Bayesian empirical likelihood inference for the mean absolute deviation

References

• Gorard S. Revisiting a 90-year-old debate: the advantages of the mean deviation. Br J Educ Stud. 2005;53(4):417–430. doi: 10.1111/j.1467-8527.2005.00304.x
   Web of Science ®Google Scholar
• Yitzhaki S, Lambert PJ. The relationship between Gini's mean difference and the absolute deviation from a quantile. Metron. 2013;71(2):97–104. doi: 10.1007/s40300-013-0015-y
   Google Scholar
• Gastwirth JL. Large sample theory of some measures of income inequality. Econometrica. 1974;42:191–196. doi: 10.2307/1913694
   Web of Science ®Google Scholar
• Zhao Y, Meng X, Yang H. Jackknife empirical likelihood inference for the mean absolute deviation. Comput Stat Data Anal. 2015;91:92–101. doi: 10.1016/j.csda.2015.06.001
   Web of Science ®Google Scholar
• Owen A. Empirical likelihood ratio confidence intervals for a single functional. Biometrika. 1988;75(2):237–249. doi: 10.1093/biomet/75.2.237
   Web of Science ®Google Scholar
• Owen A. Empirical likelihood ratio confidence regions. Ann Stat. 1990;77:90–120.
   Google Scholar
• Chen SX, Van Keilegom I. A review on empirical likelihood methods for regression. TEST. 2009;18(3):415–447. doi: 10.1007/s11749-009-0159-5
   Web of Science ®Google Scholar
• Tsao M. Extending the empirical likelihood by domain expansion. Can J Stat. 2013;41(2):257–274. doi: 10.1002/cjs.v41.2
   Web of Science ®Google Scholar
• Wang D, Wu T, Zhao Y. Penalized empirical likelihood for the sparse cox regression model. J Stat Plan Inference. 2019;201:71–85. doi: 10.1016/j.jspi.2018.12.001
   PubMed Web of Science ®Google Scholar
• Wang QH, Jing BY. Empirical likelihood for a class of functionals of survival distribution with censored data. Ann Inst Stat Math. 2001;53(3):517–527. doi: 10.1023/A:1014617112870
   Web of Science ®Google Scholar
• Yu W, Sun Y, Zheng M. Empirical likelihood method for censored median regression models. Commun Stat – Theory Methods. 2009;38(8):1170–1183. doi: 10.1080/03610920802379177
   Web of Science ®Google Scholar
• Zhang Z, Zhao Y. Empirical likelihood for linear transformation models with interval-censored failure time data. J Multivar Anal. 2013;116:398–409. doi: 10.1016/j.jmva.2013.01.003
   Web of Science ®Google Scholar
• Zhao Y, Jinnah A. Inference for Cox's regression models via adjusted empirical likelihood. Comput Stat. 2012;27(1):1–12. doi: 10.1007/s00180-010-0225-1
   Web of Science ®Google Scholar
• Zheng M, Yu W. Empirical likelihood method for multivariate Cox regression. Comput Stat. 2013;28(3):1241–1267. doi: 10.1007/s00180-012-0348-7
   Web of Science ®Google Scholar
• Zhou M. Empirical likelihood analysis of the rank estimator for the censored accelerated failure time model. Biometrika. 2005;92(2):492–498. doi: 10.1093/biomet/92.2.492
   Web of Science ®Google Scholar
• Chen J, Variyath AM, Abraham B. Adjusted empirical likelihood and its properties. J Comput Graph Stat. 2008;17(2):426–443. doi: 10.1198/106186008X321068
   Web of Science ®Google Scholar
• Jing B-Y, Yuan J, Zhou W. Jackknife empirical likelihood. J Am Stat Assoc. 2009;104(487):1224–1232. doi: 10.1198/jasa.2009.tm08260
   Web of Science ®Google Scholar
• Gong Y, Peng L, Qi Y. Smoothed jackknife empirical likelihood method for ROC curve. J Multivar Anal. 2010;101(6):1520–1531. doi: 10.1016/j.jmva.2010.01.012
   Web of Science ®Google Scholar
• Huang L, Zhang L, Zhao Y. Jackknife empirical likelihood for the lower-mean ratio. J Nonparametr Stat. in press;1–26.
