On the Combinatorics of Placing Balls into Ordered Bins
From MaRDI portal
Publication:4958964
zbMath1477.05003arXiv2010.09599MaRDI QIDQ4958964
Joshua M. Siktar, Vedant Bonde
Publication date: 15 September 2021
Full work available at URL: https://arxiv.org/abs/2010.09599
Central limit and other weak theorems (60F05) Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pseudo-binomial approximation to \((k_1, k_2)\)-runs
- On a modified binomial distribution of order k
- Simple expressions for success run distributions in Bernoulli trials
- Limits of sums for binomial and Eulerian numbers and their associated distributions
- Some identities and an explicit formula for Bernoulli and Stirling numbers
- Sums of derivatives of binomial coefficients
- Laplace transform asymptotics and large deviation principles for longest success runs in Bernoulli trials
- The Probability Lifesaver
- On the number of summands in Zeckendorf decompositions
- Proofs of some binomial identities using the method of last squares
- A Remark on Stirling's Formula
- Runs in coin tossing: a general approach for deriving distributions for functionals
- Binomial Identities and Hypergeometric Series
- Counting the Integer Solutions of a Linear Equation with Unit Coefficients
- Solving a linear equation in a set of integers I
- Some identities involving polynomial coefficients
- Notes on the Binomial Transform
- Solving a linear equation in a set of integers II
- Close Encounters with the Stirling Numbers of the Second Kind
- Central Limit Theorems for Compound Paths on the 2-Dimensional Lattice
- Gaps of Summands of the Zeckendorf Lattice
- Gaussian Behavior in Zeckendorf Decompositions From Lattices
- Central Limit Theorems for Gaps of Generalized Zeckendorf Decompositions
- Gaussian Behavior in Generalized Zeckendorf Decompositions
- Non-trivial solutions to a linear equation in integers
This page was built for publication: On the Combinatorics of Placing Balls into Ordered Bins