Solved: In Example 6.8, we introduced the concept of a censoredexperiment in which n
Chapter 7, Problem 57(choose chapter or problem)
In Example 6.8, we introduced the concept of a censoredexperiment in which n components are put on test and theexperiment terminates as soon as r of the componentshave failed. Suppose component lifetimes are independent,each having an exponential distribution with parameterl. Let Y1 denote the time at which the first failure occurs, Y2 the time at which the second failure occurs, andso on, so that is thetotal accumulated lifetime at termination. Then it can beshown that has a chi-squared distribution with 2r df.Use this fact to develop a % CI formula fortrue average lifetime . Compute a 95% CI from thedata in Example 6.8.
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