Research Article Open Access

The Development of Parameter Estimation on Hazard Rate of Trivariate Weibull Distribution

Irfan Wahyudi1, Purhadi1, Irhamah 1 and Sutikno 1
  • 1 , Indonesia
Current Research in Biostatistics
Volume 2 No. 2, 2011, 26-35

DOI: https://doi.org/10.3844/amjbsp.2011.26.35

Published On: 11 August 2012

How to Cite: Wahyudi, I., Purhadi, Irhamah, & Sutikno, (2011). The Development of Parameter Estimation on Hazard Rate of Trivariate Weibull Distribution. Current Research in Biostatistics, 2(2), 26-35. https://doi.org/10.3844/amjbsp.2011.26.35

Abstract

In this study, the interrelation concepts of trivariate distribution function, trivariate survival function, trivariate probability density function and trivariate hazard rate function of trivariate Weibull distribution are presented. The goal of this contribution is to estimate the trivariate Weibull hazard rate parameters. To reach this goal, we will use an analitical approach in estimating called the Maximum Likelihood Estimation (MLE) method. Using numerical iterative procedure the scale parameters, the shape parameters and the power parameter estimators on trivariate hazard rate of trivariate Weibull distribution must be obtained. The MLE technique estimates accurately the trivariate Weibull hazard rate parameters.

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Keywords

  • Trivariate Weibull Distribution
  • Parameter Estimation
  • Trivariate Weibull Hazard Rate
  • Maximum Likelihood Estimation (MLE)