Hira L. Koul, Michigan State University

Goodness-of-fit testing in interval censoring case 1

In the interval censoring case 1, instead of observing an event occurrence time X, one observes an inspection time T and whether the event has happened before or after the time T. We shall discuss asymptotically distribution free tests of
goodness-of-fit hypotheses pertaining to the d.f. F of X. These tests are shown to be also consistent against a large class of fixed alternatives and have nontrivial asymptotic power against a large class of local alternatives.