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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