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Volumn 23, Issue 4, 1996, Pages 551-580

Weak Convergence of a Product Integral Dependence Measure

Author keywords

Censoring; Product integration; Rank tests

Indexed keywords


EID: 0030524224     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (5)

References (49)
  • 1
    • 0001602163 scopus 로고
    • An empirical transition matrix for nonhomogeneous Markov chains based on censored observations
    • Aalen, O. O. & Johansen, S. (1978). An empirical transition matrix for nonhomogeneous Markov chains based on censored observations. Scand J. Statist. 5, 141-150.
    • (1978) Scand J. Statist. , vol.5 , pp. 141-150
    • Aalen, O.O.1    Johansen, S.2
  • 2
    • 21844511145 scopus 로고
    • Bivariate distribution function estimation for censored data
    • Akritas. M. G. (1994). Bivariate distribution function estimation for censored data. Ann. Statist. 22, 1299-1328.
    • (1994) Ann. Statist. , vol.22 , pp. 1299-1328
    • Akritas, M.G.1
  • 3
    • 0043219513 scopus 로고
    • A test for partial correlation with censored astronomical data
    • in press
    • Akritas, M. G. & Siebert, J. (1995). A test for partial correlation with censored astronomical data. Mon. Not. R. Astron. Soc. (in press).
    • (1995) Mon. Not. R. Astron. Soc.
    • Akritas, M.G.1    Siebert, J.2
  • 4
    • 0019658030 scopus 로고
    • Martingales, potentials and exponentials associated with a two-parameter jump process
    • Al-Hussaini, A. & Elliott, R. J. (1981). Martingales, potentials and exponentials associated with a two-parameter jump process. Stochastics 6, 23-42.
    • (1981) Stochastics , vol.6 , pp. 23-42
    • Al-Hussaini, A.1    Elliott, R.J.2
  • 6
    • 0001328372 scopus 로고
    • Strong approximations of the quantile process of the product limit estimator
    • Aly, E. E., Csörgö, M. & Horváth, L. (1985). Strong approximations of the quantile process of the product limit estimator. J. Multivar. Anal. 16, 185-210,
    • (1985) J. Multivar. Anal. , vol.16 , pp. 185-210
    • Aly, E.E.1    Csörgö, M.2    Horváth, L.3
  • 8
    • 0003267522 scopus 로고
    • Nonparametric tests of independence for censored data with applications to heart transplant studies
    • eds F. Proschan & R. Serfling, SIAM. Philadelphia
    • Brown, B. W., Hollander, M. & Korwar, R. M. (1974). Nonparametric tests of independence for censored data with applications to heart transplant studies. In Reliability and Biometry: statistical analysis of life length (eds F. Proschan & R. Serfling), 327-354. SIAM. Philadelphia.
    • (1974) Reliability and Biometry: Statistical Analysis of Life Length , pp. 327-354
    • Brown, B.W.1    Hollander, M.2    Korwar, R.M.3
  • 9
    • 0000360523 scopus 로고
    • Distribution free tests of independence based on the sample distribution function
    • Blum, J. R., Kiefer, J. & Rosenblatt, M. (1961). Distribution free tests of independence based on the sample distribution function. Ann. Math. Statist. 32, 485-497.
    • (1961) Ann. Math. Statist. , vol.32 , pp. 485-497
    • Blum, J.R.1    Kiefer, J.2    Rosenblatt, M.3
  • 10
    • 0009846613 scopus 로고
    • Rank tests for association with right censored data
    • Cuzick, J. (1982). Rank tests for association with right censored data. Biometrika 69, 351-364.
    • (1982) Biometrika , vol.69 , pp. 351-364
    • Cuzick, J.1
  • 11
    • 0344008347 scopus 로고
    • Rank tests for independence for bivariate censored data
    • Dabrowska, D. M. (1985). Rank tests for independence for bivariate censored data. Ann. Statist. 14, 250-264.
    • (1985) Ann. Statist. , vol.14 , pp. 250-264
    • Dabrowska, D.M.1
  • 12
    • 0000930851 scopus 로고
    • Kaplan-Meier estimate on the plane
    • Dabrowska, D. M. (1988). Kaplan-Meier estimate on the plane. Ann. Statist. 16, 1475-1489.
    • (1988) Ann. Statist. , vol.16 , pp. 1475-1489
    • Dabrowska, D.M.1
  • 13
    • 38249022745 scopus 로고
    • Kaplan-Meier estimate on the plane: Weak convergence, LIL and the bootstrap
    • Dabrowska, D. M. (1989). Kaplan-Meier estimate on the plane: weak convergence, LIL and the bootstrap. J. Multivar. Anal. 29, 308-325.
    • (1989) J. Multivar. Anal. , vol.29 , pp. 308-325
    • Dabrowska, D.M.1
  • 14
    • 0002266120 scopus 로고
    • Partial likelihood in transformation models with censored data
