- Evans, M. and Fraser, D.A.S. (1980) An optimal tolerance region for multivariate regression. J. Mult. Anal. Vol. 10, No. 2, 268-272.
- Evans, M. (1980) $\gamma$-Confidence tolerance regions. Canad. J. Statist. Vol. 8, No. 1, 79-85.
- Evans, M. (1982) Confidence bands for bivariate quantiles. Commun. Statist. Theor. Meth. 11 (13), 1465-1474.
- Evans, M., Massam, H. and Fraser, D.A.S. (1982) The Weibull model, objective form and linear analysis. Statistische Hefte, 23, 110-115.
- Evans, M. (1983) Estimating events. Ann. Statist. Vol. 14, No. 4, 1218-1224.
- Brenner, D., Evans, M.; Massam, H; Fraser, D.A.S. and Rost, E. (1984) Identification of distribution form II, Statistiche Hefte, 25, 61-68.
- Evans, M., Fraser, D.A.S. and Monette, G. (1985) Mixtures, embedding and ancillarity, Canad. J. Statist., {13}, 1, 1-6.
- Evans, M., Fraser, D.A.S. and Monette, G. (1980) On regularity for statistical models. Canad. J. Statist., {13}, 2, 137-144, 1985.
- Evans, M.; Fraser, D.A.S. and Monette, G. (1985) On the role of principles in statistical inference, in statistical theory and data analysis, K. Matusita, ed., Proceedings of the Pacific Area Statistical Conference, North Holland Publishing Co., 225-231.
- Evans, M. (1986) Moments of coverage of a random ellipsoid, Ann. Inst. Statist. Math., {38}, 1-11.
- Evans, M., Fraser, D.A.S. and Monette, G. (1986) On principles and arguments to likelihood - with discussion. Canad. J. of Statist. {14}, 3, 181-199.
- Evans, M., Govindarajulu, Z. and Barthoulot, J. (1987) Estimates of circular error probabilities. Naval Research Logistics Quarterly, {34}, 87-100.
- Evans, M., Fraser, D.A.S. and Monette, G. (1987) Statistical principles and tangent models. Proceedings of the Symposium in Statistics and Festschrift in Honour of V.M. Joshi, I.B. MacNeill and G.J. Umphrey (eds), Foundations of Statistical Inference, 21-29, D. Reidel Pub. Co.
- Draper, N., Evans, M. and Guttman, I. (1988) A Bayesian approach to system reliability when two components are dependent. Comput. Stat. and Data Anal. {7}, 39-49.
- Evans, M. and Swartz, T. (1988) Monte Carlo computation of some multivariate normal probabilities. J. of Stat. Comput. and Simul. Vol. 30, 117-128.
- Evans, M. and Swartz, T., (1988) Sampling from Gauss rules. SIAM J. of Sci. and Stat. Comput. Vol. 9, No. 5, 950-961.
- Evans, M. (1989) An example concerning the likelihood function. Stat. and Prob. Letters, Vol. 7, No. 5, 417-418.
- Evans, M., Gilula, Z. and Guttman, I. (1989) Latent class analysis of two-way contingency tables by Bayesian methods. Biometrika, 76, 557-563.
- Evans, M. (1991) Chaining via annealing. Ann. Statist., 19, 1, 382-393.
- Evans, M. (1991) Adaptive importance sampling and chaining. Contemporary Mathematics, 115, Statistical Multiple Integration, 137-143. Amer. Math. Soc.
- Evans, M. and Swartz, T. (1992) Some strategies for integration problems in statistical inference. Invited paper. Proceedings of the 24th Symposium on the Interface, College Station, Texas, March 18-21, 310-317.
- Evans, M., Gilula, Z. and Guttman, I. (1993) Computational issues in the Bayesian analysis of categorical data : loglinear and Goodman's RC model. Statistica Sinica, 3, 391-406.
