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Analysis of competing risks in the burr XII model in presence of progressive type-II censoring

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In reliability and survival analysis, it is quite common that the failure of any individual or any item may be attributable to more than one cause (competing risks). In this paper, we will study the competing risks in the Burr XII model in the presence of progressive type II censoring scheme. We study the model under the assumption of independent causes of failure. The maximum likelihood estimator was developed to estimate the unknown parameters. The asymptotic distribution of the maximum likelihood estimators is used to construct approximate confidence interval. We also present a simulation study to illustrate the results.

Abstract

In reliability and survival analysis, it is quite common that the failure of any individual or any item may be attributable to more than one cause (competing risks). In this paper, we will study the competing risks in the Burr XII model in the presence of progressive type II censoring scheme. We study the model under the assumption of independent causes of failure. The maximum likelihood estimator was developed to estimate the unknown parameters. The asymptotic distribution of the maximum likelihood estimators is used to construct approximate confidence interval. We also present a simulation study to illustrate the results.

참고문헌 (10)

  1. Balakrishnan N, "Progressive censoring: Theory, Methods and Applications" (2000), Birkh¨auser
  2. Burr I.W, "Cumulative frequncy functions", Ann. Math. Statist, 13, pp.215~232 (1942)
  3. Crowder M.J, "Classical Competing Risks", pp.2001, Chapman and Hall
  4. Dinse G.E, "Non-parametric estimation of partially incomplete time and type of failure data", Biometrics, 38, pp.417~431 (1982)
  5. Hall P, "Theoretical comparison of bootstrap confidence intervals", Ann. Statist, 16, pp.927~953 (1988)
  6. Kundu D, "Analysis of progressively censored competing risk data", Handbook of statistics, 23, pp.331~348 (2004)
  7. Kundu D, "Analysis of incomplete data in presence of competing risks", Journal of Statistical Planning and Inference, 87, pp.221~239 (2000)
  8. Miller R.G, "Survival Analysis" (1981), John Wiley and Sons
  9. Miyakawa M, "Statistical analysis of incomplete data in competing risks model", Journal of Japanese Society Quality Control, 12, pp.49~52 (1982)
  10. Sarhan A, "Analysis of progressive censoring competing risk data with binomial removal", J. Math, 2, pp.965~976 (2008)

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