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math.ST updates on arXiv.org

What is Learnable in Valiant's Theory of the Learnable? 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Semiparametric transformation model for competing risks data with cure fraction
Sudheesh K Kattumannil, Sreedevi E P, Sankaran P G · 2020-07-05 · via math.ST updates on arXiv.org

We propose a new method for the analysis of competing risks data with long term survivors. The proposed method enables us to estimate the overall survival probability and cure fraction simultaneously. We formulate the effect of covariates on cumulative incidence functions using linear transformation models. Estimating equations based on counting process are developed to estimate regression coefficients. The asymptotic properties of the estimators are studied using martingale theory. An extensive Monte Carlo simulation study is carried out to assess the finite sample performance of the proposed estimators. Finally, we illustrate our method using a real data set.

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