# Questions tagged [accelerated-failure-time]

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### How to formulate and simulate data from an accelerated failure time model?

I understand that an accelerated failure time model can be conceptualized as a cox model which includes covariates whose effects depend on actual time, so the convenient expression of the partial ...
• 53.3k
52 views

### What is the meaning of the flexsurvreg plot and its res.t

I use the flexsurverg to estimate the a weibull survival model with a time varied covariate， where “utility” is a continuous function, and the result is shown as follows, I plot the fit function and ...
1 vote
72 views

### AFT model interpretation

I am slightly confused about the way accelerated failure time models work in comparison to proportional hazard models. Is it a correct statement that while the PH model assumes covariates multiply ...
• 241
1 vote
47 views

### Weibull and Lognormal Fits

I have simulated failure time data for some components. I tested whether a Weibull or lognormal distribution best fit the data. Please see Figures below. The figures provide median and $95\%$ ...
• 813
1 vote
67 views

### Recurrent event data modelling - Cox PH or AFT?

I am attempting to model recurrent event data in Stata. My data is dataset of patient records and I am modelling a patients first delivery of a mobility aid and the subsequent deliveries of new ...
• 11
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### flexsurvreg log logistic intercept in R

I'm trying to fit a log-logistic AFT model with flexsurvreg(). With AFT model, $$\log T = \gamma_0 + \gamma_1 z_1 + \gamma_2 z_2 + \sigma W,$$ where W ~ standard logistic distribution. Below is an ...
15 views

### What is the distribution of response, if the error distribution is non-normal?

Consider the AFT model: $Y=log(T)=\beta^T x + \epsilon=\mu + \epsilon$ ; where $\epsilon \sim Gumbel(\alpha, \beta)$. What should be the distribution of $Y$? Is it $Y \sim Gumbel(\mu+\alpha, \beta)$?
214 views

### Finding a distribution of Accelerated Failure Model

Can someone please answer these 3 questions related to AFT model? In Accelerated Failure Time (AFT) model, $S(t│β,x)=S_0 (exp(β^T x).t)$, where $S_0$ is the baseline survival function, does $S_0$ ...
39 views

### Implementing logistic regression model in prediction model - use outcome or probability?

My question deals with the principles or way of thinking about implementing a logistic regression model in a larger scale forward prediction. Let's say I have a trained logistic model which can ...
• 201
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### Proof of the hazard of the AFT model

This is an attempt to prove the hazard function $h$ of the accelerated failure time model as presented by Klein and Moeschberger in "Survival Analysis: Techniques for Censored and Truncated Data,&...
• 117
189 views

### AFT models in Stata with time-varying covariates

The AFT models from Stata's streg can handle time-varying covaraites. In particular, the manual states that streg is suitable ...
1 vote
18 views

### AFT model with varying production

I want to implement an AFT model to study the failure time of a product given it's width. $$S(t|width)=S_0((\beta_0+\beta_1 \times width)t)$$ However the prodction has varied during the time (less ...
• 113
52 views

### Scale Parameter in a Log-Linear Accelerated Failure Time Model

Let the logarithm of the random varible $T_i$, associated with the lifetime of the $i$th individual in a survival study, follow the disitribution $$log(T_i) = \mu + X_i\beta + \sigma\epsilon_i$$ with \$...
1 vote