Advanced search
Publication Cover
Journal of Statistical Computation and Simulation Volume 80, 2010 - Issue 7
Submit an article Journal homepage
169
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

Efficiency of ranked set sampling in entropy estimation and goodness-of-fit testing for the inverse Gaussian law

Mahdi Mahdizadeh Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, Iran
&
N. R. Arghami Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, IranCorrespondence[email protected]
Pages 761-774 | Received 07 Jul 2008, Accepted 23 Jan 2009, Published online: 25 Aug 2009

References

  • McIntyre , G. A. 1952 . A method of unbiased selective sampling using ranked sets . Austral. J. Agric. Res. , 3 : 385 – 390 .
  • Patil , G. P. , Sinha , A. K. and Taillie , C. 1999 . Ranked set sampling: a bibliography . Environ. Ecol. Statist. , 6 : 91 – 98 .
  • Takahasi , K. and Wakimoto , K. 1968 . On unbiased estimates of the population mean based on the sample stratified by means of ordering . Ann. Inst. Statist. Math. , 21 : 249 – 255 .
  • Dell , T. R. and Clutter , J. L. 1972 . Ranked set sampling theory with order statistics background . Biometrics , 28 : 545 – 555 .
  • Stokes , S. L. 1980 . Estimation of variance using judgement ordered ranked set samples . Biometrics , 36 : 35 – 42 .
  • MacEachren , S. N. , Ozturk , O. , Wolfe , D. A. and Stark , G. V. 2000 . A new ranked set sample estimator of variance . J. R. Statist. Soc. B. , 64 : 177 – 188 .
  • Stokes , S. L. and Sager , T. W. 1988 . Characterization of a ranked-set sample with application to estimating distribution function . J. Amer. Statist. Assoc. , 83 : 374 – 381 .
  • Bohn , L. L. and Wolfe , D. A. 1992 . Non-parametric two-sample procedures for ranked-set samples data . J. Amer. Statist. Assoc. , 87 : 552 – 561 .
  • Al-Saleh , M. F. and Al-Kadiri , M. 2000 . Double ranked set sampling . Statist. Probab. Lett. , 48 : 205 – 212 .
  • Al-Saleh , M. F. and Al-Omari , A. E. 2002 . Multistage ranked set sampling . J. Statist. Plann. Inference , 102 : 273 – 286 .
  • Vasicek , O. 1976 . A test of normality based on sample entropy . J. R. Statist. Soc. B. , 38 : 54 – 59 .
  • Ebrahimi , N. , Habibullah , M. and Soofi , E. S. 1992 . Testing exponentiality based on Kullback–Leibler information . J. R. Statist. Soc. B. , 54 : 739 – 748 .
  • Grzegorzewski , P. and Wieczorkowski , R. 1999 . Entropy based goodness-of-fit test for exponentiality . Commun. Statist.-Theory Methods , 28 : 1183 – 1202 .
  • Amini , M. , Mahdizadeh , M. and Arghami , N. R. 2008 . Improved estimator of the entropy and goodness-of-fit tests in ranked set sampling . (submitted)
  • Mudholkar , G. S. and Tian , L. 2002 . An entropy characterization of the inverse Gaussian distribution and related goodness-of-fit test . J. Statist. Plann. Inference , 102 : 211 – 221 .
  • Bohn , L. L. and Wolfe , D. A. 1994 . The effect of imperfect judgement rankings on properties of procedures based on the ranked-set samples analog of the Mann–Whitney–Wilcoxon statistic . J. Amer. Statist. Assoc. , 89 : 168 – 176 .
  • Presnell , B. and Bohn , L. L. 1999 . U-statistics and imperfect ranking . J. Nonpar. Statist. , 10 : 111 – 126 .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.