Generating-function proofs establish two binomial expectation inequalities that imply unimodality near zero and positive/negative asymmetry for heady-s bit-string score counts.
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Derives asymptotics of the probability difference for frequency advantage between two same-length binary words in long segments of a symmetric Bernoulli process.
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On Two Combinatorial Inequalities That Explain the Blimpy Shape of Heady-s and Taily-s Bit Strings
Generating-function proofs establish two binomial expectation inequalities that imply unimodality near zero and positive/negative asymmetry for heady-s bit-string score counts.
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On difference in word frequencies in a symmetric Bernoulli process
Derives asymptotics of the probability difference for frequency advantage between two same-length binary words in long segments of a symmetric Bernoulli process.