Limit results for ordered uniform spacings

作者：Bairamov Ismihan; Berred Alexandre; Stepanov Alexei^*

来源：Statistical Papers, 2010, 51(1): 227-240.

DOI：10.1007/s00362-008-0134-3

• Uniform distribution
• Order statistics
• Spacings
• Ordered spacings
• Limit theorems

Let Delta (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 = Delta(0,n) < Delta(1,n) < . . . < Delta (n+1,n) , are discussed in the present paper. Distributional and limit results for them are in the focus of our attention.

• 出版日期2010-1