precise null hypotheses.
Later version appeared as: Sellke, T., Bayarri, M.J. and Berger, J. (2001)
`The American Statistician' (55), 6271.
 Bayesian testing of a parametric model
versus nonparametric alternatives.
Later version appeared as: Berger, J. and Guglielmi, A. (2001)
`J. American Statistical Assoc.' (96), 174184.
INTERDISCIPLINARY
 Bayesian estimation of fuel economy potential
due to technology improvements.
Later version appeared as: Andrews, R., Berger, J. and Smith, M. (1993)
In `Case Studies in Bayesian Statistics', (C. Gatsonis, et.al., Eds.),
pp. 177. SpringerVerlag, New York.
 Some recent developments in Bayesian
analysis, with astronomical illustrations [with discussion].
Later version appeared as: Berger, J. (1997)
In `Statistical Challenges in Modern Astronomy II', G. H. Babu and
E. D. Feigelson (Eds.), 1539. Springer, New York.
 Recent developments in Bayesian inference with
applications in hydrology.
Later version appeared as: Berger, J. and Rios Insua, D. (1998)
In `Statistical and Bayesian Methods in Hydrological Sciences',
E. Parent, et.al (Eds.), 4362. UNESCO Press, Paris.

Spacetime modeling of vertical ozone profiles.
Later version appeared as
Lee, J. and Berger, J. (2003)
`Environmetrics' (14) 617639.

Bayesian model selection and analysis for Cepheid star oscillations.
Later version appeared as: Berger, J., Jefferys, W., Müller, P. and
Barnes, T. (2001).
In `Statistical Challenges in
Modern Astronomy III,' G. H. Babu and E. D. Feigelson (Eds.).
Springer, New York.

A Bayesian analysis of the Cepheid distance scale.
Later version appeared as Barnes III, T., Jefferys, W.,
Berger, J., Müller, P., Orr, K., and Rodriguez, R. (2003).
`The Astrophysical Journal' (592) 539554.

A statistician's perspective on astrostatistics.
Later version appeared as: Berger, J. (2007).
In `Statistical Challenges in
Modern Astronomy IV,' G. H. Babu and E. D. Feigelson (Eds.), 373381.
Springer, New York.

A comparison of testing methodologies.
Later version appeared as: Berger, J. (2008).
In the proceedings of the
PHYSTATLHC Workshop on Statistical Issues for LHC Physics, June 2007,
CERN 2008001, pp. 819.
COMPUTER MODELING

Statistical foundations for the validation of computer models.
Later version appeared as: Easterling, R.G. and Berger, J. O. (2002).
In `Proceedings of the Workshop on Foundations for V&V in the
21st Century,' D. Pace and S. Stevenson (Eds.). Society for
Modeling and Simulation International.

Statistical inverse analysis for a network microsimulator
Later version appeared as:
Molina, G., Bayarri, M.J., and Berger, J. (2005)
'Technometrics', 47, 388398.

A framework for validation of computer models
Later version appeared as: M.J. Bayarri, J.O. Berger, D. Higdon, M.C. Kennedy, A. Kottas, R. Paulo, J. Sacks,
J.A. Cafeo, J. Cavendish, C.H. Lin, and J. Tu (2007).
'Technometrics', 49, 138154.

Predicting Vehicle Crashworthiness: Validation of Computer Models for Functional and Hierarchical Data.
Later version appeared as: Bayarri, M.J., Berger, J., Kennedy, M., Kottas, A., Paulo, R., Sacks, J., Cafeo, J., Lin, C., and
Tu, J. (2009).
'Journal of the American Statistical Association', 104, 929943.
 Computer model validation with functional output.
Bayarri, M.J., Berger, J., GarciaDonato, G., Liu, F., Palomo, J., Paulo,
R., Sacks, J., Walsh, D., Cafeo,J., and Parthasarathy, R. (2007).
`Annals of Statistics' (35) 18741906.

A Bayesian analysis of the thermal challenge problem.
Later version appeared as: Liu, F., Bayarri, M.J., Berger, J., Paulo, R. and Sacks,
J. (2008).
'Computer Methods in Applied Mechanics and
Engineering', {197}, 24572466.

Using statistical and computer
models to quantify volcanic hazards.
Later version appeared as: Bayarri, M.J., Berger, J.O., Calder, E.S.,
Dalbey, K. Lunagomez, S. Patra, A.K., Pitman,
E.B., Spiller, E.T., Wolpert, R.L. (2009).
'Technometrics', 51, 402413.

Modularization in Bayesian analysis,
with emphasis on analysis of computer models.
Later version appeared as: Liu, F., Bayarri, M.J., and Berger, J. (2009).
'Bayesian Analysis', 4, 119150.