Bharath, Karthik; Pozdnyakov, Vladimir; Dey, Dipak - In: Annals of the Institute of Statistical Mathematics 66 (2014) 2, pp. 369-382
We consider a combination of heavily trimmed sums and sample quantiles which arises when examining properties of clustering criteria and prove limit theorems. The object of interest, which we call the Empirical Cross-over Function, is an L-statistic whose weights do not comply with the requisite...