메뉴 건너뛰기




Volumn 51, Issue 6, 2007, Pages 2919-2933

On improved EM algorithm and confidence interval construction for incomplete r × c tables

Author keywords

Bootstrap; Confidence interval; Convergence rate; Data augmentation; EM algorithm; Incomplete data; Paired binary data; Small sample size

Indexed keywords

ALGORITHMS; DATA REDUCTION; INVERSE PROBLEMS; MATRIX ALGEBRA; MAXIMUM LIKELIHOOD ESTIMATION; PROBLEM SOLVING;

EID: 33846633805     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.11.035     Document Type: Article
Times cited : (19)

References (24)
  • 1
    • 0000254441 scopus 로고
    • Maximum likelihood estimates for the multivariate normal distribution when some observations are missing
    • Anderson T.W. Maximum likelihood estimates for the multivariate normal distribution when some observations are missing. J. Amer. Statist. Assoc. 52 (1957) 200-203
    • (1957) J. Amer. Statist. Assoc. , vol.52 , pp. 200-203
    • Anderson, T.W.1
  • 2
    • 0016359285 scopus 로고
    • Two-dimensional contingency tables with both completely and partially cross-classified data
    • Chen T.T., and Fienberg S.E. Two-dimensional contingency tables with both completely and partially cross-classified data. Biometrics 30 (1974) 629-642
    • (1974) Biometrics , vol.30 , pp. 629-642
    • Chen, T.T.1    Fienberg, S.E.2
  • 3
    • 26844487632 scopus 로고
    • Practical tests for comparing two proportions with incomplete data
    • Choi S.C., and Stablein D.M. Practical tests for comparing two proportions with incomplete data. Appl. Statist. 31 (1982) 256-262
    • (1982) Appl. Statist. , vol.31 , pp. 256-262
    • Choi, S.C.1    Stablein, D.M.2
  • 4
    • 0023814549 scopus 로고
    • Comparing incomplete paired binomial data under non-random mechanisms
    • Choi S.C., and Stablein D.M. Comparing incomplete paired binomial data under non-random mechanisms. Statist. in Medicine 7 (1988) 929-939
    • (1988) Statist. in Medicine , vol.7 , pp. 929-939
    • Choi, S.C.1    Stablein, D.M.2
  • 5
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm (with discussion)
    • Dempster A.P., Laird N.M., and Rubin D.B. Maximum likelihood from incomplete data via the EM algorithm (with discussion). J. Roy. Statist. Soc. Ser. B 39 (1977) 1-38
    • (1977) J. Roy. Statist. Soc. Ser. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 6
    • 0001063937 scopus 로고    scopus 로고
    • Maximum likelihood estimation in graphical models with missing values
    • Didelez V., and Pigeot I. Maximum likelihood estimation in graphical models with missing values. Biometrika 85 (1998) 960-966
    • (1998) Biometrika , vol.85 , pp. 960-966
    • Didelez, V.1    Pigeot, I.2
  • 7
    • 0002344794 scopus 로고
    • Bootstrap methods: another look at the jackknife
    • Efron B. Bootstrap methods: another look at the jackknife. Ann. Statist. 7 (1979) 1-26
    • (1979) Ann. Statist. , vol.7 , pp. 1-26
    • Efron, B.1
  • 9
    • 21844493453 scopus 로고
    • A model for binary time series data with serial odd ratio patterns
    • Fitzmaurice G.M., and Lipsitz S.R. A model for binary time series data with serial odd ratio patterns. Appl. Statist. 44 (1995) 51-61
    • (1995) Appl. Statist. , vol.44 , pp. 51-61
    • Fitzmaurice, G.M.1    Lipsitz, S.R.2
  • 10
    • 0034336072 scopus 로고    scopus 로고
    • Mixed graphical models with missing data and the partial imputation EM algorithm
    • Geng Z., Wan K., and Tao F. Mixed graphical models with missing data and the partial imputation EM algorithm. Scand. J. Statist. 27 (2000) 433-444
