Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 48, 2014 - Issue 1
88
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Structure-preserving mappings of uniform order statistics

&
Pages 142-158 | Received 10 Jan 2011, Accepted 27 Jun 2012, Published online: 07 Aug 2012

References

  • D. R. Barr T. Davidson, A Kolmogorov–Smirnov test for censored samplesTechnometrics (1973) 15 739–757 doi: 10.1080/00401706.1973.10489108
  • C. Castro-Kuriss D. Kelmansky V. Leiva E. Martinez, A new goodness-of-fit test for censored data with an application in monitoring processesComm. Statist. Simul. Comput. (2009) 38 1161–1177 doi: 10.1080/03610910902833488
  • R.B. D'Agostino M.A. Stephens Goodness-of-Fit-Techniques Marcel Dekker New York 1986
  • V. N. LaRiccia, Asymptotically chi-squared distributed tests of normality for type II censored samplesJ. Amer. Statist. Assoc. (1986) 81 1026–1031 doi: 10.1080/01621459.1986.10478368
  • J. Lim S. Park, Censored Kullback–Leibler information and goodness-of-fit test with type II censored dataJ. Appl. Stat. (2007) 34 1051–1064 doi: 10.1080/02664760701592000
  • D. Lurie H. O. Hartley M. R. Stroud, A goodness of fit test for censored dataComm. Stat. (1974) 3 745–753 doi: 10.1080/03610927408827174
  • A. N. Pettitt M. A. Stephens, Modified Cramér–von Mises statistics for censored dataBiometrika (1976) 63 291–298
  • R. M. Smith L. J. Bain, Correlation type goodness-of-fit statistics with censored samplingComm. Stat. (1976) 5 119–132 doi: 10.1080/03610927608827337
  • T. Fischer U. Kamps, On the existence of transformations preserving the structure of order statistics in lower dimensionsJ. Statist. Plann. Inference (2011) 141 536–548 doi: 10.1016/j.jspi.2010.06.028
  • J. R. Michael W. R. Schucany, A new approach to testing goodness of fit for censored samplesTechnometrics (1979) 21 435–441 doi: 10.1080/00401706.1979.10489813
  • F. J. O'Reilly M. A. Stephens, Transforming censored samples for testing fitTechnometrics (1988) 30 79–86
  • A. Rényi, On the theory of order statisticsActa Math. Hungar. (1953) 4 191–231 doi: 10.1007/BF02127580
  • G. Hajós A. Rényi, Elementary proofs of some basic facts concerning order statisticsActa Math. Hungar. (1954) 5 1–6
  • S. Malmquist, On a property of order statistics from a rectangular distributionSkandinavisk Aktuarietidskrift (1950) 33 214–222
  • R.-D. ReissApproximate Distributions of Order Statistics Springer New York 1989
  • B. C. Arnold N. Balakrishnan H. N. NagarajaA First Course in Order Statistics John Wiley & Sons New York 1992
  • C. T. Lin Y. L. Huang N. Balakrishnan, A new method for goodness-of-fit testing based on type-II right censored samplesIEEE Trans. Reliab. (2008) 57 633–642 doi: 10.1109/TR.2008.2005860
  • T. Fischer, Goodness-of-fit tests for type-II right censored data: Structure preserving transformations and power studies RWTH Aachen University 2010 Ph.D. diss.
  • Y. Marhuenda D. Morales M. Pardo, A comparison of uniformity testsStatistics (2005) 39 315–328 doi: 10.1080/02331880500178562
  • C. P. Quesenberry F. L. Miller, Power studies of some tests for uniformityJ. Statist. Comput. Simul. (1977) 5 169–191 doi: 10.1080/00949657708810150
  • M. A. Stephens, EDF statistics for goodness of fit and some comparisonsJ. Amer. Statist. Assoc. (1974) 69 730–737 doi: 10.1080/01621459.1974.10480196
  • J. AczélLectures on Functional Equations and Their Applications 2nd ed. Academic Press, New York/London, 1966

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.