User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

A review on empirical likelihood methods for regression

  1. Barndorff-Nielsen OE, Cox DR (1984) Bartlett adjustments to the likelihood ratio statistic and the distribution of the maximum likelihood estimator. J R Stat Soc Ser B 46:483–495
  2. Barndorff-Nielsen OE, Hall PG (1988) On the level-error after Bartlett adjustment of the likelihood ratio statistic. Biometrika 75:374–378
  3. Bartlett MS (1937) Properties of sufficiency and statistical tests. Proc R Soc A 160:268–282
  4. Buckley JJ, James IR (1979) Linear regression with censored data. Biometrika 66:429–436
  5. Chen SX (1993) On the accuracy of empirical likelihood confidence regions for linear regression model. Ann Inst Stat Math 45:621–637
  6. Chen SX (1994) Empirical likelihood confidence intervals for linear regression coefficients. J Multivar Anal 49:24–40
  7. Chen SX (1996) Empirical likelihood confidence intervals for nonparametric density estimation. Biometrika 83:329–341
  8. Chen SX, Cui H (2003) An extended empirical likelihood for generalized linear models. Stat Sin 13:69–81
  9. Chen SX, Cui H-J (2006) On Bartlett correction of empirical likelihood in the presence of nuisance parameters. Biometrika 93:215–220
  10. Chen SX, Cui H-J (2007) On the second order properties of empirical likelihood with moment restrictions. J Econom 141:492–516
  11. Chen SX, Qin Y-S (2000) Empirical likelihood confidence interval for a local linear smoother. Biometrika 87:946–953
  12. Chen SX, Qin Y-S (2003) Coverage accuracy of confidence intervals in nonparametric regression. Acta Math Appl Sin Engl Ser 19:387–396
  13. Chen SX, Van Keilegom I (2009) A goodness-of-fit test for parametric and semiparametric models in multiresponse regression. Bernoulli (to appear)
  14. Chen SX, Härdle W, Li M (2003a) An empirical likelihood goodness-of-fit test for time series. J R Stat Soc, Ser B 65:663–678
  15. Chen SX, Leung DHY, Qin J (2003b) Information recovery in a study with surrogate endpoints. J Am Stat Assoc 98:1052–1062
  16. Chen SX, Leung DHY, Qin J (2008) Improved semiparametric estimation using surrogate data. J R Stat Soc, Ser B 70:803–823
  17. DiCiccio T, Hall P, Romano J (1989) Comparison of parametric and empirical likelihood functions. Biometrika 76:465–476
  18. DiCiccio T, Hall P, Romano J (1991) Empirical likelihood is Bartlett-correctable. Ann Stat 19:1053–1061
  19. Fan J, Gijbels I (1996) Local polynomial modelling and its applications. Chapman & Hall, London
  20. Fan J, Zhang J (2004) Sieve empirical likelihood ratio tests for nonparametric functions. Ann Stat 32:1858–1907
  21. Fan J, Zhang C, Zhang J (2001) Generalized likelihood ratio statistics and Wilks phenomenon. Ann Stat 29:153–193
  22. Hall P (1991) Edgeworth expansions for nonparametric density estimators, with applications. Statistics 22:215–232
  23. Hall P, La Scala B (1990) Methodology and algorithms of empirical likelihood. Int Stat Rev 58:109–127
  24. Hansen LP (1982) Large sample properties of generalized method of moments estimators. Econometrica 50:1029–1054
  25. Hardle Wolfgang, Applied Nonparametric Regression, ISBN:9781139052139, 10.1017/ccol0521382483
  26. Härdle W, Mammen E (1993) Comparing nonparametric versus parametric regression fits. Ann Stat 21:1926–1947
  27. Hartley HO, Rao JNK (1968) A new estimation theory for sample surveys. Biometrika 55:547–557
  28. Hayakawa T (1977) The likelihood ratio criterion and the asymptotic expansion of its distribution. Ann Inst Stat Math 29:359–378
  29. Heuchenne C, Van Keilegom I (2007) Polynomial regression with censored data based on preliminary nonparametric estimation. Ann Inst Stat Math 59:273–298
  30. Hjort NL, McKeague IW, Van Keilegom I (2009) Extending the scope of empirical likelihood. Ann Stat 37:1079–1115
  31. Hu X, Wang Z, Zhao Z (2009) Empirical likelihood for semiparametric varying-coefficient partially linear errors-in-variables models. Stat Prob Lett 79:1044–1052
  32. Kolaczyk ED (1994) Empirical likelihood for generalized linear model. Stat Sin 4:199–218
  33. Koul H, Susarla V, Van Ryzin J (1981) Regression analysis with randomly right-censored data. Ann Stat 9:1276–1288
  34. LAWLEY D. N., A GENERAL METHOD FOR APPROXIMATING TO THE DISTRIBUTION OF LIKELIHOOD RATIO CRITERIA, 10.1093/biomet/43.3-4.295
  35. Li G, Van Keilegom I (2002) Likelihood ratio confidence bands in nonparametric regression with censored data. Scand J Stat 29:547–562
  36. Li G, Wang Q-H (2003) Empirical likelihood regression analysis for right censored data. Stat Sin 13:51–68
  37. Liang H, Qin Y (2008) Empirical likelihood-based inferences for partially linear models with missing covariates. Aust N Z J Stat 50:347–359
  38. Lu W, Liang Y (2006) Empirical likelihood inference for linear transformation models. J Multivar Anal 97:1586–1599
