Bayesian Analysis of Three-Parameter Frechet Distribution with Medical Applications
Joint Authors
Ali, Amjad
Abbas, Kamran
Abbasi, Nosheen Yousaf
Khan, Sajjad Ahmad
Manzoor, Sadaf
Khalil, Alamgir
Khalil, Umair
Khan, Dost Muhammad
Hussain, Zamir
Altaf, Muhammad
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-12
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The medical data are often filed for each patient in clinical studies in order to inform decision-making.
Usually, medical data are generally skewed to the right, and skewed distributions can be the appropriate candidates in making inferences using Bayesian framework.
Furthermore, the Bayesian estimators of skewed distribution can be used to tackle the problem of decision-making in medicine and health management under uncertainty.
For medical diagnosis, physician can use the Bayesian estimators to quantify the effects of the evidence in increasing the probability that the patient has the particular disease considering the prior information.
The present study focuses the development of Bayesian estimators for three-parameter Frechet distribution using noninformative prior and gamma prior under LINEX (linear exponential) and general entropy (GE) loss functions.
Since the Bayesian estimators cannot be expressed in closed forms, approximate Bayesian estimates are discussed via Lindley’s approximation.
These results are compared with their maximum likelihood counterpart using Monte Carlo simulations.
Our results indicate that Bayesian estimators under general entropy loss function with noninformative prior (BGENP) provide the smallest mean square error for all sample sizes and different values of parameters.
Furthermore, a data set about the survival times of a group of patients suffering from head and neck cancer is analyzed for illustration purposes.
American Psychological Association (APA)
Abbas, Kamran& Abbasi, Nosheen Yousaf& Ali, Amjad& Khan, Sajjad Ahmad& Manzoor, Sadaf& Khalil, Alamgir…[et al.]. 2019. Bayesian Analysis of Three-Parameter Frechet Distribution with Medical Applications. Computational and Mathematical Methods in Medicine،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1130767
Modern Language Association (MLA)
Abbas, Kamran…[et al.]. Bayesian Analysis of Three-Parameter Frechet Distribution with Medical Applications. Computational and Mathematical Methods in Medicine No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1130767
American Medical Association (AMA)
Abbas, Kamran& Abbasi, Nosheen Yousaf& Ali, Amjad& Khan, Sajjad Ahmad& Manzoor, Sadaf& Khalil, Alamgir…[et al.]. Bayesian Analysis of Three-Parameter Frechet Distribution with Medical Applications. Computational and Mathematical Methods in Medicine. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1130767
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1130767