Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1149061 | Journal of Statistical Planning and Inference | 2006 | 13 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Parminder Singh,