We develop a general framework for the probabilistic analysis of random finite point clouds in context topological data analysis. extend notion barcode cloud to compact metric spaces. Such lives completion space barcodes with respect bottleneck distance, which is quite natural from an analytic view. As application we prove that i.i.d. variables sampled converge support their distribution when n...

Multiple Indicator Cluster Surveys (MICS), supported by UNICEF, are one of the most important global household survey programs that provide data on health and education women children. We analyze Serbia 2014–2015 MICS dataset using topological analysis which treats cloud as a space extracts information about its intrinsic geometric properties. In particular, our uses Mapper algorithm, dimension...

In clinical trials nonparametric analysis methods are sometimes used to assess the differences between treatment groups. Most people use either the NPAR1WAY procedure or the FREQ procedure to perform nonparametric analysis. However, no procedures currently exist within SAS software to produce a nonparametric estimate of the difference between treatment groups or a confidence interval to assess ...