کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1147499 957766 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Isotonic L2-projection test for local monotonicity of a hazard
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Isotonic L2-projection test for local monotonicity of a hazard
چکیده انگلیسی

We introduce a test statistic for testing the null hypothesis that the sampling distribution has a strictly increasing hazard rate on a specified interval [a,b][a,b]. It is based on a comparison of the empirical distribution function with a shape-constrained estimate, using the restriction that the hazard is increasing. Its asymptotic (normal) distribution was recently derived in Groeneboom and Jongbloed (submitted for publication). We discuss a bootstrap method for computing the critical values and compare the test, thus obtained, with other recently proposed methods in a simulation study. Moreover, we prove that the bootstrap method works asymptotically. In proving that the (smooth and isotonic) bootstrap method works, we derive some results that seem to be of independent interest.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 142, Issue 7, July 2012, Pages 1644–1658
نویسندگان
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