کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1154215 958376 2008 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Empirical saddlepoint approximations of the Studentized mean under stratified random sampling
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Empirical saddlepoint approximations of the Studentized mean under stratified random sampling
چکیده انگلیسی

We obtain a saddlepoint approximation for the Studentized mean under stratified random sampling. This is of theoretical interest only, since its calculation requires knowledge of the entire population. We also obtain an empirical saddlepoint approximation based on the stratified sample alone. This empirical approximation can be used for tests of significance and confidence intervals for the population mean and can be regarded as a saddlepoint approximation to a bootstrap approximation. We compare the empirical approximation to the true saddlepoint approximation, both theoretically, to obtain results on the relative error of the bootstrap, and numerically, using Monte Carlo methods to compare the true and bootstrap distributions with the saddlepoint approximations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 78, Issue 4, March 2008, Pages 396–401
نویسندگان
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