Advertisement

Simulation of Progressively Censored Order Statistics

  • N. Balakrishnan
  • Erhard Cramer
Chapter
Part of the Statistics for Industry and Technology book series (SIT)

Abstract

Several accounts to the simulation of progressively censored data are presented. This includes procedures mimicking the generation process ofprogressively censored order statistics as well as methods based on the quantile representation.

Keywords

Order Statistic Beta Variable Quantile Function Uniform Random Variable Generate Order Statistic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 11.
    Aggarwala R (2001) Progressive interval censoring: some mathematical results with applications to inference. Comm Stat Theory Meth 30:1921–1935CrossRefMATHMathSciNetGoogle Scholar
  2. 58.
    Arnold BC, Balakrishnan N, Nagaraja HN (1992) A first course in order statistics. Wiley, New YorkMATHGoogle Scholar
  3. 86.
    Balakrishnan N, Aggarwala R (2000) Progressive censoring: theory, methods, and applications. Birkhäuser, BostonCrossRefGoogle Scholar
  4. 122.
    Balakrishnan N, Sandhu RA (1995) A simple simulational algorithm for generating progressive Type-II censored samples. Am Stat 49:229–230Google Scholar
  5. 337.
    Devroye L (1986) Non-uniform random variate generation. Springer, New YorkCrossRefMATHGoogle Scholar
  6. 450.
    Horn PS, Schlipf JS (1986) Generating subsets of order statistics with applications to trimmed means and means of trimmings. J Stat Comput Simul 24:83–97CrossRefMATHGoogle Scholar
  7. 514.
    Kemp CD, Kemp W (1987) Rapid generation of frequency tables. Appl Stat 36:277–282CrossRefGoogle Scholar
  8. 621.
    Lurie D, Hartley HO (1972) Machine-generation of order statistics for Monte Carlo computations. Am Stat 26:26–27Google Scholar
  9. 622.
    Lurie D, Mason RL (1973) Empirical investigation of several techniques for computer generation of order statistics. Comm Stat 2:363–371CrossRefMATHGoogle Scholar
  10. 737.
    Ramberg JS, Tadikamalla PR (1978) On the generation of subsets of order statistics. J Stat Comput Simul 7:239–241CrossRefGoogle Scholar
  11. 787.
    Schucany WR (1972) Order statistics in simulation. J Stat Comput Simul 1:281–286CrossRefMATHMathSciNetGoogle Scholar
  12. 831.
    Tadikamalla PR, Balakrishnan N (1998) Computer simulation of order statistics. In: Balakrishnan N, Rao CR (eds) Order statistics: theory and methods. Handbook of statistics, vol 16. Elsevier, Amsterdam, pp 65–74Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • N. Balakrishnan
    • 1
  • Erhard Cramer
    • 2
  1. 1.Department of Mathematics and StatisticsMcMaster UniversityHamiltonCanada
  2. 2.Institute of StatisticsRWTH Aachen UniversityAachenGermany

Personalised recommendations