Some results on normalized spacings from restricted families of distributions
Arrangement increasing functions, Failure rate ordering, Joint likelihood ratio ordering, Majorization, Order statistics, Schur functions, Stochastic ordering
Journal of Statistical Planning and Inference
It is well known that the normalized spacings of a random sample from a DFR (IFR) distribution are stochastically increasing (decreasing). In this note we strengthen this result to show that if the parent distribution is DFR, the successive normalized spacing increase in the failure rate ordering (which implies stochastic ordering) sense. We also study the joint distribution of the normalized spacings when the parent observations are not necessarily identical. It is shown that when the observations are independent with (possibly different) log-convex densities, the joint distribution of the normalized spacings is arrangement increasing. © 1995.
Original Publication Date
DOI of published version
Kochar, Subhash C. and Kirmani, S. N.U.A., "Some results on normalized spacings from restricted families of distributions" (1995). Faculty Publications. 4307.