Calculate expected values, variances, and probabilities for any Poisson process.
Free CAS MAS-I (Modern Actuarial Statistics I) lesson in Probability Models. 12 min read, ~1,733 words.
so; probabilities use. Inter-arrival times, iid, with and; waiting time with mean. Superpose by adding rates (only when the constituent processes are independent). Thin by classification probability: independent Poisson sub-processes at rates and. Memorylessness applies to gaps only, never to counts; observing past events does not change expected future arrivals.
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What this lesson covers
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- Example 1
- Example 2
- Common Mistakes
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- Exam Shortcuts
Learning objectives
- A2
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