Truncated Midzuno-Sen sampling schemes for estimating distribution functions

Sarjinder Singh, Jong Min Kim, Hakjin Jang, Stephen Horn

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We consider a truncated Midzuno-Sen sampling scheme. The proposed method can be used to estimate the distribution function of a study variable assuming that the distribution function of an auxiliary variable is known. The ratio estimator for estimating the distribution function is shown to remain unbiased. We introduce the first- and second-order inclusion probabilities under the truncated Midzuno-Sen sampling scheme. Numerical examples are provided to support our theoretical results.

Original languageEnglish (US)
Pages (from-to)1096-1110
Number of pages15
JournalCommunications in Statistics: Simulation and Computation
Issue number7
StatePublished - Aug 2011


  • Auxiliary information
  • Estimation of distribution function
  • Midzuno-Sen sampling scheme
  • Ratio type estimators


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