On distribution function estimation using double ranked set samples with application

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Abstract

As a variation of ranked set sampling (RSS); double ranked set sampling (DRSS) was introduced by Al-Saleh and Al-Kadiri (2000), and it has been used only for estimating the mean of the population. In this paper DRSS will be used for estimating the distribution function (cdf). The efficiency of the proposed estimators will be obtained when ranking is perfect. Some inference on the distribution function will be drawn based on Kolomgrov-Smirnov statistic. It will be shown that using DRSS will increase the efficiency in this case.

Original languageEnglish
Pages (from-to)443-451
Number of pages9
JournalJournal of Modern Applied Statistical Methods
Volume1
Issue number2
DOIs
StatePublished - 2002

Scopus Subject Areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Keywords

  • Distribution function estimation
  • Double ranked set sample
  • Kolomgrov-Smirnov
  • Ranked set

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