Modified EDF goodness of fit tests for logistic distribution under SRS and ERSS

Kamarulzaman Ibrahim, M. T. Alodat, Abdul Aziz Jemain, S. A. Al-Subh

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The Extreme Ranked Set Sampling (ERSS), which was introduced by Samawi et al. (1996), is a modification of the Ranked Set Sampling (RSS) of McIntyre (1952). In this paper, we study the power of a set of modified Empirical Distribution Function (EDF) goodness of fit tests under both Simple Random Sampling (SRS) and ERSS. A simulation study is conducted to compare the power functions of these tests to SRS counterparts.

Original languageEnglish
Pages (from-to)2175-2194
Number of pages20
JournalApplied Mathematical Sciences
Volume3
Issue number41-44
Publication statusPublished - 2009

Fingerprint

Ranked Set Sampling
Logistics/distribution
Simple Random Sampling
Empirical Distribution Function
Goodness of Fit Test
Set theory
Distribution functions
Logistics
Extremes
Sampling
Power Function
Simulation Study

Keywords

  • Empirical distribution function
  • Goodness of fit tests
  • Kolmogorov-Smirnov test
  • Logistic distribution
  • Power function
  • Ranked set sampling

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Ibrahim, K., Alodat, M. T., Jemain, A. A., & Al-Subh, S. A. (2009). Modified EDF goodness of fit tests for logistic distribution under SRS and ERSS. Applied Mathematical Sciences, 3(41-44), 2175-2194.

Modified EDF goodness of fit tests for logistic distribution under SRS and ERSS. / Ibrahim, Kamarulzaman; Alodat, M. T.; Jemain, Abdul Aziz; Al-Subh, S. A.

In: Applied Mathematical Sciences, Vol. 3, No. 41-44, 2009, p. 2175-2194.

Research output: Contribution to journalArticle

Ibrahim, K, Alodat, MT, Jemain, AA & Al-Subh, SA 2009, 'Modified EDF goodness of fit tests for logistic distribution under SRS and ERSS', Applied Mathematical Sciences, vol. 3, no. 41-44, pp. 2175-2194.
Ibrahim, Kamarulzaman ; Alodat, M. T. ; Jemain, Abdul Aziz ; Al-Subh, S. A. / Modified EDF goodness of fit tests for logistic distribution under SRS and ERSS. In: Applied Mathematical Sciences. 2009 ; Vol. 3, No. 41-44. pp. 2175-2194.
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