Calculate expected values, variances, and probabilities for any Poisson process.
Free CAS MAS-I (Modern Actuarial Statistics I) lesson in Probability Models. 10 min read, ~1,494 words.
so; probabilities use. Inter-arrival times, iid, with and; waiting time with mean. Superpose: add rates. Thin by classification probability: independent Poisson sub-processes at rates and. NHPP count over is Poisson with mean; integrate, do not evaluate at a point. Compound Poisson:, (second moment, not variance).
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- Example 1
- Example 2
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Learning objectives
- A2
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