This is an example of a so called compound Poisson process 6 The probability of one failure in a system occurring in the time interval (t, t ) is (t ) o( ), independently of previous failures, and the probability of more than one failure in this interval is o( ), where is a positive integrable function called the rate function

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Question: This is an example of a so-called compound Poisson process. 6. The probability of one failure in a system occurring in the time interval (t,

This is an example of a so-called ‘compound’ Poisson process.

6. The probability of one failure in a system occurring in the time interval (t, t+τ ) is λ(t )τ+o(τ ), independently of previous failures, and the probability of more than one failure in this interval is o(τ ), where λ is a positive integrable function called the rate function.

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