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Precedence-type Test based on Progressively Censored Samples

Author

Listed:
  • N. Balakrishnan

    (McMaster University)

  • Ram C. Tripathi

    (The University of Texas at San Antonio)

  • Nandini Kannan

    (The University of Texas at San Antonio)

  • H. K. T. Ng

    (Southern Methodist University)

Abstract

In this paper, we introduce precedence-type tests for testing the hypothesis that two distribution functions are equal, which is an extension of the precedence life-test rst proposed by Nelson (1963), when the two samples are progressively Type-II censored. The null distributions of the test statistics are derived. Critical values for some combination of sample sizes and censoring schemes for the proposed tests are presented. Then, we present the exact power functions under the Lehmann alternative, and compare the exact power as well as simulated power (under location-shift) of the proposed precedence test based on nonparametric estimates of CDF with other precedence-type tests. We then examine the power properties of the proposed test procedures through Monte Carlo simulations. Two examples are presented to illustrate all the test procedures discussed here. Finally, we make some concluding remarks.

Suggested Citation

  • N. Balakrishnan & Ram C. Tripathi & Nandini Kannan & H. K. T. Ng, 2008. "Precedence-type Test based on Progressively Censored Samples," Working Papers 0054, College of Business, University of Texas at San Antonio.
    • Handle: RePEc:tsa:wpaper:0099mss
    as

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    File URL: http://interim.business.utsa.edu/wps/MSS/0054MSS-213-2008.pdf
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    References listed on IDEAS

    as
    1. N. Balakrishnan & Ram C. Tripathi & Nandini Kannan, 2007. "On the Joint Distribution of Placement Statistics under Progressive Censoring and Applications to Precedence Test," Working Papers 0009, College of Business, University of Texas at San Antonio.
    2. N. Balakrishnan, 2007. "Rejoinder on: Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 290-296, August.
    3. N. Balakrishnan, 2007. "Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 211-259, August.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Precedence test; Product-limit estimator; Type-II progressive censoring; Life-testing; level of significance; power; Lehmann alternative; Monte Carlo simulations;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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