Using XXXXXXXXXXshow by induction that XXXXXXXXXXholds. Identifying that the probability of failure of a unit before time t is 1 − exp[−H(t)], show that expression (5.4.7) holds. State all of the...

Using (5.4.5) show by induction that (5.4.6) holds.

Identifying that the probability of failure of a unit before time t is 1 − exp[−H(t)], show that expression (5.4.7) holds. State all of the assumptions you need in this context.

Derive the expression (5.4.11)

Derive the expression (5.4.12)

For a renewal process with exponential distribution function F, obtain the expressions for U(t) and u(t).

Chapter 6