References
- Benjamin, D. J., Berger, J. O., Johannesson, M., Nosek, B. A., Wagenmakers, E. J., Berk, R., Bollen, K. A., Brembs, B., Brown, L., Camerer, C., and Cesarini, D. (2018), “Redefine Statistical Significance,” Nature Human Behaviour, 2, 6–10. DOI: https://doi.org/10.1038/s41562-017-0189-z.
- Berger, J. O., and Delampady, M. (1987), “Testing Precise Hypotheses,” Statistical Science, 2, 317–335. DOI: https://doi.org/10.1214/ss/1177013238.
- Berger, J. O., and Sellke, T. (1987), “Testing a Point Null Hypothesis: The Irreconcilability of p Values and Evidence,” Journal of the American Statistical Association, 82, 112–122. DOI: https://doi.org/10.2307/2289131.
- Box, G. E., and Tiao, G. C. (1973/1992), Bayesian Inference in Statistical Analysis, New York: Wiley.
- Casella, G., and Berger, R. L. (1987), “Reconciling Bayesian and Frequentist Evidence in the One-Sided Testing Problem,” Journal of the American Statistical Association, 82, 106–111. DOI: https://doi.org/10.1080/01621459.1987.10478396.
- Diananda, P. (1949), “Note on Some Properties of Maximum Likelihood Estimates,” Mathematical Proceedings of the Cambridge Philosophical Society, 45, 536–544. DOI: https://doi.org/10.1017/S0305004100025238.
- Edwards, W., Lindman, H., and Savage, L. J. (1963), “Bayesian Statistical Inference for Psychological Research,” Psychological Review, 70, 193–242. DOI: https://doi.org/10.1037/h0044139.
- Goodman, I. R., and Kotz, S. (1973), “Multivariate θ-Generalized Normal Distributions,” Journal of Multivariate Analysis, 3, 204–219. DOI: https://doi.org/10.1016/0047-259X(73)90023-7.
- Held, L., and Ott, M. (2016), “How the Maximal Evidence of p-Values Against Point Null Hypotheses Depends on Sample Size,” The American Statistician, 70, 335–341. DOI: https://doi.org/10.1080/00031305.2016.1209128.
- Jeffreys, H. (1939), Theory of Probability, Oxford: The Clarendon Press.
- Kass, R. E., and Raftery, A. E. (1995), “Bayes Factors,” Journal of the American Statistical Association, 90, 773–795. DOI: https://doi.org/10.1080/01621459.1995.10476572.
- Kline, B. (2011), “The Bayesian and Frequentist Approaches to Testing a One-Sided Hypothesis About a Multivariate Mean,” Journal of Statistical Planning and Inference, 141, 3131–3141. DOI: https://doi.org/10.1016/j.jspi.2011.03.034.
- Kline, B., and Tamer, E. (2016), “Bayesian Inference in a Class of Partially Identified Models,” Quantitative Economics, 7, 329–366. DOI: https://doi.org/10.3982/QE399.
- Lindley, D. V. (1957), “A Statistical Paradox,” Biometrika, 44, 187–192. DOI: https://doi.org/10.1093/biomet/44.1-2.187.
- Moon, H. R., and Schorfheide, F. (2012), “Bayesian and Frequentist Inference in Partially Identified Models,” Econometrica, 80, 755–782.
- Park, T., and Casella, G. (2008), “The Bayesian Lasso,” Journal of the American Statistical Association, 103, 681–686. DOI: https://doi.org/10.1198/016214508000000337.
- Sellke, T., Bayarri, M., and Berger, J. O. (2001), “Calibration of p Values for Testing Precise Null Hypotheses,” The American Statistician, 55, 62–71. DOI: https://doi.org/10.1198/000313001300339950.
- Tibshirani, R. (1996), “Regression Shrinkage and Selection via the Lasso,” Journal of the Royal Statistical Society, Series B, 58, 267–288. DOI: https://doi.org/10.1111/j.2517-6161.1996.tb02080.x.
- Wasserstein, R. L., and Lazar, N. A. (2016), “The ASA’s Statement on p-Values: Context, Process, and Purpose,” The American Statistician, 70, 129–133. DOI: https://doi.org/10.1080/00031305.2016.1154108.