Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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On Characterizing Distributions by Some Properties of the Distribution Truncated at the rth order Statistic

  • Sangun Park (Department of Applied Statistics, Yonsei University, Shinchon Dong 134, Seoul, KOREA)
  • Published : 1994.12.01
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Abstract

When we have an i.i.d. sample of size n from a continuous distribution, the distribution truncated on the left at the rth order statistic plays an important role in the theoretical analysis of the Type 2 censored data. The charaterization of distributions by the average of the conditional expectation and the average of the conditional information concerning the truncated distribution is studied here.

Keywords

References

  1. Annals of Statistics v.3 Characterization of distributions by sets of moments of order statistics Arnold, B. C.;Meeden, G.
  2. American Mathematics Monthly v.74 On a characterization of distributions by expected values of extreme order statistics Chan, L. K.
  3. Sankhya A v.29 On characterizing of distributions by properties of order statistics Ferguson, T. S.
  4. Annals of Mathematical Statistics v.24 On the distribution of the expected values of the order statistics Hoeffding, W.
  5. Annals of Mathematical Statistics v.42 A moment problems for order statistics Kodane, J. B.
  6. Recurrence relations for the Fisher information in order statistics and information plot Park, S.
  7. Asymptotic relation arising in the decomposition of likelihood of order statistics Park, S.
  8. Annals of Statistics v.2 A characterization of the Pareto distribution Revankar, N.;Hartley, M.;Pagano, M.
  9. Journal of the American Statistical Association v.65 The characterizations for exponential and geometric distributions Shanbag, D. N.
  10. Annals of Statistics v.8 A characterizations of the exponential and related distributions by linear regression Wang, Y. H.;Srivastava, R. C.