Simple Unequal Allocation Procedure for Ranked Set Sampling with Skew Distributions

Dinesh Bhoj, Girish Chandra

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A practical unbalanced Ranked Set Sampling (RSS) model is proposed to estimate the population mean of positively skewed distributions. The gains in the relative precisions of the population mean based on the proposed model for chosen distributions are uniformly higher than those based on balanced RSS and the t-model proposed in Kaur et al. (1997). The relative precisions of the simple unequal allocation model are, with one exception, better than (s, t)-model which is better than t-model. The relative precision of the proposed model is very close or equal to the optimal Neyman allocation model

Original languageEnglish (US)
Pages (from-to)2-15
Number of pages14
JournalJournal of Modern Applied Statistical Methods
Volume18
Issue number2
DOIs
StatePublished - 2019

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Keywords

  • Gamma distribution
  • lognormal distribution
  • Pareto distribution
  • relative precision
  • skew distributions with heavy right tails
  • unequal allocation model
  • Weibull distribution

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