    • Dabrowska, D. M. & Doksum, K. A. (1989). Partial likelihood in transformation models with censored data. Scand. J. Statist. 15, 1-23.
    • (1989) Scand. J. Statist. , vol.15 , pp. 1-23
    • Dabrowska, D.M.1    Doksum, K.A.2
  • 15
    • 0000429471 scopus 로고
    • An asymptotic decomposition for multivariate distribution-free tests of independence
    • Deheuvels, P. (1981). An asymptotic decomposition for multivariate distribution-free tests of independence. J Multivar. Anal. 11, 102-113.
    • (1981) J Multivar. Anal. , vol.11 , pp. 102-113
    • Deheuvels, P.1
  • 16
    • 0001023914 scopus 로고
    • An elementary approach to weak convergence for quantile processes with applications to censored survival data
    • Doss, H. & Gill, R. D. (1992). An elementary approach to weak convergence for quantile processes with applications to censored survival data. J. Amer. Statist. Assoc. 87, 869-877.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 869-877
    • Doss, H.1    Gill, R.D.2
  • 17
    • 84972539443 scopus 로고
    • Weak convergence of probability measures on nonseparable metric spaces and empirical measures on Euclidean spaces
    • Dudley, R. M. (1966). Weak convergence of probability measures on nonseparable metric spaces and empirical measures on Euclidean spaces. Illinois J. Math. 10, 109-126.
    • (1966) Illinois J. Math. , vol.10 , pp. 109-126
    • Dudley, R.M.1
  • 18
    • 0345650607 scopus 로고
    • Sur des tests d'indépendance indépendants de la loi
    • Dugué, D. (1975). Sur des tests d'indépendance indépendants de la loi. C. R. Acad. Sci. Paris A 281, 1103-1104.
    • (1975) C. R. Acad. Sci. Paris A , vol.281 , pp. 1103-1104
    • Dugué, D.1
  • 20
    • 0002610193 scopus 로고
    • Non- And semi-parametric maximum likelihood estimators and the von Mises method
    • Gill, R. D. (1989). Non- and semi-parametric maximum likelihood estimators and the von Mises method. Scand. J. Statist 16, 97-128.
    • (1989) Scand. J. Statist , vol.16 , pp. 97-128
    • Gill, R.D.1
  • 21
    • 0011424091 scopus 로고
    • Multivariate survival analysis
    • Proceedings of the Second World Congress of the Bernoulli Society, Uppsala, Sweden
    • Gill. R. D. (1992). Multivariate survival analysis. Proceedings of the Second World Congress of the Bernoulli Society, Uppsala, Sweden. Theory Probab. Appl. 37, 19-36 and 307-328.
    • (1992) Theory Probab. Appl. , vol.37 , pp. 19-36
    • Gill, R.D.1
  • 22
  • 23
    • 0001232443 scopus 로고
    • A survey of product-integration with a view towards application in survival analysis
    • Gill, R. D. & Johansen, S. (1990). A survey of product-integration with a view towards application in survival analysis. Ann. Statist. 18, 1501-1555.
    • (1990) Ann. Statist. , vol.18 , pp. 1501-1555
    • Gill, R.D.1    Johansen, S.2
  • 24
    • 0001642930 scopus 로고
    • Inefficient estimators of the bivariate survival function for three models
    • Gill, R. D., van der Laan, M. J. & Wellner, J. A. (1995). Inefficient estimators of the bivariate survival function for three models. Ann. Inst. Henri Poincaré 31, 545-597.
    • (1995) Ann. Inst. Henri Poincaré , vol.31 , pp. 545-597
    • Gill, R.D.1    Van Der Laan, M.J.2    Wellner, J.A.3
  • 25
    • 33748208652 scopus 로고
    • A class of rank test procedures for censored survival data
    • Harrington, D. P. & Fleming, T. R. (1982). A class of rank test procedures for censored survival data. Biometrika 69, 133-143.
    • (1982) Biometrika , vol.69 , pp. 133-143
    • Harrington, D.P.1    Fleming, T.R.2
  • 29
    • 38249028583 scopus 로고
    • Stochastic integrals of empirical type processes with applications to censored regression
    • (eds C. R. Rao & M. M. Rao), Academic Press, New York
    • Lai, T. L. & Ying, Z. (1989). Stochastic integrals of empirical type processes with applications to censored regression. In Multivariate statistics and probability: essays in memory of P. R. Krishnaiah (eds C. R. Rao & M. M. Rao), 334-358. Academic Press, New York.
    • (1989) Multivariate Statistics and Probability: Essays in Memory of P. R. Krishnaiah , pp. 334-358
    • Lai, T.L.1    Ying, Z.2
  • 31
    • 0346209932 scopus 로고
    • Exponential formulas and Doléans equation for discontinuous two-parameter processes
    • Mishura, Yu. S. (1988). Exponential formulas and Doléans equation for discontinuous two-parameter processes. Theoret. Probab. Applic. 33, 388-392.
    • (1988) Theoret. Probab. Applic. , vol.33 , pp. 388-392
