Regression Models and Life-Tables |
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文献名称 | Regression Models and Life-Tables | ||||||
文献作者 | D. R. Cox | ||||||
作者所在单位 | Imperial College, London | ||||||
文献分类 | 已发表文献 | ||||||
学科一级分类 | 统计 | ||||||
学科二级分类 | 统计学 | ||||||
文献摘要 |
The analysis of censored failure times is considered. It is assumed that on each individual are available values of one or more explanatory variables. The hazard function (age-specific failure rate) is taken to be a function of the explanatory variables and unknown regression coefficients multiplied by an arbitrary and unknown function of time. A conditional likelihood is obtained, leading to inferences about the unknown regression coefficients. Some generalizations are outlined. |
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参考文献 |
ARMITAGE, P. (1959). The comparison of survival curves. J. R. Statist. Soc. A, 122, 279-300. - (1966). The chisquared test for heterogeneity of proportions after adjustment for stratification. J. R. Statist. Soc. B, 28, 150- 163; Addendum: 1967, 29, 197. BARLOW, R. E., BARTHOLOMEW, D. J., BREMNER, J. M. and BRUNK, H. D. (1972). Statistical Inference under Order Restrictions. Chichester: Wiley. BARLOW, R. E. and DOKSUM, K. (1972). Isotonic tests for convex orderings. In Proc. 6th Berkeley Symp. on Math. Statist. Prob., pp. 293-323. Berkeley: University of California Press. BARLOW, R. E. and VAN ZWET, W. (1970). Asymptotic properties of isotonic estimators for the generalised failure rate function. In Proc. 1st Int. Symp. on Non parametric Techniques in Statistical Inference, pp. 159-174. Cambridge: University Press. BARTLETT, M. S. (1937). Properties of sufficiency and statistical tests. Proc. Roy. Soc. A, 160, 268-282. BARTON, D. E. (1968). The solution of stochastic integral relations for strongly-consistent estimators of an unknown distribution function from a sample subject to variable censoring and truncation. Trab. Estadist., 19, 51-73. BENJAMIN, B. (1972). Stochastic aspects of life tables. I.M.A. Bull., 8, 12-16. BENJAMIN, B. and HAYCOCKS, H. W. (1971). The Analysis of Mortality and other Actuarial Statistics. Cambridge: University Press. BIRCH, M. W. (1965). The detection of partial association, II. The general case. J. R. Statist. Soc. B, 27, 111-124. BRADLEY, J. V. (1968). Distribution free Statistical Tests. Englewood Cliffs, N.J.: Prentice Hall. COCHRAN, W. G. (1954). Some methods for strengthening the common X2 tests. Biometrics, 10, 417-451. Cox, D. R. (1958). The regression analysis of binary sequences (with Discussion). J. R. Statist. Soc. B. 20, 215-242. DAVID, H. A. (1963). The Method of Paired Comparisons. London: Griffin. DE HASS, J. H. (1964). Changing Mortality Patterns and Cardiovascular Diseases. N. V. Haarlem: De Erven F. Bohn. DOKSUM, K. (1967). Asymptotically optimal statistics in some models with increasing failure rate averages. Ann. Math. Statist., 38, 1731-1739. ESARY, J. D., MARSHALL, A. W. and PROSCHAN, F. (1972). Shock models. Ann. Math. Statist., in the press. FORBES, A. F. (1971). Non-parametric methods of estimating the survivor function. The Statistician, 20, 27-52. FRASER, D. A. S. (1968). The Structure of Inference. New York: Wiley. GART, J. J. (1970). Point and interval estimation of the common odds ratio in the combination of 2 x 2 tables with fixed marginals. Biometrika, 57, 471-475. GRENANDER, U. (1956). On the theory of mortality measurement, Part H. Skan. Aktuarietidskr., 39, 125-153. HARRIS, T. E., MEIER, P. and TUKEY, J. W. (1950). Timing of the distribution of events between observations. Hum. Biol., 22, 249-270. KALBFLEISCH, J. D. and SPROTT, D. A. (1970). Application of likelihood methods to models involving large numbers of parameters (with Discussion). J. R. Statist. Soc. B, 32, 175-208. MANTEL, N. and HAENZEL, W. (1959). Statistical aspects of the analysis of data from retrospective studies of disease. J. Nat. Cancer Inst., 22, 719-748. NELSON, W. (1969). Hazard plotting for incomplete failure data. J. Qual. Tech., 1, 27-52. ZELEN, M. (1971). The analysis of several 2 x 2 contingency tables. Biometrika, 58, 129-137. |
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关键字 | LIFE TABLE; HAZARD FUNCTION; AGE-SPECIFIC FAILURE RATE; PRODUCT LIMIT ESTIMATE; REGRESSION; CONDITIONAL INFERENCE; ASYMPTOTIC THEORY; CENSORED DATA; TWO-SAMPLE RANK TESTS; MEDICAL APPLICATIONS; RELIABILITY THEORY; ACCELERATED LIFE TESTS. | ||||||
发表所在刊物(或来源) | Journal of the Royal Statistical Society. Series B (Methodological), Volume 34, Issue 2 (1972), 187-220. | ||||||
发表时间 | 1972 | ||||||
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