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رگرسیون کوکس (Cox Proportional Hazards Regression)×رگرسیون مقاوم×رگرسیون بقا×
حوزهتحلیل بقاآمارآمار
خانوادهSurvival analysisRegression modelRegression model
سال پیدایش197219641980s
پدیدآورCox, D. R.Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)Kalbfleisch & Prentice; Cox & Oakes
نوعSemi-parametric hazard regression modelRegression with outlier resistanceParametric survival model
منبع بنیادینCox, D. R. (1972). Regression Models and Life-Tables. Journal of the Royal Statistical Society: Series B, 34(2), 187–202. DOI ↗Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗Kalbfleisch, J. D., & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. ISBN: 978-0471363576
نام‌های دیگرcox ph model, proportional hazards model, cox ph regression, Cox Orantılı Tehlikeler RegresyonuM-estimation regression, robust linear regression, outlier-resistant regression, MM-estimationaccelerated failure time model, AFT model, parametric survival model, time-to-event regression
مرتبط363
خلاصهCox proportional hazards regression, introduced by D. R. Cox in 1972, is a semi-parametric model that estimates how one or more covariates affect the hazard — the instantaneous rate of experiencing an event — while leaving the baseline hazard function unspecified. It is the standard multivariable method in survival analysis and produces hazard ratios that quantify the relative risk associated with each predictor.Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed.Survival regression models the time until an event occurs — such as death, failure, or relapse — as a function of covariates. Unlike ordinary regression, it properly accounts for censored observations (cases where the event had not yet occurred at the end of follow-up) by specifying a parametric distribution for the survival time and estimating covariate effects via maximum likelihood.
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ScholarGateمقایسهٔ روش‌ها: Cox Regression · Robust Regression · Survival Regression. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare