Estimation of confidence interval for survival time using Chebyshev inequality via the bootstrap method

Authors

  • CLEOMACIO MIGUEL SILVA UNIVERSIDADE FEDERAL DE PERNAMBUCO
  • R S Amaral UNIVERSIDADE FEDERAL DE PERNAMBUCO
  • J W Vieira UNIVERSIDADE FEDERAL DE PERNAMBUCO
  • A N C Silva UNIVERSIDADE FEDERAL DE PERNAMBUCO
  • J A S Junior UNIVERSIDADE FEDERAL DE PERNAMBUCO
  • E S Alcoforado UNIVERSIDADE FEDERAL DE PERNAMBUCO

Keywords:

arithemetic mean, standard error, statistical computing

Abstract

When the sample is small (n <30) and assumed that the population is not normally distributed, not the normal distribution or the Student t-distribution can be used in the construction of a confidence interval. In this case, we use the Chebyshev inequality. Statistical analysis of survival, the time variable is not normally distributed. The objective of this study was to use the Chebyshev inequality in the bootstrap method to estimate confidence intervals for analysis of survival time. To this end, we constructed a computer program in C ++ in order to form the bootstrap distribution and calculate the average survival times. The results showed that the Chebyshev inequality when used in conjunction with the bootstrap method consisted in an excellent statistical tool for estimating the range of survival time.

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Published

2012-05-07

How to Cite

SILVA, C. M., Amaral, R. S., Vieira, J. W., Silva, A. N. C., Junior, J. A. S., & Alcoforado, E. S. (2012). Estimation of confidence interval for survival time using Chebyshev inequality via the bootstrap method. Scientia Plena, 8(4(a). Retrieved from https://www.scientiaplena.org.br/sp/article/view/505

Issue

Vol. 8 No. 4(a) (2012): April/Abril 2012

Section

Articles

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