publisher page¶
Ross, S. M. (2014). publisher page. Introduction to Probability Models.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Poisson Process
- Three commitments define it and are equivalent to one another under mild conditions: the number of events in disjoint intervals are independent; the count in any interval of length \(t\) is Poisson-distributed with mean \(\lambda t\); and the waiting times between consecutive events are independent and exponentially distributed with rate \(\lambda\).
This sourceStandard text defining the Poisson process via its three equivalent characterizations (independent increments, Poisson counts, exponential inter-arrivals) and deriving superposition, thinning, the uniform order-statistics property, the inspection paradox, and the law of rare events.
- Three commitments define it and are equivalent to one another under mild conditions: the number of events in disjoint intervals are independent; the count in any interval of length \(t\) is Poisson-distributed with mean \(\lambda t\); and the waiting times between consecutive events are independent and exponentially distributed with rate \(\lambda\).
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Registry ID ref:b0cef95d2911 · see in the full table