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

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Modified forms of goodness of fit tests are presented for the logistic distribution using statistics based on the empirical distribution function (EDF). A method to improve the power of the modified EDF goodness of fit tests is introduced based on Ranked Set sampling (RSS). Data are collected via the Ranked Set Sampling (RSS) technique (McIntyre, 1952). Critical values for the logistic distribution with unknown parameters are provided and the powers of the tests are given for a number of alternative distributions. A simulation study is presented to illustrate the power of the new method.

Original languageEnglish
Pages (from-to)385-395
Number of pages11
JournalJournal of Modern Applied Statistical Methods
Volume11
Issue number2
Publication statusPublished - 2012

Fingerprint

Ranked Set Sampling
Logistics/distribution
Empirical Distribution Function
Goodness of Fit Test
Unknown Parameters
Critical value
Simulation Study
Statistics
Alternatives
Empirical distribution
Goodness of fit test
Distribution function
Sampling
Form

Keywords

  • Empirical distribution function
  • Goodness of fit tests
  • Kolmogorov-smirnov statistic
  • Logistic distribution
  • Power
  • Ranked set sample

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Statistics and Probability

Cite this

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

In: Journal of Modern Applied Statistical Methods, Vol. 11, No. 2, 2012, p. 385-395.

Research output: Contribution to journalArticle

Al-Subh, S. A. ; Alodat, M. T. ; Ibrahim, Kamarulzaman ; Jemain, Abdul Aziz. / Modified EDF goodness of fit tests for logistic distribution under SRS and RSS. In: Journal of Modern Applied Statistical Methods. 2012 ; Vol. 11, No. 2. pp. 385-395.
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