    • Mishura, Yu.S.1
  • 32
    • 0001159892 scopus 로고
    • On weak convergence of stochastic processes with multidimensional time parameter
    • Neuhaus, G. (1971). On weak convergence of stochastic processes with multidimensional time parameter. Ann. Math. Statist. 42, 1285-1295.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1285-1295
    • Neuhaus, G.1
  • 33
    • 0020144696 scopus 로고
    • A concordance test for independence in the presence of censoring
    • Oakes, D. (1982). A concordance test for independence in the presence of censoring. Biometrics 38, 451-455.
    • (1982) Biometrics , vol.38 , pp. 451-455
    • Oakes, D.1
  • 34
    • 23444432123 scopus 로고
    • Bivariate survival models introduced by frailties
    • Oakes, D. (1989). Bivariate survival models introduced by frailties. J. Amer. Statist. Assoc. 84, 487-493.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 487-493
    • Oakes, D.1
  • 35
    • 0000323424 scopus 로고
    • A test of independence for two censored survival times
    • Pons, O. (1986). A test of independence for two censored survival times. Scand. J. Statist. 13, 173-185.
    • (1986) Scand. J. Statist. , vol.13 , pp. 173-185
    • Pons, O.1
  • 36
    • 0042160366 scopus 로고
    • Tests for independence for bivariate censored data based on the empirical joint hazard function
    • Pons, O. & de Turckheim, E. (1991a). Tests for independence for bivariate censored data based on the empirical joint hazard function. Scand. J. Statist. 18, 21-39.
    • (1991) Scand. J. Statist. , vol.18 , pp. 21-39
    • Pons, O.1    De Turckheim, E.2
  • 37
    • 84963177614 scopus 로고
    • Von Mises method, bootstrap and Hadamard differentiability for nonparametric general modeels
    • Pons, O. & de Turckheim, E. (1991b). Von Mises method, bootstrap and Hadamard differentiability for nonparametric general modeels. Statistics 22, 205-214.
    • (1991) Statistics , vol.22 , pp. 205-214
    • Pons, O.1    De Turckheim, E.2
  • 38
    • 0001498707 scopus 로고
    • Covriance and survivor function estimation using censored multivariate failure time data
    • Prentice, R. L. & Cai, J. (1992). Covriance and survivor function estimation using censored multivariate failure time data. Biometrika 79, 495-512.
    • (1992) Biometrika , vol.79 , pp. 495-512
    • Prentice, R.L.1    Cai, J.2
  • 42
    • 0348101091 scopus 로고
    • Locally most powerful rank tests for independence
    • Shirahata, S. (1974). Locally most powerful rank tests for independence, Bull. Math. Statist. 16, 11-21.
    • (1974) Bull. Math. Statist. , vol.16 , pp. 11-21
    • Shirahata, S.1
  • 43
    • 84985579434 scopus 로고
    • Cumulants and partition lattices
    • Speed, T. P. (1983). Cumulants and partition lattices. Austral. J. Statist. 25, 378-388.
    • (1983) Austral. J. Statist. , vol.25 , pp. 378-388
    • Speed, T.P.1
  • 44
    • 0001075999 scopus 로고
    • Lancaster interactions revisited
    • Streitberg, B. (1990). Lancaster interactions revisited. Ann. Statist. 18, 1878-1885.
    • (1990) Ann. Statist. , vol.18 , pp. 1878-1885
    • Streitberg, B.1
  • 45
    • 0000318738 scopus 로고
    • The oscillation behavior of empirical processes: The multivariate case
    • Stute. W. (1984). The oscillation behavior of empirical processes: the multivariate case. Ann. Probab. 12, 361-379.
    • (1984) Ann. Probab. , vol.12 , pp. 361-379
    • Stute, W.1
  • 46
    • 38249001712 scopus 로고
    • Consistent estimation under random censorship when covariables are present
    • Stute, W. (1993). Consistent estimation under random censorship when covariables are present. J. Multivar. Anal. 33, 89-103.
    • (1993) J. Multivar. Anal. , vol.33 , pp. 89-103
    • Stute, W.1
  • 48
    • 84889685349 scopus 로고
    • Covariance formulas via marginal martingales
    • Wellner, J. (1993). Covariance formulas via marginal martingales. Statist. Neerland. 48, 1994.
    • (1993) Statist. Neerland. , vol.48 , pp. 1994
    • Wellner, J.1
  • 49
    • 84960610463 scopus 로고
    • On multiple integration by parts and the second theorem of the mean
    • Young, W. H. (1917). On multiple integration by parts and the second theorem of the mean. Proc. London Math. Soc. Ser. (2) 16, 273-293.
    • (1917) Proc. London Math. Soc. Ser. , vol.16 , Issue.2 , pp. 273-293
    • Young, W.H.1


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