کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1149061 | 957861 | 2006 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Simultaneous confidence intervals for the successive ratios of scale parameters
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Simultaneous confidence intervals for the successive ratios of scale parameters Simultaneous confidence intervals for the successive ratios of scale parameters](/preview/png/1149061.png)
چکیده انگلیسی
Consider k(k⩾3) independent populations Ï1,â¦,Ïk such that the observations from populations Ïi follow distribution with cumulative distribution function (cdf) Fi(x)=F[(x-μi)/θi], where F(.) is any absolutely continuous cdf, i=1,â¦,k. It is assumed that scale parameters θ's satisfy a simple ordering, e.g., populations may be the outcome of successive runs of production process in quality control where it is the endeavor of the management to reduce the variation or spread in the quality of the product by adjusting the machine. In such situations, the interest of the experimenter may be in the pairwise comparisons. In this paper, one-sided and two-sided simultaneous confidence intervals for the ratios θ2/θ1,â¦,θk/θk-1 are proposed. A recursive method to compute the required critical points for the simultaneous confidence intervals is demonstrated by taking k two-parameter exponential distributions. The required points are tabulated and the uses of these points for variance ratios for Normal probability model and Pareto and Gamma probability model are discussed. Finally, the application of the proposed procedure is illustrated with an example.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 136, Issue 3, 1 March 2006, Pages 1007-1019
Journal: Journal of Statistical Planning and Inference - Volume 136, Issue 3, 1 March 2006, Pages 1007-1019
نویسندگان
Parminder Singh,