Goodness-of-fit testing with doubly truncated data: some recent developments

J. de Uña Álvarez

Doubly truncated data appear in Epidemiology, Survival Analysis, Reliability Engineering, Astronomy and Economics, among other fields. With doubly truncated data inference is typically performed through the Efron-Petrosian nonparametric maximum-liklihood estimator, a non-explicit estimator with complicated asymptotic properties. In this talk I will introduce some recent developments in goodness-of-fit testing under double truncation. This includes testing for a fully or parametrically specified distribution of the target variable; testing for a parametric model for the truncation couple (which is needed in the semiparametric double truncation model); testing for an ignorable sampling bias on the target outcome; and testing for regression models. Theoretical results will be discussed. Simulation studies and real data illustrations will be given.

Keywords: bootstrap approximation, Interval sampling, random truncation, Survival Analysis, nonparametric statistics

Scheduled

Invited Session Recent advances in goodness-of-fit and k-sample tests
June 10, 2022  10:10 AM
A13

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C. Tenreiro

Testing for order among K binomial populations

A. M. Franco Pereira, M. C. Pardo Llorente, C. T. Nakas

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