    • (2000) Scand. J. Statist. , vol.27 , pp. 433-444
    • Geng, Z.1    Wan, K.2    Tao, F.3
  • 11
    • 0029885625 scopus 로고    scopus 로고
    • The score test for independence in R × C contingency tables with missing data
    • Lipsitz S.R., and Fitzmaurice G.M. The score test for independence in R × C contingency tables with missing data. Biometrics 52 (1996) 751-762
    • (1996) Biometrics , vol.52 , pp. 751-762
    • Lipsitz, S.R.1    Fitzmaurice, G.M.2
  • 13
    • 0001349994 scopus 로고    scopus 로고
    • Efficient ML estimation of the multivariate normal distribution from incomplete data
    • Liu C.H. Efficient ML estimation of the multivariate normal distribution from incomplete data. J. Multivariate Anal. 69 (1999) 206-217
    • (1999) J. Multivariate Anal. , vol.69 , pp. 206-217
    • Liu, C.H.1
  • 14
    • 0001789822 scopus 로고
    • Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes
    • Liu J.S., Wong W.H., and Kong A. Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes. Biometrika 81 (1994) 27-40
    • (1994) Biometrika , vol.81 , pp. 27-40
    • Liu, J.S.1    Wong, W.H.2    Kong, A.3
  • 15
    • 0001044972 scopus 로고
    • Finding the observed information matrix when using the EM algorithm
    • Louis T.A. Finding the observed information matrix when using the EM algorithm. J. Roy. Statist. Soc. Ser. B 44 (1982) 226-233
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 226-233
    • Louis, T.A.1
  • 16
    • 21344477603 scopus 로고
    • On the rate of convergence of the ECM algorithm
    • Meng X.L. On the rate of convergence of the ECM algorithm. Ann. Statist. 22 (1994) 326-339
    • (1994) Ann. Statist. , vol.22 , pp. 326-339
    • Meng, X.L.1
  • 17
    • 18244387717 scopus 로고    scopus 로고
    • The EM algorithm-an old folk-song sung to a fast new tune
    • Meng X.L., and van Dyk D. The EM algorithm-an old folk-song sung to a fast new tune. J. Roy. Statist. Soc. Ser. B 59 (1997) 511-567
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 511-567
    • Meng, X.L.1    van Dyk, D.2
  • 18
    • 84950953410 scopus 로고
    • Inference from non-randomly missing categorical data: an example from a genetic study on Turner's syndrome
    • Nordheim E.V. Inference from non-randomly missing categorical data: an example from a genetic study on Turner's syndrome. J. Amer. Statist. Assoc. 79 (1984) 772-780
    • (1984) J. Amer. Statist. Assoc. , vol.79 , pp. 772-780
    • Nordheim, E.V.1
  • 19
    • 0017133178 scopus 로고
    • Inference and missing data
    • Rubin D.R. Inference and missing data. Biometrika 63 (1976) 581-592
    • (1976) Biometrika , vol.63 , pp. 581-592
    • Rubin, D.R.1
  • 22
    • 84950758368 scopus 로고
    • The calculation of posterior distributions by data augmentation (with discussion)
    • Tanner M.A., and Wong W.H. The calculation of posterior distributions by data augmentation (with discussion). J. Amer. Statist. Assoc. 82 (1987) 528-540
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 528-540
    • Tanner, M.A.1    Wong, W.H.2
  • 23
    • 0012548114 scopus 로고    scopus 로고
    • Bayesian computation for contingency tables with incomplete cell-counts
    • Tian G.L., Ng K.W., and Geng Z. Bayesian computation for contingency tables with incomplete cell-counts. Statist. Sinica 13 (2003) 189-206
    • (2003) Statist. Sinica , vol.13 , pp. 189-206
    • Tian, G.L.1    Ng, K.W.2    Geng, Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.