A refinement of the binomial distribution using the quantum binomial theorem

DOI10.1080/03610926.2021.1912768OpenAlexW3159802645MaRDI QIDQ5875222

Andrew V. Sills

Publication date: 3 February 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12641

zbMATH Keywords

binomial distribution\(q\)-analogbinomial experimentquantum binomial theorem

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Combinatorial probability (60C05)

Cites Work

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• Some formulae for the product of two Bernoulli and Euler polynomials
• Lifting of Nichols algebras of type \(B_2\). (With an appendix ``A generalization of the \(q\)-binomial theorem with I. Rutherford).
• A noncommutative weight-dependent generalization of the binomial theorem
• Discrete q-Distributions
• The absorption distribution and the_q-binomial theorem
• The q-deformed binomial distribution and its asymptotic behaviour
• On the Latent Roots of Quasi-Commutative Matrices

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