Closed-form Expressions for the Moments of the Binomial Probability Distribution

DOI10.1137/070700024zbMath1170.05010OpenAlexW2092164538MaRDI QIDQ3614142

Andreas Knoblauch

Publication date: 16 March 2009

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070700024

zbMATH Keywords

Stirling numbersstorage capacityneural associative memoryPochhammer polynomialretrieval errors

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Neural networks for/in biological studies, artificial life and related topics (92B20) Combinatorial probability (60C05)

Related Items (14)

One-dimensional cellular automata with random rules: longest temporal period of a periodic solution ⋮ A Probabilistic Approach to The Moments of Binomial Random Variables and Application ⋮ Limit theorems for empirical Rényi entropy and divergence with applications to molecular diversity analysis ⋮ Profile of random exponential recursive trees ⋮ Random walk hitting times and effective resistance in sparsely connected Erdős‐Rényi random graphs ⋮ Unnamed Item ⋮ Iterative Retrieval and Block Coding in Autoassociative and Heteroassociative Memory ⋮ TONUITY: A NOVEL INDIVIDUAL-ORIENTED RETIREMENT PLAN ⋮ A note on product sets of random sets ⋮ Raw and central moments of binomial random variables via Stirling numbers ⋮ RECURRENCE RELATIONS FOR HIGHER ORDER MOMENTS OF A COMPOUND BINOMIAL RANDOM VARIABLE ⋮ Sharp and simple bounds for the raw moments of the binomial and Poisson distributions ⋮ Fast scalable construction of ([compressed static | minimal perfect hash) functions] ⋮ An alternative proof of a PTAS for fixed-degree polynomial optimization over the simplex

This page was built for publication: Closed-form Expressions for the Moments of the Binomial Probability Distribution