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Contributions to order statistics /

Основен автор: Sarhan, Ahmad E.
Други автори: Greenberg, Bernard G., (joint ed.)
Формат: Книга
Език: English
Публикувано: New York : Wiley, [1962]
Серия: Wiley publication in applied statistics.
Предмети:
Подобни документи: Online version:: Contributions to order statistics.
Съдържание:
  • Part I: General theory (over-all survey of general nature)
  • Distribution and moments of order statistics
  • Generalized least-square theorem
  • Approximation to the best linear estimates
  • Approximation of least-squares estimates of location and scale parameters
  • Nearly best linear estimates of location and scale parameters
  • Estimation of the location and scale parameters by sample quantiles (for large samples)
  • Statistical theory of extreme values (main results)
  • Special problems in testing hypotheses
  • Order statistics in short-cut tests
  • The closest two out of three observations
  • Nonparametric two out of three observations
  • Nonparametric confidence intervals and tolerance regions
  • Multiple decisions and multiple comparisons
  • Part II: Specific applications
  • Normal distribution
  • The moments of the order statistics and of the range in samples from normal populations
  • Tables of lower moments of order statistics for samples from the normal distribution
  • The best linear estimates for the parameters of the normal distribution
  • Simple estimates of the mean and standard deviation of a normal population
  • Determinations of optimum spacings in the case of normal distribution
  • Estimation of correlation coefficient by order statistics
  • Tests of significance using sample quantiles
  • Rejection of observations
  • Exponential distribution
  • Moments of order statistics
  • Best linear unbiased estimates
  • Simple estimates of the parameters of exponential distributions
  • Optimum spacing and grouping for the exponential distribution
  • Tests of significance and confidence intervals
  • Other distributions
  • Rectangular distribution
  • Certain symmetric distributions
  • Extreme-value distribution
  • Gamma distribution
  • Right triangular distribution.