A Note on Spacings

  • Kim, S.H. (Department of Statistics and Information, Anyang University)
  • Published : 2000.12.01

Abstract

In this paper, it will be shown that if the distribution function F of X is increasing (decresign) failure rate, then the spacings are engatively( Positively) dependent. Some numberical exmamples are illustrated.

References

  1. Statistical Theory of Reliability and Life Testing Barlow, R.E.;Proschan, F.
  2. Order Statistics(2nd ed.) David, H.A.
  3. Journal of Statistical Planning and Inference v.24 On the dependence structure of order statistics and concomitants of order statistics Kim, S.H.;David, H.A.
  4. Skand. Aktuarietidskr v.49 Exact moments of order statistics from the Pareto distribution Malik, H.J.
  5. Biometrika v.61 Variances and covariances of order statistics from the gamma distribution Prescott, P.
  6. Spacings. J.R. Statist. Soc. B v.27 Pyke, R.
  7. Ann. Math. Statist. v.29 A problem of Berkson, and minimum variance orderly estimators Tukey, J.W.
  8. J.R. Statist. Soc. B v.55 no.1 Large sample theory of spacings statistics for tests of fit for composite hypothesis Wells, M.T.