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Goodness-of-fit testing in interval censoring case 1. (English) Zbl 1090.62044
Summary: In the interval censoring case 1, an event occurrence time is unobservable, but one observes an inspection time and whether the event has occurred prior to this time or not. The focus here is to provide tests of goodness-of-fit hypotheses pertaining to the distribution of the event occurrence time. The proposed tests are based on certain marked empirical processes for testing a simple hypothesis and the Stute-Thies-Zhu transformation [W. Stute, S. Thies and L.-X. Zhu, Ann. Stat. 26, No. 5, 1916–1934 (1998; Zbl 0930.62044)] of such a process for fitting a parametric family of distributions. These tests are asymptotically distribution-free, consistent against a large class of fixed alternatives and have nontrivial asymptotic power against a large class of local alternatives. A simulation study is included to exhibit the finite sample level preservation and power behavior.

62G10 Nonparametric hypothesis testing
62G20 Asymptotic properties of nonparametric inference
Full Text: DOI
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