Let Δk:n = Xk,n − Xk-1,n (k = 1, 2, . . . , n + 1) be the spacings based on uniform order statistics, provided X0,n = 0 and Xn+1,n = 1. Obtained from uniform spacings, ordered uniform spacings 0 = Δ0,n < Δ1,n < . . . < Δn+1,n, are discussed in the present paper. Distributional and limit results for them are in the focus of our attention.
Uniform distribution Order statistics Spacings Ordered spacings Limit theorems
Mathematics Subject Classification (2000)
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