2.1.3 Survival Functions

Question 1

how is a survival function denoted?

Answer 1

S(x)

Question 2

what is the def of a survival function?

Answer 2

S(x) = 1- F(x) = 1- P(X<=x) = P(X > x)

Question 3

what does a survival function tell you conceputally?

Answer 3

The survival function S(x) tells you the probability that the event happens after the value x.

Question 4

what is the relationship within a pdf and it’s survival function?

Answer 4

f(x) = d/dx(F(x)) = d/dx[1-S(x)] = -d/dx(S(x))