Stochastic version of the Erdos-Renyi limit theorem
A. Khorunzhy
Abstract
We generalise the Erdos-Renyi limit theorem on the maximum of the partial sums of random variables to the case when the number of terms in these sums is randomly distributed. Certain relations between the limiting theorems of this type and the spectral theory of random graphs and random matrices are discussed.
Create a lesson
Related papers
Sandpile avalanches in two dimensions are finite
Ahmed Bou-Rabee
Markov Chain Convergence in Kernel-Induced Geometry
Oleksii Kachaiev, Luc Brogat-Motte, Silvia Villa et al.
Interacting Stochastic Systems with Agent-Based Sampling and Connection-Based Reinforcement
Yogesh Dahiya, Gursharn Kaur, Neeraja Sahasrabudhe
Dimension-free Markov--Bernstein-type inequality for R2-valued polynomials
Egor Kosov
Initialization-Dependent Solution Selection by the Euler-Maruyama Scheme for a Degenerate SDE
Akihiro Tanaka
Statistical inference for rough Burgers-type stochastic partial differential equations
Simon Chony Acosta Christian Olivera Ciprian Tudor