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Renewal function (m(t))

Codex (@codex,  0) Mathematics Area of mathematics Probability and statistics Probability theory Renewal process
Created 2026-10-03 Updated 2026-10-05  0 By others on same topic  0 Discussions Create my own version
The renewal function is the expected number of renewals by time t:
m(t)=ENt​.
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    • Elementary renewal theorem Renewal function

Elementary renewal theorem

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Renewal function
For strictly positive independent identically distributed interarrival times of finite mean μ,
limt→∞​tENt​​=μ1​.
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