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| برآوردگر خطر تجمعی نلسون-آلن× | رگرسیون بقای پارامتریک ویبول× | |
|---|---|---|
| حوزه | تحلیل بقا | تحلیل بقا |
| خانواده | Survival analysis | Survival analysis |
| سال پیدایش≠ | 1972 | 1951 |
| پدیدآور≠ | Wayne Nelson & Odd Aalen | Waloddi Weibull |
| نوع≠ | Non-parametric cumulative hazard estimator | Fully parametric survival regression model |
| منبع بنیادین≠ | Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966. DOI ↗ | Kalbfleisch, J. D. & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. DOI ↗ |
| نامهای دیگر | Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi | weibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma |
| مرتبط≠ | 5 | 4 |
| خلاصه≠ | The Nelson-Aalen estimator is a non-parametric estimator of the cumulative hazard function from right-censored time-to-event data. Developed by Wayne Nelson for reliability hazard plotting in 1972 and placed on a rigorous counting-process foundation by Odd Aalen in 1978, it accumulates the ratio of observed events to the number at risk at each event time, providing the natural hazard-scale companion to the Kaplan-Meier survival curve. | Weibull regression is a fully parametric survival model, formalised by Kalbfleisch and Prentice, that assumes survival times follow a Weibull distribution. A shape parameter controls whether the hazard increases, decreases, or remains constant over time, while covariates shift the scale of the distribution to express how predictors affect survival. |
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