Bayes approach to study scale parameter of log logistic distribution

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    Scale parameter of Log logistic distribution has been studied using Bayesian approach. Posterior distribution has derived by using non informative prior. Posterior distribution is not in close form so we have work with quadrature numerical integration. Various loss functions has been utilized to derive the Bayes estimators and their corresponding risks. Simulation study has been performed to compare the performance of different estimators.

  • Keywords

    Informative Prior, Bayes Estimates, Posterior Risks, Loss Functions, Monte Carlo simulation.

  • References

      [1] Singh, VP and Guo, H and Yu, FX, "Parameter estimation for 3-parameter log-logistic distribution (LLD3) by Pome.",Stochastic Hydrology and Hydraulics, Vol(7), (1993), pp.163-177

      [2] Seefeldt, Steven S and Jensen, Jens Erik and Fuerst, E Patrick., " Log-logistic analysis of herbicide dose-response relationships.", Weed technology,(1995), pp.218-227.

      [3] Rowinski, Pawel M and Strupczewski, Witold G and Singh, Vijay P, "A note on the applicability of log-Gumbel and log-logistic probability distributions in hydrological analyses: I. Known pdf." Hydrological sciences journal, Vol(47), (2002), pp.107-122

      [4] elsherpieny2013discriminating., "Discriminating between Weibull and log-logistic distributions" International Journal of Innovative Research in Science, Engineering and Technology, Vol(2), (2013), pp.3358-3371

      [5] Akhtar, Md Tanwir and Khan, Athar Ali., "Log-logistic Distribution as a Reliability Model: A Bayesian Analysis. " American Journal of Mathematics and Statistics, Vol(4), (2014), pp.162-170

      [6] Kus, Coskun and Kaya, Mehmet Fedai., "Estimation of Parameters of the Loglogistic Distribution based on Progressive Censoring using the EM Algorithm", Hacettepe Journal of Mathematics and Statistics,Vol(35), (2006)




Article ID: 5184
DOI: 10.14419/ijasp.v3i2.5184

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