## A note on embedding certain Bernoulli sequences in marked Poisson processes.(English)Zbl 1154.60009

Summary: A sequence of independent Bernoulli random variables with success probabilities $$a / (a + b + k - 1), k = 1, 2, 3, \dots$$, is embedded in a marked Poisson process with intensity 1. Using this, conditional Poisson limits follow for counts of failure strings.

### MSC:

 60C05 Combinatorial probability 60K99 Special processes
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### References:

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