   Web of Science ®Google Scholar
• Jiang H-Y, Zhao Y. Transformed jackknife empirical likelihood for probability weighted moments. J Stat Comput Simul. 2022;92(8):1618–1639. doi: 10.1080/00949655.2021.2002862
   Web of Science ®Google Scholar
• Peng L. Approximate jackknife empirical likelihood method for estimating equations. Can J Stat. 2012;40(1):110–123. doi: 10.1002/cjs.v40.1
   Web of Science ®Google Scholar
• Peng L, Qi Y. Smoothed jackknife empirical likelihood method for tail copulas. TEST. 2010;19(3):514–536. doi: 10.1007/s11749-010-0184-4
   Web of Science ®Google Scholar
• Wang R, Peng L, Qi Y. Jackknife empirical likelihood test for the equality of two high dimensional means. Stat Sin. 2013;23:667–690.
   Web of Science ®Google Scholar
• Yang H, Zhao Y. Smoothed jackknife empirical likelihood inference for the difference of ROC curves. J Multivar Anal. 2013;115:270–284. doi: 10.1016/j.jmva.2012.10.010
   Web of Science ®Google Scholar
• Yang H, Zhao Y. Smoothed jackknife empirical likelihood inference for ROC curves with missing data. J Multivar Anal. 2015;140:123–138. doi: 10.1016/j.jmva.2015.05.002
   Web of Science ®Google Scholar
• Liu P, Zhao Y. A review of recent advances in empirical likelihood. WIREs Comput Stat. 2023;15(3):e1599. doi: 10.1002/wics.v15.3
   Web of Science ®Google Scholar
• Lazar NA. Bayesian empirical likelihood. Biometrika. 2003;90(2):319–326. doi: 10.1093/biomet/90.2.319
   Web of Science ®Google Scholar
• Monahan JF, Boos DD. Proper likelihoods for Bayesian analysis. Biometrika. 1992;79(2):271–278. doi: 10.1093/biomet/79.2.271
   Web of Science ®Google Scholar
• Rao JNK, Wu C. Bayesian pseudo-empirical-likelihood intervals for complex surveys. J R Stat Soc: Ser B. 2010;72(4):533–544. doi: 10.1111/j.1467-9868.2010.00747.x
   Google Scholar
• Yang Y, He X. Bayesian empirical likelihood for quantile regression. Ann Stat. 2012;40:1102–1113.
   Web of Science ®Google Scholar
• Zhong X, Ghosh M. Higher-order properties of Bayesian empirical likelihood. Electron J Stat. 2016;10(2):3011–3044. doi: 10.1214/16-EJS1201
   Web of Science ®Google Scholar
• Vexler A, Yu J, Lazar N. Bayesian empirical likelihood methods for quantile comparisons. J Korean Stat Soc. 2017;46(4):518–538. doi: 10.1016/j.jkss.2017.03.002
   PubMed Web of Science ®Google Scholar
• Zhao P, Ghosh M, Rao JNK, et al. Bayesian empirical likelihood inference with complex survey data. J R Stat Soc: Ser B. 2020;82(1):155–174. doi: 10.1111/rssb.12342
   Google Scholar
• Bedoui A, Lazar NA. Bayesian empirical likelihood for ridge and lasso regressions. Comput Stat Data Anal. 2020;145: 106917. doi: 10.1016/j.csda.2020.106917
   Web of Science ®Google Scholar
• Cheng Y, Zhao Y. Empirical likelihood based Bayesian variable selection. arXiv:2206.05204. 2022.
   Google Scholar
• Yang K, Ding X, Yuan X. Bayesian empirical likelihood inference and order shrinkage for autoregressive models. Stat Pap. 2022;63(1):97–121. doi: 10.1007/s00362-021-01231-6
   Web of Science ®Google Scholar
• Cheng Y, Zhao Y. Bayesian jackknife empirical likelihood. Biometrika. 2019;106(4):981–988. doi: 10.1093/biomet/asz031
   Web of Science ®Google Scholar
• Jiang H-Y, Zhao Y. Bayesian jackknife empirical likelihood for the error variance in linear regression models. J Stat Comput Simul. 2022;92(16):3400–3413. doi: 10.1080/00949655.2022.2066671
   Web of Science ®Google Scholar
• Lazar NA. A review of empirical likelihood. Annu Rev Stat Appl. 2021;8(1):329–344. doi: 10.1146/statistics.2021.8.issue-1
   Google Scholar
• Owen A. Empirical likelihood. New York (NY): Chapman and Hall/CRC; 2001.
   Google Scholar
• Zhang R, Wang D. Bayesian empirical likelihood inference for the generalized binomial AR(1) model. J Korean Stat Soc. 2022;51(4):977–1004. doi: 10.1007/s42952-022-00171-7
   Web of Science ®Google Scholar