scholarly journals Bayesian Analysis of the Rayleigh Paired Comparison Model under Loss Functions using Informative Prior

2017 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
M. Aslam ◽  
T. Kifayat
Keyword(s):  
Bayesian Analysis ◽  
Paired Comparison ◽  
Loss Functions ◽  
Comparison Model ◽  
Informative Prior

scholarly journals Bayesian analysis of the Weibull paired comparison model using informative prior

2020 ◽  
Vol 59 (4) ◽  
pp. 2371-2378 ◽  
Author(s):  
Khalil Ullah ◽  
Muhammad Aslam ◽  
Tabassum Naz Sindhu
Keyword(s):  
Bayesian Analysis ◽  
Paired Comparison ◽  
Comparison Model ◽  
Informative Prior

scholarly journals Bayesian Analysis of the Weibull Paired Comparison Model Using Numerical Approximation

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Khalil Ullah ◽  
Muhammad Aslam
Keyword(s):  
Loss Function ◽  
Goodness Of Fit ◽  
Numerical Approximation ◽  
Paired Comparison ◽  
Estimation Procedure ◽  
Loss Functions ◽  
Quadratic Loss ◽  
Chi Square ◽  
Squared Error Loss Function ◽  
Comparison Model

The method of paired comparisons (PC) is widely used to rank items using sensory evaluations. The PC models are developed to provide basis for such comparisons. In this study, the Weibull PC model is analyzed under the Bayesian paradigm using noninformative priors and different loss functions, namely, Squared Error Loss Function (SELF), Quadratic Loss Function (QLF), DeGroot Loss Function (DLF), and Precautionary Loss Function (PLF). Numerical approximation is used to illustrate the entire estimation procedure. A real dataset showing usage preferences for different cellphone brands, Huawei (HW), Samsung (SS), Oppo (OP), QMobile (QM), and Nokia (NK), is used. Quadrature method is used to evaluate the Bayes estimates, their posterior risks, preference probabilities, predictive probabilities, and posterior probabilities to establish and verify ranking order of the competing cellphone brands under study. The results show that the paired comparison model under the study using Bayesian approach involving various loss functions can offer mathematical approach to evaluate cellphone brand preferences. The ranking provided by the model is justifiable according to the usage preference for these cellphone brands. The ranking given by the model indicates that cellphone brand Samsung is preferred the most and QMobile is the least preferred. The plausibility of the model is also assessed using the Chi square test of goodness of fit.

Bayesian and Robust Bayesian analysis under a general class of balanced loss functions

2010 ◽  
Vol 53 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Mohammad Jafari Jozani ◽  
Éric Marchand ◽  
Ahmad Parsian
Keyword(s):  
Bayesian Analysis ◽  
General Class ◽  
Loss Functions ◽  
Robust Bayesian Analysis ◽  
Balanced Loss Functions

scholarly journals Bayesian Estimation of Exponentiated Inverse Rayleigh Distribution

2021 ◽  
Vol 9 (03) ◽  
pp. 321-328
Author(s):  
Arun Kumar Rao ◽  
Himanshu Pandey
Keyword(s):  
Bayesian Analysis ◽  
Bayesian Estimation ◽  
Rayleigh Distribution ◽  
Loss Functions ◽  
Bayes Estimators ◽  
Squared Error

In this paper, exponentiated inverse Rayleigh distribution is considered for Bayesian analysis. The expressions for Bayes estimators of the parameter have been derived under squared error, precautionary, entropy, K-loss, and Al-Bayyati’s loss functions by using quasi and gamma priors.

Bayesian analysis of paired-comparison sound quality ratings

2019 ◽  
Vol 146 (5) ◽  
pp. 3174-3183
Author(s):  
Arne Leijon ◽  
Martin Dahlquist ◽  
Karolina Smeds
Keyword(s):  
Bayesian Analysis ◽  
Paired Comparison ◽  
Sound Quality ◽  
Quality Ratings
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