The asymptotic rate of the length of the longest significant chain with good continuation in Bernoulli net and its applications in filamentary detection
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Distribution of the Length of the Longest Significance Run on a Bernoulli Net and Its Applications
We consider the length of the longest significance run in a (two-dimensional) Bernoulli net and derive its asymptotic limit distribution. Our results can be considered as generalizations of known theorems in significance runs. We give three types of theoretical results: (1) reliabilitystyle lower and upper bounds, (2) Erdös–Rényi law, and (3) the asymptotic limit distribution. To understand the...
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