Inferences for Weibull Fréchet Distribution Using a Bayesian and Non-Bayesian Methods on Gastric Cancer Survival Times

Autor: Ethar M. Shokr, Beih S. El-Desouky, Rashad M. EL-Sagheer, Mohamed Mahmoud
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Article Subject
Bayesian probability
Computer applications to medicine. Medical informatics
R858-859.7
01 natural sciences
General Biochemistry
Genetics and Molecular Biology
010104 statistics & probability
Bayes' theorem
symbols.namesake
Stomach Neoplasms
0502 economics and business
Humans
Applied mathematics
Statistics::Methodology
Computer Simulation
0101 mathematics
Proportional Hazards Models
050205 econometrics
Weibull distribution
Mathematics
Likelihood Functions
Bayes estimator
General Immunology and Microbiology
Applied Mathematics
05 social sciences
Computational Biology
Reproducibility of Results
Estimator
Bayes Theorem
Markov chain Monte Carlo
General Medicine
Survival Analysis
Markov Chains
Statistics::Computation
Modeling and Simulation
symbols
Fréchet distribution
Monte Carlo Method
Algorithms
Research Article
Gibbs sampling
Zdroj: Computational and Mathematical Methods in Medicine, Vol 2021 (2021)
Computational and Mathematical Methods in Medicine
ISSN: 1748-6718
Popis: In this article, based on progressively type-II censored schemes, the maximum likelihood, Bayes, and two parametric bootstrap methods are used for estimating the unknown parameters of the Weibull Fréchet distribution and some lifetime indices as reliability and hazard rate functions. Moreover, approximate confidence intervals and asymptotic variance-covariance matrix have been obtained. Markov chain Monte Carlo technique based on Gibbs sampler within Metropolis–Hasting algorithm is used to generate samples from the posterior density functions. Furthermore, Bayesian estimate is computed under both balanced square error loss and balanced linear exponential loss functions. Simulation results have been implemented to obtain the accuracy of the estimators. Finally, application on the survival times in years of a group of patients given chemotherapy and radiation treatment is presented for illustrating all the inferential procedures developed here.
Databáze: OpenAIRE
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