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Nonparametric Inferential Issues in Progressive Type-II Censoring

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The Art of Progressive Censoring

Part of the book series: Statistics for Industry and Technology ((SIT))

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Abstract

Nonparametric statistical tests are reviewed. This includes precedence-type tests as well as test for hazard rate ordering.

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References

  1. Balakrishnan N, Bordes L (2004) Non-parametric hazard rate estimation under progressive Type-II censoring. In: Balakrishnan N, Rao CR (eds) Advances in survival analysis. Handbook of statistics, vol 23. Elsevier, Amsterdam, pp 227–249

    Chapter  Google Scholar 

  2. Balakrishnan N, Ng HKT (2006) Precedence-type tests and applications. Wiley, Hoboken

    Book  MATH  Google Scholar 

  3. Balakrishnan N, Tripathi RC, Kannan N (2008c) On the joint distribution of placement statistics under progressive censoring and applications to precedence test. J Stat Plan Infer 138:1314–1324

    Article  MATH  MathSciNet  Google Scholar 

  4. Balakrishnan N, Tripathi RC, Kannan N, Ng, HKT (2010e) Some nonparametric precedence-type tests based on progressively censored samples and evaluation of power. J Stat Plan Infer 140:559–573

    Article  MATH  MathSciNet  Google Scholar 

  5. Burkschat M, Cramer E, Kamps U (2003) Dual generalized order statistics. Metron 61: 13–26

    MathSciNet  Google Scholar 

  6. Gibbons J, Chakraborti S (2003) Nonparametric statistical inference. Taylor & Francis, Philadelphia

    MATH  Google Scholar 

  7. Kaplan EL, Meier P (1958) Nonparametric estimation from incomplete observations. J Am Stat Assoc 53:457–481

    Article  MATH  MathSciNet  Google Scholar 

  8. Kochar SC (1981) A new distribution-free test for the equality of two failure rates. Biometrika 68:423–426

    Article  MATH  MathSciNet  Google Scholar 

  9. Maturi TA, Coolen-Schrijner P, Coolen FP (2010) Nonparametric predictive comparison of lifetime data under progressive censoring. J Stat Plan Infer 140:515–525

    Article  MATH  MathSciNet  Google Scholar 

  10. Nelson LS (1963) Tables for a precedence life test. Technometrics 5:491–499

    Article  MATH  Google Scholar 

  11. Nelson LS (1986) Precedence life test. In: Kotz S, Johnson NL (eds) Encyclopedia of statistical science, vol 7. Wiley, New York, pp 134–136

    Google Scholar 

  12. Nelson W (1982) Applied life data analysis. Wiley, New York

    Book  MATH  Google Scholar 

  13. Ng HKT, Balakrishnan N (2002) Wilcoxon-type rank-sum precedence tests: large-sample approximation and evaluation. Appl Stoch Models Bus Ind 18:271–286

    Article  MATH  MathSciNet  Google Scholar 

  14. Ng HKT, Balakrishnan N (2004) Wilcoxon-type rank-sum precedence tests. Aust N Z J Stat 46:631–648

    Article  MATH  MathSciNet  Google Scholar 

  15. Ng HKT, Balakrishnan N (2005) Weighted precedence and maximal precedence tests and an extension to progressive censoring. J Stat Plan Infer 135:197–221

    Article  MATH  MathSciNet  Google Scholar 

  16. Ng HKT, Balakrishnan N (2006) Precedence testing. In: Kotz S, Balakrishnan N, Read CB, Vidakovic B (eds) Encyclopedia of statistical science, vol 9, 2nd edn. Wiley, Hoboken, pp 6317–6323

    Google Scholar 

  17. Ng HKT, Balakrishnan N (2010) Precedence-type test based on Kaplan-Meier estimator of cumulative distribution function. J Stat Plan Infer 140:2295–2311

    Article  MATH  MathSciNet  Google Scholar 

  18. Sharafi M, Balakrishnan N, Khaledi BE (2013) Distribution-free comparison of hazard rates of two distributions under progressive type-II censoring. J Stat Comput Simul 83: 1527–1542

    Article  MathSciNet  Google Scholar 

  19. Watson GS, Leadbetter MR (1964a) Hazard analysis. I. Biometrika 51:175–184

    Article  MATH  MathSciNet  Google Scholar 

  20. Watson GS, Leadbetter MR (1964b) Hazard analysis II. Sankhyā Ser A 26:101–116

    MATH  MathSciNet  Google Scholar 

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Balakrishnan, N., Cramer, E. (2014). Nonparametric Inferential Issues in Progressive Type-II Censoring. In: The Art of Progressive Censoring. Statistics for Industry and Technology. Birkhäuser, New York, NY. https://doi.org/10.1007/978-0-8176-4807-7_21

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