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Theory and Method

Lower Bounds on Bayes Factors for Interval Null Hypotheses

Pages 120-124 | Received 01 Feb 1987, Published online: 12 Mar 2012

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Parisa Zolfaghari, Rahim Chinipardaz & Jafar Esmaily. (2023) The numerical reconcilability of Bayesian measure and p-value in interval hypotheses is not possible in general. Communications in Statistics - Theory and Methods 52:4, pages 1178-1189.
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Russell J. Bowater & Ludmila E. Guzmán-Pantoja. (2019) Bayesian, classical and hybrid methods of inference when one parameter value is special. Journal of Applied Statistics 46:8, pages 1417-1437.
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Rahim Chinipardaz, Behzad Falahifard & Mohammad Reza Akhoond. (2017) The discrepancy of P-values and posterior probability: Two-sided hypothesis of variance of normal distribution with unknown mean. Communications in Statistics - Theory and Methods 46:11, pages 5544-5555.
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Rahim Chinipardaz & Khadijeh Mehri. (2016) Irreconcilability of P-value and Bayesian measure in two-sided hypothesis: Pareto distribution with the presence of nuisance parameter. Communications in Statistics - Theory and Methods 45:8, pages 2438-2449.
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Shigeru Iwata. (1994) Lower bounds on bayes factors for a linear regression model. Communications in Statistics - Theory and Methods 23:6, pages 1825-1834.
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M.A. Gomez-Villegas & E. Gomez Sanchez-Manzano. (1992) Bayes factor in testing precise hypotheses. Communications in Statistics - Theory and Methods 21:6, pages 1707-1715.
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Qiu-Hu Zhang & Yi-Qing Ni. A sample size-dependent prior strategy for bridging the Bayesian-frequentist gap in point null hypothesis testing. Communications in Statistics - Theory and Methods 0:0, pages 1-13.
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Articles from other publishers (8)

Fulvio De Santis & Stefania Gubbiotti. (2020) On the predictive performance of a non-optimal action in hypothesis testing. Statistical Methods & Applications 30:2, pages 689-709.
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Parisa Zolfaghari, Rahim Chinipardaz & Jafar Esmaily. (2020) Testing a Point Null Hypothesis against One-Sided for Non Regular and Exponential Families: The Reconcilability Condition to P-values and Posterior Probability. Journal of the Iranian Statistical Society 19:2, pages 101-117.
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C. Andy Tsao. 2011. Philosophy of Statistics. Philosophy of Statistics 737 748 .
Bojan Janković. (2010) Identification of the effective distribution function for determination of the distributed activation energy models using Bayesian statistics: Application of isothermal thermogravimetric data. International Journal of Chemical Kinetics 42:11, pages 641-658.
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C. Andy Tsao. (2006) A note on Lindley's paradox. TEST 15:1, pages 125-139.
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Richard A. Levine & George Casella. (1996) Convergence of posterior odds. Journal of Statistical Planning and Inference 55:3, pages 331-344.
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James O. Berger, Elías Moreno, Luis Raul Pericchi, M. Jesús Bayarri, José M. Bernardo, Juan A. Cano, Julián De la Horra, Jacinto Martín, David Ríos-Insúa, Bruno Betrò, A. Dasgupta, Paul Gustafson, Larry Wasserman, Joseph B. Kadane, Cid Srinivasan, Michael Lavine, Anthony O’Hagan, Wolfgang Polasek, Christian P. Robert, Constantinos Goutis, Fabrizio Ruggeri, Gabriella Salinetti & Siva Sivaganesan. (1994) An overview of robust Bayesian analysis. Test 3:1, pages 5-124.
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James O. Berger & William H. Jefferys. (1992) The application of robust Bayesian analysis to hypothesis testing and Occam's Razor. Journal of the Italian Statistical Society 1:1, pages 17-32.
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