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Limit results for ordered uniform spacings |
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| Authors: | Ismihan Bairamov Alexandre Berred Alexei Stepanov |
| Institution: | 1. Department of Mathematics, Izmir University of Economics, 35330, Balcova, Izmir, Turkey 2. Faculté des Sciences et Techniques, Université du Havre, B. P. 540, 76058, Le Havre Cedex, France 3. Department of Mathematics, Kaliningrad State Technical University, Sovietsky Prospect 1, Kaliningrad, 236000, Russia |
| Abstract: | Let Δ k:n = X k,n − X k-1,n (k = 1, 2, . . . , n + 1) be the spacings based on uniform order statistics, provided X 0,n = 0 and X n+1,n = 1. Obtained from uniform spacings, ordered uniform spacings 0 = Δ0,n < Δ1,n < . . . < Δ n+1,n , are discussed in the present paper. Distributional and limit results for them are in the focus of our attention. |
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