- Evans, M., Guttman, I. and Olkin, I. (1993) Numerical aspects in estimating the parameters of a mixture of normal distributions. J. Comp. and Stat. Graph., Vol. 1, 4, 351-365.
- Evans, M. and Swartz, T. (1994) Distribution theory and inference for polynomial-normal density functions. Commun. Statist. Theor. Meth., 23(4), 1123-1148.
- Evans, M. and Swartz, T. (1995) Bayesian integration using multivariate Student importance sampling. Invited paper. Computing Science and Statistics, 27, eds. M.M. Meyer and J.L. Rosenberger, Interface Foundation of North America, Inc., Fairfax, Station, VA 22039-7460, 456-461.
- Evans, M. and Swartz, T. ( 1996) Methods for approximating integrals in statistics with special emphasis on Bayesian integration problems - with discussion. Statistical Science, Vol. 10, No. 3, 254-272, 1995. Discussion in Statistical Science Vol. 11, No. 1, p. 54-64.
- Evans, M., Guttman, I., Haitovsky, Y. and Swartz, T. (1996) Bayesian analysis of binary data subject to misclassification. Bayesian Statistics and Econometrics : Essays in Honor of Arnold Zellner. Edited by D. Berry, K. Chaloner and J. Geweke, 67-77.
- Evans, M., Gilula, Z., Guttman, I., and Swartz, T. (1997) Bayesian analysis of stochastically ordered distributions of categorical variables. JASA, Vol. 92, No. 437, 208-214.
- Evans, M. (1997) Bayesian inference procedures derived via the concept of relative surprise. Commun. Statist.-Theory And Methods, Vol. 26, No. 5, 1125-1143. paper
- Evans, M. and Swartz, T. (1998) Random variable generation using concavity properties of transformed densities. Journal of Computational and Graphical Statistics, Vol. 7, No. 4, 514-528.
- Evans, M. (1999) Comment on a paper of Bayarri and Berger in the Proceedings of Valencia 6.
- Evans, M. (2000) Invited discussion of "On the probability of observing misleading statistical evidence" by R. Royall. JASA, September 2000, 768-769.
- Evans, M. (2000) Invited discussion of " P-values for composite models" by M.J. Bayarri and J.O. Berger and "The asymptotic distribution of P-values in composite null models" by J.M. Robins, A. van der Vaart and V. Ventura, JASA, 1160-1163.
- Evans, M. and Swartz, T.B. (2000). Simulation from non-standard distributions using envelope methods. Proceedings of the 2000 Winter Simulation Conference, J. Joines and R. Barton, editors, Piscataway, New Jersey: The Institute of Electrical and Electronics Engineers.
- Evans, M. (2001) Numerical Integration. Encyclopaedia of Environmetrics, eds., A. H. El-Shaarawi and W. W. Piegorsch, John Wiley and Sons.
- Evans, M. and Swartz, T. (2001) Stratified sampling with spherically symmetric importance samplers. Data Analysis from Statistical Foundations - A Festchrift in honour of the 75th birthday of D.A.S. Fraser, ed. A.K. Md.E. Saleh, Nova Science Publishers, Inc., Huntington, New York, 245-256.
- Evans, M. and Zou, T. (2002) Robustness of relative surprise inferences to choice of prior. Recent Advances in Statistical Methods, Proceedings of Statistics 2001 Canada: The 4th Conference in Applied Statistics Montreal, Canada 6 - 8 July 2001, Yogendra P. Chaubey (ed.), 90-115, Imperial College Press.
- Evans, M. (2003) Invited Comment on "A theory of statistical models for Monte Carlo integration" by Kong, Mcullagh, Meng, Nicolae and Tan. JRSSB, Vol. 65, Part 3, 604-606.