  39. Lu X (2009) Empirical likelihood for heteroscedastic partially linear models. J Multivar Anal 100:387–396
  40. McCullagh P., Nelder J. A., Generalized Linear Models, ISBN:9780412238505, 10.1007/978-1-4899-3244-0
  41. Molanes-López E, Van Keilegom I, Veraverbeke N (2009) Empirical likelihood for non-smooth criterion functions. Scand J Stat 36:413–432
  42. Owen AB (1988) Empirical likelihood ratio confidence intervals for a single functional. Biometrika 75:237–249
  43. Owen AB (1990) Empirical likelihood confidence regions. Ann Stat 18:90–120
  44. Owen AB (1991) Empirical likelihood for linear models. Ann Stat 19:1725–1747
  45. Owen Art, Empirical Likelihood, ISBN:9781584880714, 10.1201/9781420036152
  46. Tripathi G, Kitamura Y (2003) Testing conditional moment restrictions. Ann Stat 31:2059–2095
  47. Qin G, Jing B-Y (2001a) Empirical likelihood for censored linear regression. Scand J Stat 28:661–673
  48. Qin G, Jing B-Y (2001b) Censored partial linear models and empirical likelihood. J Multivar Anal 78:37–61
  49. Qin G, Jing B-Y (2001c) Empirical likelihood for Cox regression model under random censoring. Commun Stat Simul Comput 30:79–90
  50. Qin G, Tsao M (2003) Empirical likelihood inference for median regression models for censored survival data. J Multivar Anal 85:416–430
  51. Qin J, Lawless J (1994) Empirical likelihood and general estimating equations. Ann Stat 22:300–325
  52. Qin J, Zhang B (2007) Empirical-likelihood-based inference in missing response problems and its application in observational studies. J R Stat Soc, Ser B 69:101–122
  53. Rosenbaum PR, Rubin DB (1983) The central role of the propensity score in observational studies for causal effects. Biometrika 70:41–55
  54. Rubin DB (1976) Inference and missing data. With comments by RJA Little and a reply by the author. Biometrika 63:581–592
  55. Shi J, Lau T-S (2000) Empirical likelihood for partially linear models. J Multivar Anal 72:132–148
  56. Thomas DR, Grunkemeier GL (1975) Confidence interval estimation of survival probabilities for censored data. J Am Stat Assoc 70:865–871
  57. Tsao M (2004) Bounds on coverage probabilities of the empirical likelihood ratio confidence regions. Ann Stat 32:1215–1221
  58. Van Keilegom I, Sánchez Sellero C, González Manteiga W (2008) Empirical likelihood based testing for regression. Electr J Stat 2:581–604
  59. Wang D, Chen SX (2009) Empirical likelihood for estimating equation with missing values. Ann Stat 37:490–517
  60. Wang L, Veraverbeke N (2006) Empirical likelihood in a semi-parametric model for missing response data. Commun Stat Theory Methods 35:625–639
  61. Wang Q-H, Jing B-Y (2003) Empirical likelihood for partial linear models. Ann Inst Stat Meth 55:585–595
  62. Wang Q-H, Li G (2002) Empirical likelihood semiparametric regression analysis under random censorship. J Multivar Anal 83:469–486
  63. Wang Q, Rao JNK (2002) Empirical likelihood-based inference under imputation for missing response data. Dedicated to the memory of Lucien Le Cam. Ann Stat 30:896–924
  64. Wang Q, Linton O, Härdle W (2004) Semiparametric regression analysis with missing response at random. J Am Stat Assoc 99:334–345
  65. Whang Y-J (2006) Smoothed empirical likelihood methods for quantile regression models. Econom Theory 22:173–205
  66. Wilks SS (1938) The large-sample distribution of the likelihood ratio for testing composite hypotheses. Ann Math Stat 9:60–62
  67. Xue L-G, Zhu L (2006) Empirical likelihood for single-index models. J Multivar Anal 97:1295–1312
  68. Ying Z, Jung SH, Wei LJ (1995) Survival analysis with median regression models. J Am Stat Assoc 90:178–184
  69. Zhao Y, Chen F (2008) Empirical likelihood inference for censored median regression model via nonparametric kernel estimation. J Multivar Anal 99:215–231
  70. Zhao Y, Wang H (2008) Empirical likelihood inference for the regression model of mean quality-adjusted lifetime with censored data. Can J Stat 36:463–478
  71. ZHOU MAI, M-estimation in censored linear models, 10.1093/biomet/79.4.837
  72. Zhou M (2005) Empirical likelihood analysis of the rank estimator for the censored accelerated failure time model. Biometrika 92:492–498
  73. Zhou M, Li G (2008) Empirical likelihood analysis of the Buckley–James estimator. J Multivar Anal 99:649–664
  74. Zhou XH, Qin GS, Lin HZ, Li G (2006) Inferences in censored cost regression models with empirical likelihood. Stat Sin 16:1213–1232
  75. Zhu L, Xue L (2006) Empirical likelihood confidence regions in a partially linear single-index model. J R Stat Soc, Ser B 68:549–570
Bibliographic reference Chen, Song Xi ; Van Keilegom, Ingrid. A review on empirical likelihood methods for regression. In: Test, Vol. 18, no. 3, p. 415-447 (2009)
Permanent URL http://hdl.handle.net/2078.1/35125