- Author
- Abu Awwad Raed R. (University of Petra, Amman, Jordan), Bdair Omar M. (Al-Balqa Applied University, Amman, Jordan), Abufoudeh Ghassan K. (University of Petra, Amman, Jordan)
- Title
- Bayesian Estimation and Prediction Based on Rayleigh Record Data with Applications
- Source
- Statistics in Transition, 2021, vol. 22, nr 3, s. 59-79, tab., wykr., bibliogr. 24 poz.
- Keyword
- Estymacja bayesowska, Metoda Monte Carlo, Łańcuch Markowa
Bayesian estimation, Monte Carlo method, Markov chain - Note
- summ.
- Abstract
- Based on a record sample from the Rayleigh model, we consider the problem of estimatingthe scale and location parameters of the model and predicting the future unobserved recorddata. Maximum likelihood and Bayesian approaches under different loss functions are usedto estimate the model's parameters. The Gibbs sampler and Metropolis-Hastings methodsare used within the Bayesian procedures to draw the Markov Chain Monte Carlo (MCMC)samples, used in turn to compute the Bayes estimator and the point predictors of the futurerecord data. Monte Carlo simulations are performed to study the behaviour and to comparemethods obtained in this way. Two examples of real data have been analyzed to illustrate theprocedures developed here.(original abstract)
- Accessibility
- The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice - Full text
- Show
- Bibliography
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- Cited by
- ISSN
- 1234-7655
- Language
- eng
- URI / DOI
- http://dx.doi.org/10.21307/stattrans-2021-027