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Point and interval estimation under progressive type-I interval censoring with random removal

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  • Sonal Budhiraja

    (Indian Statistical Institute)

  • Biswabrata Pradhan

    (Indian Statistical Institute)

Abstract

This work considers point and interval estimation based on data from a life test under progressive type-I interval censoring with random removal. The asymptotic properties of the maximum likelihood estimators (MLEs) are established under appropriate regularity conditions. Asymptotic confidence intervals and $$\beta $$β-content $$\gamma $$γ-level tolerance interval are obtained by using the asymptotic normality of MLEs. A simulation study is undertaken to assess the performance of the MLEs, confidence intervals and tolerance interval. Lastly, the minimum sample size required to achieve a desired $$\beta $$β-content $$\gamma $$γ-level tolerance interval is determined.

Suggested Citation

  • Sonal Budhiraja & Biswabrata Pradhan, 2020. "Point and interval estimation under progressive type-I interval censoring with random removal," Statistical Papers, Springer, vol. 61(1), pages 445-477, February.
    • Handle: RePEc:spr:stpapr:v:61:y:2020:i:1:d:10.1007_s00362-017-0948-y
    DOI: 10.1007/s00362-017-0948-y
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    References listed on IDEAS

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