2007/05/25 by D. H. Glueck, Deborah H. Glueck, A. Karimpour-Fard +7
Computer Science · Mathematics · #Bayesian Methods and Mixture Models #Block (permutation group theory) #Computation #Cumulative distribution function #Distribution (mathematics) #Exponential function #Function (biology) #Joint probability distribution #Order (exchange) #Order statistic #Statistical Distribution Estimation and Applications #Statistical Methods and Bayesian Inference #math.PR #math.ST #msc:65C50 #stat.CO #stat.TH
paper · pdf · doi:10.1080/03610920802001896
published as Communications in Statistics - Theory and Methods 37 (18): 2815-2824 2008 · 21 pages, 3 figures
arxiv created 2007/05/25 · openalex publication_date 2008/07/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The joint cumulative distribution function for order statistics arising from several different populations is given in terms of the distribution functions of the populations. The computational cost of our formula in the case of two populations is still exponential in the worst case, but it is a dramatic improvement compared to the general formula by Bapat and Beg. In the case when only the joint distribution function of a subset of the order statistics of fixed size is needed, the complexity is polynomial, for the case of two populations.