IMO/KKK/Generating Functions/Note/1 Generating Functions In the note, we introduce the concept of a generating function - a powerful tool that is very useful in solving counting problems and recurrence relations, partic

Source URL: www.mathdb.org

• Integer sequences
• Complex analysis
• Binomial coefficient
• Factorial
• Meromorphic functions
• Random permutation statistics
• Probability-generating function
• Mathematics
• Mathematical analysis
• Combinatorics

Aggregate Loss Model A Quarter Century of Aggregate Loss Computations Random sum of non-negative iid random variables

Source URL: lx2.saas.hku.hk

• Poisson processes
• Probability distributions
• Actuarial science
• Generating functions
• (a
• b
• 0) class of distributions
• Negative binomial distribution
• Poisson distribution
• Geometric distribution
• Probability-generating function
• Statistics
• Probability theory
• Mathematical analysis

May 27, 2011 Enumeration of Standard Puzzles Guo-Niu Han I.R.M.A., UMR 7501 Universit´e de Strasbourg et CNRS

Source URL: oeis.org

• Enumerative combinatorics
• Catalan number
• On-Line Encyclopedia of Integer Sequences
• Fibonacci number
• Trigonometric functions
• Binomial coefficient
• Generating function
• Alternating permutation
• Mathematics
• Combinatorics
• Integer sequences

A Large Deviation Theorem for Triangular Arrays Drew Fudenberg and David K. Levine1 Departments of Economics, Harvard University and Washington University in St. Louis First Version: November 1, 2007

Source URL: levine.sscnet.ucla.edu

• Generating functions
• Normal distribution
• Berry–Esseen theorem
• Integration by substitution
• Central limit theorem
• Moment-generating function
• Probability theory
• Mathematical analysis
• Statistics

arXiv:math/0701478v1 [math.NT] 17 Jan[removed]Generating spaces of modular forms with η-quotients L. J. P. Kilford February 2, 2008

Source URL: arxiv.org

• Analytic number theory
• Moduli theory
• Elliptic functions
• Dedekind eta function
• Theta function
• Mathematical analysis
• Mathematics
• Modular forms

Your name: STATISTICS 204 FALL[removed]FINAL

Source URL: www.stat.berkeley.edu

• Martingale theory
• Generating functions
• Game theory
• Martingale
• Probability-generating function
• Probability density function
• Wiener process
• Poisson processes
• Negative binomial distribution
• Statistics
• Probability theory
• Stochastic processes

1995 Paper 1 Question 1 Discrete Mathematics Take the identity (1 + α)r (1 + α)s = (1 + α)r+s and use generating functions to derive Vandermande’s convolution: X  r  s  r + s

Source URL: www.cl.cam.ac.uk

THE MIXED BIVARIATE HOFMANN DISTRIBUTION

Source URL: www.casact.org

• Generating functions
• Normal distribution
• Probability-generating function
• Random permutation statistics
• Copula
• Statistics
• Probability and statistics
• Mathematical analysis

ONE-DIMENSIONAL RANDOM WALKS 1. SIMPLE RANDOM WALK Definition 1. A random walk on the integers Z with step distribution F and initial state x ∈ Z is a sequence S n of random variables whose increments are independent,

Source URL: galton.uchicago.edu

• Generating functions
• Modular forms
• Elliptic functions
• Probability-generating function
• Moment-generating function
• Random walk
• Continuous function
• Itō diffusion
• Theta function
• Mathematical analysis
• Statistics
• Mathematics

Generating functional analysis of LDGM channel coding with many short loops Kazushi Mimura A. C. C. Coolen

Source URL: eprints.pascal-network.org

• Digital signal processing
• Dirac delta function
• Measure theory
• Fourier transform
• Mathematical analysis
• Fourier analysis
• Generalized functions