scholarly journals Generalized Topp-Leone-Weibull AFT Modelling: A Bayesian Analysis with MCMC Tools using R and Stan

2021 ◽  
Vol 50 (5) ◽  
pp. 52-76
Author(s):  
Md. Ashraf-Ul-Alam ◽  
Athar Ali Khan
Keyword(s):  
Weibull Distribution ◽  
Survival Data ◽  
Failure Time ◽  
Survival Model ◽  
Accelerated Failure Time ◽  
Baseline Model ◽  
Censored Survival Data ◽  
Aft Model ◽  
Different Types ◽  
Accelerated Failure

The generalized Topp-Leone-Weibull (GTL-W) distribution is a generalization of Weibull distribution which is obtained by using generalized Topp-Leone (GTL) distribution as a generator and considering Weibull distribution as a baseline distribution. Weibull distribution is a widely used survival model that has monotone- increasing or decreasing hazard. But it cannot accommodate bathtub shaped and unimodal shaped hazards. As a survival model, GTL-W distribution is more flexible than the Weibull distribution to accommodate different types of hazards. The present study aims at fitting GTL-W model as an accelerated failure time (AFT) model to censored survival data under Bayesian setting using R and Stan languages. The GTL-W AFT model is compared with its sub-model and the baseline model. The Bayesian model selection criteria LOOIC and WAIC are applied to select the best model.

scholarly journals Alkaline Water and Longevity: A Murine Study

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Massimiliano Magro ◽  
Livio Corain ◽  
Silvia Ferro ◽  
Davide Baratella ◽  
Emanuela Bonaiuto ◽  
...  
Keyword(s):  
Survival Data ◽  
Failure Time ◽  
Control Group ◽  
Accelerated Failure Time ◽  
Survival Functions ◽  
Alkaline Water ◽  
Aft Model ◽  
Accelerated Failure ◽  
Second Year ◽  
Aging Factor

The biological effect of alkaline water consumption is object of controversy. The present paper presents a 3-year survival study on a population of 150 mice, and the data were analyzed with accelerated failure time (AFT) model. Starting from the second year of life, nonparametric survival plots suggest that mice watered with alkaline water showed a better survival than control mice. Interestingly, statistical analysis revealed that alkaline water provides higher longevity in terms of “deceleration aging factor” as it increases the survival functions when compared with control group; namely, animals belonging to the population treated with alkaline water resulted in a longer lifespan. Histological examination of mice kidneys, intestine, heart, liver, and brain revealed that no significant differences emerged among the three groups indicating that no specific pathology resulted correlated with the consumption of alkaline water. These results provide an informative and quantitative summary of survival data as a function of watering with alkaline water of long-lived mouse models.

Efficient parameter estimation for multivariate accelerated failure time model via the quadratic inference functions method

2019 ◽  
Vol 08 (04) ◽  
pp. 1950013
Author(s):  
Liya Fu ◽  
Zhuoran Yang ◽  
Mingtao Zhao ◽  
Yan Zhou
Keyword(s):  
Correlation Matrix ◽  
Marginal Distribution ◽  
Failure Time ◽  
Correlation Structure ◽  
Accelerated Failure Time Model ◽  
Accelerated Failure Time ◽  
Aft Model ◽  
Accelerated Failure ◽  
Correlation Parameters ◽  
Quadratic Inference Functions

A popular approach, generalized estimating equations (GEE), has been applied to the multivariate accelerated failure time (AFT) model of the clustered and censored data. However, this method needs to estimate the correlation parameters and calculate the inverse of the correlation matrix. Meanwhile, the efficiency of the parameter estimators is low when the correlation structure is misspecified and/or the marginal distribution is heavy-tailed. This paper proposes using the quadratic inference functions (QIF) with a mixture correlation structure to estimate the coefficients in the multivariate AFT model, which can avoid estimating the correlation parameters and computing the inverse matrix of the correlation matrix. Moreover, the estimator derived from the QIF is consistent and asymptotically normal. Simulation studies indicate that the proposed method outperforms the method based on GEE when the marginal distribution has a heavy tail. Finally, the proposed method is used to analyze a real dataset for illustration.

scholarly journals Accelerated Failure Time Survival Model to Analyze Morris Water Maze Latency Data

2020 ◽  
Author(s):  
Clark R. Andersen ◽  
Jordan Wolf ◽  
Kristofer Jennings ◽  
Donald S. Prough ◽  
Bridget E. Hawkins
Keyword(s):  
Morris Water Maze ◽  
Water Maze ◽  
Failure Time ◽  
Survival Model ◽  
Accelerated Failure Time ◽  
Latency Data ◽  
Accelerated Failure
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