39
Views
1
CrossRef citations to date
0
Altmetric
Articles

Algorithm-based distribution of two-sample statistics

&
Pages 563-573 | Received 12 Dec 2015, Accepted 14 May 2016, Published online: 17 Jun 2016

References

  • Ahmad, I. A. 1996. A class of Mann–Whitney–Wilcoxon type statistics. American Statistician 50:324–27.
  • Deshpande, J. V., and S. C. Kochar. 1982. Some competitors of Wilcoxon–Mann–Whitney test for location alternatives. Journal of Indian Statistical Association 19:9–18.
  • Hettmansperger, T. P., and J. W. McKean. 2011. Robust nonparametric statistical methods. London, UK: Arnold.
  • Hollander, M., and D. A. Wolfe. 1999. Nonparametric statistical methods, 2nd ed. New York, NY: Wiley.
  • Kochar, S. C. 1978. A class of distribution free tests for the two sample slippage problem. Communications in Statistics - Theory and Methods 7:1243–52. doi:10.1080/03610927808827708.
  • Kössler, W. 2006a. Nonparametric location tests against restricted alternatives. Germany: Shaker Aachen.
  • Kössler, W. 2006b. Asymptotic power and efficiency of Lepage-type tests for the treatment of combined location-scale alternatives. Informatik-BerichtNr. 200. Berlin, Germany: Humboldt-Universität zu Berlin.
  • Kössler, W., and N. Kumar. 2008. An adaptive test for the two-sample location problem based on U-statistics. Communications in Statistics - Simulation and Computation 37:1329–46. doi:10.1080/03610910801983152.
  • Kowalski, J., and X. M. Tu. 2007. Modern applied U-statistics. New York, NY: Wiley.
  • Kumar, N. 1997. A class of two-sample tests for location based on sub-sample medians. Communications in Statistics - Theory and Methods 26 (4):943–51. doi:10.1080/03610929708831960.
  • Kumar, N., and B. Chattopadhyay. 2013. On the class of U-Statistics based two-sample test for location. Journal of Combinatorics, Information & System Sciences 38:191–201.
  • Kumar, N., A. N. Gill, and A. K. Dhawan. 1994. A class of distribution-free statistics for homogeneity against ordered alternatives. South African Statistical Journal 28:55–65.
  • Kumar, N., R. S. Singh, and O. Ozturk. 2003. A new class of distribution-free tests for location parameters. Sequential Analysis 22:107–28. doi:10.1081/SQA-120022086.
  • Lee, A. J. 1990. U-statistics. Boca Raton, FL: CRC Press.
  • Mann, H. B., and D. R. Whitney. 1947. On a test of whether one of the random variables is stochastically greater than the other. Annals of Mathematical Statistics 18:50–60. doi:10.1214/aoms/1177730491.
  • Puri, M. L., and P. K. Sen. 1971. Nonparametric methods in multivariate analysis. New York: Wiley.
  • Shetty, I. D., and S. V. Bhat. 1993. Some competitors of Mood’s median test for the location alternative. Journal of Karnatak University-Science 37:138–46.
  • Shetty, I. D., and Z. Govindarajulu. 1988. A two-sample test for location. Communications in Statistics - Theory and Methods 17:2389–401. doi:10.1080/03610928808829752.
  • Stephenson, R. W., and M. Ghosh. 1985. Two sample nonparametric tests based on sub-samples. Communications in Statistics - Theory and Methods 14:1669–84. doi:10.1080/03610928508829003.
  • Wilcoxon, F. 1945. Individual comparisons by rank methods. Biometrics 1:80–83. doi:10.2307/3001968.

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.