A limit result for the prior predictive applied to checking for prior-data conflict

被引：21

作者：

Evans, Michael ^{[1
]}

Jang, Gun Ho ^{[2
]}

机构：

[1] Univ Toronto, Dept Stat, Toronto, ON M5S 1A1, Canada

[2] Univ Penn, Dept Biostat & Epidemiol, Philadelphia, PA 19104 USA

来源：

STATISTICS & PROBABILITY LETTERS | 2011年 / 81卷 / 08期

关键词：

Minimal sufficiency; Prior predictive; Convergence; Prior-data conflict; MODELS;

D O I：

10.1016/j.spl.2011.02.025

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider checking for prior-data conflict in a Bayesian analysis via a tail probability based on the prior predictive distribution. We establish the appropriateness of this measure in the sense that the limiting value of the tail probability measures the extent to which the true value of the parameter is a surprising value from the prior. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1034 / 1038

页数：5

共 47 条

[21] Strong Theory Testing Using the Prior Predictive and the Data Prior
Vanpaemel, Wolf
[J]. PSYCHOLOGICAL REVIEW, 2020, 127 (01) : 136 - 145
[22] Conflict between prior and current data
Raab, GM
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 1996, 45 (02) : 247 - 249
[23] Towards adaptive graph neural networks via solving prior-data conflicts
Wu, Xugang
Wu, Huijun
Wang, Ruibo
Zhou, Xu
Lu, Kai
[J]. FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING, 2024, 25 (03) : 369 - 383
[24] Optimal Robustness Results for Relative Belief Inferences and the Relationship to Prior-Data Conflicte
Al Labadi, Luai
Evans, Michael
[J]. BAYESIAN ANALYSIS, 2017, 12 (03): : 705 - 728
[25] APPROACH-AVOIDANCE CONFLICT BEHAVIOR AS A RESULT OF PRIOR EXPOSURE TO A CONFLICT SITUATION
TERRIS, W
GRANDOLFO, P
MALESKE, R
[J]. JOURNAL OF GENERAL PSYCHOLOGY, 1972, 86 (01): : 117 - +
[26] Conflict between prior and current data - Response
Dellaportas, P
Smith, AFM
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 1996, 45 (02) : 249 - 251
[27] Illustrating the Value of Prior Predictive Checking for Bayesian Structural Equation Modeling
Winter, Sonja D. D.
Depaoli, Sarah
[J]. STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, 2023, 30 (06) : 1000 - 1021
[28] Bayesian framework for interval-valued data using Jeffreys' prior and posterior predictive checking methods
Xu, Min
Qin, Zhongfeng
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2024, 53 (05) : 2425 - 2443
[29] Addressing potential prior-data conflict when using informative priors in proof-of-concept studies (vol 15, pg 28, 2016)
Mutsvari, Timothy
Tytgat, Dominique
Walley, Rosalind
[J]. PHARMACEUTICAL STATISTICS, 2017, 16 (02) : 174 - 174
[30] Good Fit Is Weak Evidence of Replication: Increasing Rigor Through Prior Predictive Similarity Checking
Bonifay, Wes
Winter, Sonja D.
Skoblow, Hanamori F.
Watts, Ashley L.
[J]. ASSESSMENT, 2024,

← 1 2 3 4 5 →