On Sequential Confidence Intervals Based on Wilcoxon Type Estimates

Confidence Intervals for Lower Quantiles Based on Two-Sample Scheme

In this paper, a new two-sampling scheme is proposed to construct appropriate confidence intervals for the lower population quantiles. The confidence intervals are determined in the parametric and nonparametric set up and the optimality problem is discussed in each case. Finally, the proposed procedure is illustrated via a real data set. 

Image Segmentation Based on Statistical Confidence Intervals

Image segmentation is defined as a partition realized to an image into homogeneous regions to modify it into something that is more meaningful and softer to examine. Although several segmentation approaches have been proposed recently, in this paper, we develop a new image segmentation method based on the statistical confidence interval tool along with the well-known Otsu algorithm. According t...

Confidence Intervals Based on Robust Estimators

Distribution Free Confidence Intervals for Quantiles Based on Extreme Order Statistics in a Multi-Sampling Plan

Extended Abstract. Let Xi1 ,..., Xini   ,i=1,2,3,....,k  be independent random samples from distribution $F^{alpha_i}$،  i=1,...,k, where F is an absolutely continuous distribution function and $alpha_i>0$ Also, suppose that these samples are independent. Let Mi,ni and  M'i,ni  respectively, denote the maximum and minimum of the ith sa...

On Increasing Confidence in Confidence Intervals

A set of N data elements (xI +•.• + X~)/N and variance of the th The r moment of the data elements elements is used to estimate E(xr ). th r x1' •.•• xN has r moment E(x)= th r 2r 2 r r moment Var(x ) = E(x )-E (x ). in an arbitrary subset of k Over all the choices of the sample, the mean error is zero and the mean squared error N-k r k(N-I) Var(x). A little-known theorem by Marlow shows that t...