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The hazard rate is the instantaneous rate at which units that have survived until time $t$ die at $t$. The hazard ratio is the ratio of 2 specified hazards.

4 votes
1 answer
2k views

Converting log hazard function to survival probability

I wanted to estimate survival probabilities over time based on knowing only the $\log({\rm hazard})$ which takes the form of powers of $t$. … Essentially I am looking to obtain a formula which predicts survival over time based on this hazard. Can anyone give me a heads-up about how I proceed with this? …
agness13's user avatar
0 votes
1 answer
1k views

log hazard function in R

I'm trying to write out the log hazard function of the lognormal distribution and use this in R. … Using the survival function: and the hazard function: I have the following for the log(hazard): log(hazard) = $-\log(2\pi)/2-\log(\sigma)-\log(t) - ((\log(t)-\mu)^2)/(2\sigma^2) - \log(1-\phi((\ …
agness13's user avatar