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Exact distributions of constrained (k, ℓ) strings of failures between subsequent successes
Consider a sequence of binary (success–failure) random variables (RVs) ordered on a line. The number of strings with a constrained number of...
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Generating Functions of Waiting Times and Numbers of Visits for Random Walks on Graphs
In this paper, we consider some cover time problems for random walks on graphs in a wide class of waiting time problems. By using generating...
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On Success Runs of Length Exceeded a Threshold
Consider a sequence of n two state (success-failure) trials with outcomes arranged on a line or on a circle. The elements of the sequence are...
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Mean success run length
In this paper we consider mean of success run lengths appearing in a sequence of binary trials. We derive the exact and limiting distributions of...