We develop composite estimators and its large sample properties for the additive risk model with length-biased and right-censored data. We also conduct simulation studies to confirm the good finite sample performance of our methods and then give a real data example.

<Para ID="Par1">For a linear regression model subject to left-truncation and right-censoring where the truncation and censoring points are known constants (or always observed if random), Karlsson and Laitila (Stat Probab Lett 78:2567–2571, <CitationRef CitationID="CR3">2008</CitationRef>) proposed a semiparametric estimator which deals with...</citationref></para>

While the currently available estimators for the conditional Kendall’s tau measure of association between truncation and failure are valid for testing the null hypothesis of quasi-independence, they are biased when the null does not hold. This is because they converge to quantities that depend...

Semi-competing risks data frequently arise in biomedical studies when time to a disease landmark event is subject to dependent censoring by death, the observation of which however is not precluded by the occurrence of the landmark event. In observational studies, the analysis of such data can be...

A question of significant interest in female reproductive aging is to identify bleeding criteria for the menopausal transition. Although various bleeding criteria, or markers, have been proposed for the menopausal transition, their validity has not been adequately examined. The Tremin Trust data...

Many studies have explored the determinants of entering into entrepreneurship and the differences in self-employment rates across racial and ethnic groups. However, very little is known about the survival in entrepreneurship of immigrants to the U.S. and their descendants. Employing data from...