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

Esin Köksal Babacan

Makale detayları

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

Yazarlar:

Esin Köksal Babacan

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Biochemistry and Cell Biology (Other)

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 4, pp.1108-1115

Belge Tipi:

Makale

Yayın Tarihi:

1/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001324612

pISSN:

1304-7191

Anahtar kelimeler:

Özet:

 In this paper, the Bayesian estimators for the Inverse Weibull Distribution IWD scale param-eter 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.

 In this paper, the Bayesian estimators for the Inverse Weibull Distribution IWD scale param-eter 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.

 In this paper, the Bayesian estimators for the Inverse Weibull Distribution IWD scale param-eter 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.

 In this paper, the Bayesian estimators for the Inverse Weibull Distribution IWD scale param-eter 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.

Makale detayları

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

Yazarlar:

Esin Köksal Babacan

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Biochemistry and Cell Biology (Other)

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 4, pp.1108-1115

Belge Tipi:

Makale

Yayın Tarihi:

1/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001324612

pISSN:

1304-7191

Bayesian Estimation

Inverse Weibull Distribution

Loss Function

Sayı

Makale detayları

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

Yazarlar: Esin Köksal Babacan

Yayıncı: Yildiz Technical University

Ana Başlıklar: Biochemistry and Cell Biology (Other)

Dergi: Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 4, pp.1108-1115

Belge Tipi: Makale

Yayın Tarihi: 1/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001324612

pISSN: 1304-7191

Bayesian Estimation

Inverse Weibull Distribution

Loss Function

Sayı

Yazarlar:

Esin Köksal Babacan

Yayıncı:

Yildiz Technical University

Ana Başlıklar:

Biochemistry and Cell Biology (Other)

Dergi:

Sigma Journal of Engineering and Natural Sciences Vol.42 Issue 4, pp.1108-1115

Belge Tipi:

Makale

Yayın Tarihi:

1/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001324612

pISSN:

1304-7191