Tag: Cumulative failure probability
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Conditional failure probability, reliability, and failure rate
What is the relationship between the conditional failure probability H(t), the reliability R(t), the density function f(t), and the failure rate h(t)? In the article Conditional probability of failure we showed that the conditional failure probability H(t) is: X is the failure time. By definition the denominator is the survival or reliability function at time t, i.e. P(X>t)…
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MTTF is the area under the reliability curve
The reliability curve, also known as the survival graph eventually approaches 0 as time goes to infinity. How do we show that the area below the reliability curve is equal to the mean time to failure (MTTF) or average life of the item? We would like to show that the expected or average life of an…