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Survival Analysis

Mathematica 9 provides fully automated, broad-ranging support for handling censored and truncated data, optimized parametric and nonparametric survival modeling frameworks, and a range of generalized hypothesis-testing functions, such as weighted log rank, Wald, likelihood ratio, and score tests. The seamless integration with Mathematica's powerful hybrid symbolic-numeric computation engine makes performing survival analysis tasks easier and more flexible than ever before.

• Optimized and automated handling of left, right, and interval censoring and truncation.
• Descriptive statistics of censored and truncated data.
• Estimation of parametric distributions (Weibull, exponential, etc.) from censored data.
• Nonparametric survival estimators such as Kaplan-Meier, Nelson-Aalen and Turnbull.
• Pointwise and simultaneous confidence bands for survival and cumulative hazards.

• Semiparametric Cox proportional hazards model fitting and visualization.
• Model fitting and testing with stratification and interaction terms.
• Cox-Snell, martingale, deviance, Schoenfeld, and efficient score residuals.
• Flexible Wald, likelihood-ratio, and score tests for parameter estimates.
• Weighted log-rank tests for equal hazard rates between any number of groups.

• Survival Analysis
• Reliability
• Probability & Statistics

• Reliability
• Random Processes
• Markov Chains and Queues
• Time Series and Stochastic Differential Equations

Mathematica

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