A Note on Embedding Certain Bernoulli Sequences in Marked Poisson Processes
Lars K. Holst · Journal of Applied Probability · 2008
A sequence of independent Bernoulli random variables with success probabilities a / (a + b + k − 1), k = 1, 2, 3, …, is embedded in a marked Poisson process with intensity 1. Using this, conditional Poisson limits follow for counts of failure strings.