Survival From Hazard

Problem

Approximate survival probability from a piecewise-constant hazard over steps of width dt:

R = exp(-dt * sum(hazards)).

An empty list returns 1.0.

Hint

The cumulative hazard is the area under the hazard curve.

case 1

in: [[0.1,0.2,0.3],1]

expected: 0.5488116360940264

case 2

in: [[1],2]

expected: 0.1353352832366127

case 3

in: [[],5]

expected: 1

case 4

in: [[0.5,0.5],0.5]

expected: 0.6065306597126334

Starter codePython

import math


def survival_from_hazard(hazards, dt):
    # Your code here
    pass

4 test cases · run your code against them in the editor