Bayesian inference and optimal plan for the family of inverted exponentiated distributions under doubly censored data

Chandan Kumar Gupta; Prakash Chandra; Yogesh Mani Tripathi; Shuo-jye Wu

Makale detayları

Bayesian inference and optimal plan for the family of inverted exponentiated distributions under doubly censored data

Yazarlar:

Chandan Kumar Gupta | Prakash Chandra | Yogesh Mani Tripathi | Shuo-jye Wu

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistical Experiment Design | Statistical Theory

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.237-262

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341754

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 In this paper, we consider inference upon unknown parameters of the family of inverted exponentiated distributions when it is known that data are doubly censored. Maximum likelihood and Bayes estimates under different loss functions are derived for estimating the parameters. We use Metropolis-Hastings algorithm to draw Markov chain Monte Carlo samples, which are used to compute the Bayes estimates and construct the Bayesian credible intervals. Further, we present point and interval predictions of the censored data using the Bayesian approach. The performance of proposed methods of estimation and prediction are investigated using simulation studies, and two illustrative examples are discussed in support of the suggested methods. Finally, we propose the optimal plans under double censoring scheme.

 In this paper, we consider inference upon unknown parameters of the family of inverted exponentiated distributions when it is known that data are doubly censored. Maximum likelihood and Bayes estimates under different loss functions are derived for estimating the parameters. We use Metropolis-Hastings algorithm to draw Markov chain Monte Carlo samples, which are used to compute the Bayes estimates and construct the Bayesian credible intervals. Further, we present point and interval predictions of the censored data using the Bayesian approach. The performance of proposed methods of estimation and prediction are investigated using simulation studies, and two illustrative examples are discussed in support of the suggested methods. Finally, we propose the optimal plans under double censoring scheme.

 In this paper, we consider inference upon unknown parameters of the family of inverted exponentiated distributions when it is known that data are doubly censored. Maximum likelihood and Bayes estimates under different loss functions are derived for estimating the parameters. We use Metropolis-Hastings algorithm to draw Markov chain Monte Carlo samples, which are used to compute the Bayes estimates and construct the Bayesian credible intervals. Further, we present point and interval predictions of the censored data using the Bayesian approach. The performance of proposed methods of estimation and prediction are investigated using simulation studies, and two illustrative examples are discussed in support of the suggested methods. Finally, we propose the optimal plans under double censoring scheme.

 In this paper, we consider inference upon unknown parameters of the family of inverted exponentiated distributions when it is known that data are doubly censored. Maximum likelihood and Bayes estimates under different loss functions are derived for estimating the parameters. We use Metropolis-Hastings algorithm to draw Markov chain Monte Carlo samples, which are used to compute the Bayes estimates and construct the Bayesian credible intervals. Further, we present point and interval predictions of the censored data using the Bayesian approach. The performance of proposed methods of estimation and prediction are investigated using simulation studies, and two illustrative examples are discussed in support of the suggested methods. Finally, we propose the optimal plans under double censoring scheme.

Makale detayları

Bayesian inference and optimal plan for the family of inverted exponentiated distributions under doubly censored data

Yazarlar:

Chandan Kumar Gupta | Prakash Chandra | Yogesh Mani Tripathi | Shuo-jye Wu

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistical Experiment Design | Statistical Theory

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.237-262

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341754

pISSN:

2651-477X

Bayes estimate

Bayesian prediction

double censoring

inverted exponentiated exponential distribution

maximum likelihood estimate

Sayı

Makale detayları

Bayesian inference and optimal plan for the family of inverted exponentiated distributions under doubly censored data

Yazarlar: Chandan Kumar Gupta | Prakash Chandra | Yogesh Mani Tripathi | Shuo-jye Wu

Yayıncı: Hacettepe University

Ana Başlıklar: Statistical Experiment Design | Statistical Theory

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.237-262

Belge Tipi: Makale

Yayın Tarihi: 2/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001341754

pISSN: 2651-477X

Bayes estimate

Bayesian prediction

double censoring

inverted exponentiated exponential distribution

maximum likelihood estimate

Sayı

Yazarlar:

Chandan Kumar Gupta | Prakash Chandra | Yogesh Mani Tripathi | Shuo-jye Wu

Yayıncı:

Hacettepe University

Ana Başlıklar:

Statistical Experiment Design | Statistical Theory

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.237-262

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341754

pISSN:

2651-477X