On dispersive ordering between order statistics in one-sample and two-sample problems Article

Khaledi, BE, Kochar, S. (2000). On dispersive ordering between order statistics in one-sample and two-sample problems . STATISTICS & PROBABILITY LETTERS, 46(3), 257-261. 10.1016/S0167-7152(99)00110-8

cited authors

  • Khaledi, BE; Kochar, S

authors

abstract

  • Let Xi:n denote the ith-order statistic of a random sample of size n from a continuous distribution with distribution function F. It is shown that if F is a decreasing failure rate (DFR) distribution, then Xi:n is less dispersed than Xj:m for i≤j and n-i≥m-j. Let Yj:m denote the jth-order statistic of a random sample of size m from a continuous distribution G. We prove that if F is less dispersed than G and either F or G is DFR, then Xi:n is less dispersed than Yj:m for i≤j and n-i≥m-j. © 2000 Elsevier Science B.V.

publication date

  • February 1, 2000

published in

Digital Object Identifier (DOI)

start page

  • 257

end page

  • 261

volume

  • 46

issue

  • 3