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Volumn 26, Issue 3, 1998, Pages 992-1010

The strong law under random truncation

Author keywords

Nonparametric estimation; Product limit; Random truncation; Reverse supermartingale; Strong law of large numbers

Indexed keywords


EID: 0032356068     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1024691085     Document Type: Article
Times cited : (21)

References (12)
  • 1
    • 0010952121 scopus 로고
    • Some representations of the nonparametric maximum likelihood estimators with truncated data
    • CHAO, M. T. and LO, S.-H. (1988). Some representations of the nonparametric maximum likelihood estimators with truncated data. Ann. Statist. 16 661-668.
    • (1988) Ann. Statist. , vol.16 , pp. 661-668
    • Chao, M.T.1    Lo, S.-H.2
  • 2
    • 21844515597 scopus 로고
    • On strong uniform consistency of the Lynden-Ball estimator for truncated data
    • CHEN, K., CHAO, M. T. and LO, S.-H. (1995). On strong uniform consistency of the Lynden-Ball estimator for truncated data. Ann. Statist. 23 440-449.
    • (1995) Ann. Statist. , vol.23 , pp. 440-449
    • Chen, K.1    Chao, M.T.2    Lo, S.-H.3
  • 4
    • 0346681047 scopus 로고
    • Estimating a lifetime distribution under different sampling plans
    • S. S. Gupta and J. O. Berger, eds. Springer, New York
    • HE, S. and YANG, G. L. (1994). Estimating a lifetime distribution under different sampling plans. In Statistical Decision Theory and Related Topics (S. S. Gupta and J. O. Berger, eds.) 5 73-85. Springer, New York.
    • (1994) Statistical Decision Theory and Related Topics , vol.5 , pp. 73-85
    • He, S.1    Yang, G.L.2
  • 5
    • 0032329413 scopus 로고    scopus 로고
    • Estimation of the truncation probability in the random truncation model
    • HE, S. and YANG, G. L. (1998). Estimation of the truncation probability in the random truncation model. Ann. Statist. 26 1011-1027.
    • (1998) Ann. Statist. , vol.26 , pp. 1011-1027
    • He, S.1    Yang, G.L.2
  • 6
    • 0001001786 scopus 로고
    • Strong embedding of the estimator of the distribution function under random censorship
    • MAJOR, P. and REJTÖ, L. (1988). Strong embedding of the estimator of the distribution function under random censorship. Ann. Statist. 16 1113-1132.
    • (1988) Ann. Statist. , vol.16 , pp. 1113-1132
    • Major, P.1    Rejtö, L.2
  • 9
    • 0009936695 scopus 로고
    • The strong law under random censorship
    • STUTE, W. and WANG, J. L. (1993). The strong law under random censorship. Ann. Statist. 21 1591-1607.
    • (1993) Ann. Statist. , vol.21 , pp. 1591-1607
    • Stute, W.1    Wang, J.L.2
  • 10
    • 0001137256 scopus 로고
    • A note on the product-limit estimator under right censoring and left truncation
    • TSAI, W.-Y., JEWELL, N. P. and WANG, M.-C. (1987). A note on the product-limit estimator under right censoring and left truncation. Biometrika 74 883-886.
    • (1987) Biometrika , vol.74 , pp. 883-886
    • Tsai, W.-Y.1    Jewell, N.P.2    Wang, M.-C.3
  • 11
    • 0000006354 scopus 로고
    • Asymptotic properties of the product limit estimate under random truncation
    • WANG, M.-C., JEWELL, N. P. and TSAI, W.-Y. (1986). Asymptotic properties of the product limit estimate under random truncation. Ann. Statist. 14 1597-1605.
    • (1986) Ann. Statist. , vol.14 , pp. 1597-1605
    • Wang, M.-C.1    Jewell, N.P.2    Tsai, W.-Y.3
  • 12
    • 0000577679 scopus 로고
    • Estimating a distribution function with truncated data
    • WOODROOFE, M. (1985). Estimating a distribution function with truncated data. Ann. Statist. 13 163-177.
    • (1985) Ann. Statist. , vol.13 , pp. 163-177
    • Woodroofe, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.