- Evans, M., Guttman, I. and Swartz, T. (2006) Optimality and computations for relative surprise inferences. Canadian Journal of Statistics., Vol. 34, No. 1, 113-129. paper
- Evans, M. and Moshonov, H. (2006) Checking for prior-data conflict. Bayesian Analysis, Volume 1, Number 4, 893-914. paper
- Evans, M. and Moshonov, H., (2007) Checking for prior-data conflict with hierarchically specified priors. Bayesian Statistics and its Applications, eds. A.K. Upadhyay, U. Singh, D. Dey, Anamaya Publishers, New Delhi, 145-159. paper
- Evans, M. (2007) Invited discussion of "Nested sampling for Bayesian computations" by John Skilling. Bayesian Statistics 8, Proceedings of the Eighth Valencia International Meeting, June 2-6, 2006, eds Bernardo, J.M., Bayarri, M.J., Berger, J.O., Dawid, A.P., Heckerman, D., Smith, A.F.M. and West, M., 507-512. paper
- Evans (2007) Comment: Bayesian Checking of the second levels of hierarchical models. by Bayarri and Castellanos in Statistical Science, 22, 3, 344-348. paper
- Evans, M. and Shakhatreh, M. (2008). Optimal properties of some Bayesian inferences. Electronic Journal of Statistics, Vol. 2, 1268-1280. paper
- Seok, S-C., Evans,M. and Vieland, V.J. (2009) Fast and accurate calculation of a computationally intensive statistic for mapping disease genes. Journal of Computational Biology. May 2009, 16(5): 659-676.
- Evans, M. and Jang, G-H. (2010) Invariant P-values for model checking. Annals of Statistics, 2010, Vol. 38, No. 1, 312-323. paper
- Evans, M. and Jang, G-H. (2011) Inferences from prior-based loss functions. Technical Report No. 1104, Dept. of Statistics, U. of Toronto. paper
- Evans, M. and Jang, G-H. (2011). Weak informativity and the information in one prior relative to another. Statistical Science, Vol. 26, No. 3, 423-439. paper
- Evans, M. and Jang, G-H. (2011) A limit result for the prior predictive applied to checking for prior-data conflict. Statistics and Probability Letters, 81, 1034-1038. paper
- Baskurt, Z. and Evans, M. (2012) Bayesian hypothesis assessment using the Bayes factor and the method of concentration.
Some Recent Advances in Mathematics and Statistics,
Proceedings of Statistics 2011Canada/IMST 2011-FIM XX Montreal, Canada 1-4 July 2011, Editor Y.P. Chaubey, World Scientific, 1-15. paper
- Evans, M. Gilula, Z. and Guttman, I. (2012) An inferential approach to collapsing scales. Quantitative Marketing and Economics, 10:283-304. paper
- Baskurt, Z. and Evans, M. (2013) Hypothesis assessment and inequalities for Bayes factors and relative belief ratios. Bayesian Analysis, 8, 3, 569-590. paper
- Evans, M. (2013) What does the proof of Birnbaum's theorem prove? Electronic Journal of Statistics, Volume 7, 2645-2655. paper
- Evans, M. and Shakhatreh. M. (2014) Consistency of Bayesian estimates for the sum of squared normal means with a normal prior. Sankhya A, The Indian Journal of Statistics,76, 1, 25-47. paper
- Evans, M. (2014) Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle" by D. Mayo. Statistical Science, Vol. 29, No. 2, 242-246. paper
- Evans, M. (2014) Objectivity, subjectivity and statistical evidence. Interdiciplinary Journal of Health Sciences, Volume 4, issue 1: Special Issue on Statistics and Health (Invited Guest Contribution). paper
- Cao, Y., Evans, M. and Guttman, I. (2015) Bayesian factor analysis via concentration.
Current Trends in Bayesian Methodology with Applications, edited by Satyanshu Kumar Upadhyay, Umesh Singh, Dipak K. Dey and Appaia Loganathan, 181-201, CRC Press, Taylor & Francis Group. paper
- Muthukumarana, S. and Evans, M. (2015) Bayesian hypothesis assessment in
Two-arm trials using relative belief ratios.
