Bayesian estimation of inverse weibull distribution scale parameter under the different loss functions

KÖKSAL BABACAN E.

Sigma Journal of Engineering and Natural Sciences, cilt.42, sa.4, ss.1108-1115, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.14744/sigma.2024.00091
  • Dergi Adı: Sigma Journal of Engineering and Natural Sciences
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1108-1115
  • Anahtar Kelimeler: Bayesian Estimation, Inverse Weibull Distribution, Loss Function
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, the Bayesian estimators for the Inverse Weibull Distribution (IWD) scale parameter are derived when the shape parameter of distribution is known. The Bayesian estimators for the parameter are obtained by using the Gamma prior under the different types of loss functions such as square error loss function (Self), Entropy loss function (Elf), Precautionary loss function (Plf), Linear exponential loss function (Linexlf) and nonlinear exponential loss function (Nlinexlf). A classical maximum likelihood estimator (mle) for the parameter is also derived. To compare the efficiency of the parameter estimation methods, a simulation study is carried out. The comparison is based on mean square error.