Earticle

초록

영어

Nakagami distribution is a flexible lifetime distribution that may offer a good fit to some failure data sets. It has applications in attenuation of wireless signals traversing multiple paths, deriving unit hydrographs in hydrology, medical imaging studies etc. In this research, we obtain Bayesian estimators of the scale parameter of Nakagami distribution. For the posterior distribution of this parameter, we consider Uniform, Inverse Exponential and Levy priors. The three loss functions taken up are Squared Error Loss Function (SELF), Quadratic Loss Function (QLF) and Precautionary Loss Function (PLF). The performance of an estimator is assessed on the basis of its relative posterior risk. Monte Carlo Simulations are used to compare the performance of the estimators. It is discovered that the PLF produces the least posterior risk when uniform priors is used. SELF is the best when inverse exponential and Levy Priors are used.

목차

Abstract
 1. Introduction
 2. Posterior Distributions under the assumption of different Priors
 3. Bayesian Estimation under three Loss Functions
  3.1. Squared Error Loss Function (SELF)
  3.2. Quadratic Loss Function (QLF)
  3.3. Precautionary Loss Function (PLF)
 4. Posterior Risks Under Different Loss Functions
 5. Simulation Study
 6. Summary and Conclusions
 Acknowledgements
 References

키워드

저자

• Azam Zaka [ College of Statistical and Actuarial Sciences, University of the Punjab, Lahore, Pakistan ]
• Ahmad Saeed Akhter [ College of Statistical and Actuarial Sciences, University of the Punjab, Lahore, Pakistan ]

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  International Journal of Advanced Science and Technology

• 간기

  월간

• pISSN

  2005-4238

• 수록기간

  2008~2016

• 십진분류

  KDC 505 DDC 605