Pharmaceutical Statistics, 14(6), 471-478. paper
- Evans, M. (2015) A theory of inference based upon a measure of statistical
evidence. Indian Bayesian Society Newsletter, Vol. XII, No. 2, Nov., 3-7, 2015.
- Evans, M. (2016) Measuring statistical evidence using relative belief.
Computational and Structural Biotechnology Journal, 14, 91-96, PubMed Central version.
- Al-Labadi, L. and Evans, M. (2017) Optimal robustness results for some
Bayesian procedures and the relationship to prior-data conflict.
Bayesian Analysis 12, 3, 702-728, 2017.
- Evans, M., Guttman, I. and Li, P. (2017) Prior elicitation, assessment
and inference with a Dirichlet prior.
Entropy 2017, 19(10), 564; doi:10.3390/e1910056.
Entropy 2017, 19(10), 564; doi:10.3390/e1910056.,
software.
- Al-Labadi, L., Baskurt, Z and Evans, M. (2017) Goodness of fit for the
logistic regression model using relative belief.
Journal of Statistical Distributions and Applications, 4:17
doi.org/10.1186/s40488-017-0070-7.
- Nott, D., Drovandi, C., Mengersen, K. and Evans, M. (2018)
Approximation of Bayesian predictive p-values with
regression ABC.
Bayesian Analysis 13, 1, 59-83.
- Wang, X., Nott, D. J., Drovandi, C. C., Mengersen, K. and Evans, M. (2018) Using History Matching for Prior Choice, Technometrics, 60:4, 445-460, DOI: 10.1080/00401706.2017.1421587
arXiv:1605.08860
paper
- Al-Labadi, L. and Evans, M. (2018) Prior-based model checking.
Canadian Journal of Statistics,46, 3, 380-398, doi.org/10.1002/cjs.11457.
arXiv:1606.08106
- Evans, M. and Tomal, J. (2018) Multiple testing via relative belief ratios.
FACETS, 3: 563-583, DOI: 10.1139/facets-2017-0121.
paper,
pdf.
- Nott,D., Wang, X., Evans, M., and Englert, B-G. (2020) Checking for
prior-data conflict using prior to posterior divergences.
Statistical Science, 35, 2, 234-253.
paper,
(arXiv:1611.00113 preprint).
- Al-Labadi, L., Baskurt, Z and Evans, M. (2018)
Statistical reasoning: choosing and checking the ingredients,
inferences based on a measure of statistical evidence with some
applications.
Entropy 2018, 20(4), 289; doi:10.3390/e20040289. Part of a Special Issue on the Foundations of Statistics.
paper
- Englert, B-G., Evans, M., Jang, G-H., Ng, H-K., Nott, D. and Seah Y-L.
(2018) Checking the model and the prior for the constrained multinomial.
arXiv:1804.06906
- Gu, Y., Li, W. Evans, M. and Englert, B-G. (2019)
Very strong evidence in favor of quantum mechanics and against local
hidden variables from a Bayesian analysis.
arXiv:1808.06863,
Physical Review A 99, 022112 (1-17) (2019) (DOI: 10.1103/PhysRevA.99.022112)
- Nott, D.J., Seah, M., Al-Labadi, L., Evans, M., Ng, H.K., and
Englert, B-G. (2019) Using prior expansions for prior-data conflict checking.
arXiv:1902.10393
To appear in Bayesian Analysis.
- Evans, M. and Guo, Y. (2019) Measuring and controlling bias for some
Bayesian inferences and the relation to frequentist criteria.
arXiv:1903.01696

Here is a 10 minute video of a talk on this at Bernoulli-IMS One World Symposium August 2020. - Evans, M. (2020) The measurement of statistical evidence as the basis for statistical reasoning. Proceedings of the 5th International Electronic Conference on Entropy and Its Applications. 18--30 Nov 2019. paper