# Survival analysis: basic terms, the exponential model, censoring, examples in R and JAGS

By | May 13, 2015

I have put together some basic material on survival analysis. It is available as:

• .html document with highlighted syntax here.
• GitHub repository with all the source files here.

Main motivation was that I wanted to learn the basics myself; also, it's tricky to find simple examples of survival models fitted in Bayesian setting and there are few materials that combine theory with examples.

The material contains:

• Mathematical formulations of key concepts of survival analysis.
• Illustration of the exponential model of failure density.
• Example of the exponential model fitting in R.
• Example of the same model fitting in JAGS.
• More complex model with censoring in JAGS.
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## 10 thoughts on “Survival analysis: basic terms, the exponential model, censoring, examples in R and JAGS”

1. Petr Keil Post author

Thanks Gregor for spotting this. I have updated the text so that J.G. Ibrahim is now acknowledged.

1. Jonah Takalua

Howdy,

In the second section, you say that Mean time to death (μ) for continuous S(t) is
μ=∫∞0uf(u)du . This can also be written as μ=∫∞0S(u)du. Often times, this is easier to deal with. It isn't clear in here that this is the case, but I do believe this is important.

It is pretty great other than that, thanks!

1. Petr Keil Post author

Thanks Jonah! I have added a note on that.

2. Ben Weinstein

Brilliant Petr, very cleanly done. I was looking for something like this. Thanks for your effort!

My only question is why you chose an exponential function, and the biological interpretation of such a choice. Have you seen it done in other ways? I just needed one or two more lines under subheading 3.

3. Joel Galang

For the last example, I was able to get JAGS and survreg to agree by changing the data list passed to JAGS to:

roaches.data <- list(t.to.death = t.to.death,
t.cen = t.cen,
N = nrow(roaches),
weight = roaches\$weight,