Two sufficient conditions for Poisson approximations in the ferromagnetic Ising model
A $d$-dimensional ferromagnetic Ising model on a lattice torus is considered. As the size of the lattice tends to infinity, two conditions ensuring a Poisson approximation for the distribution of the number of occurrences in the lattice of any given ...
Coupier, David
core +2 more sources
Approximation of Meta Distribution and its Moments for Poisson Cellular Networks [PDF]
The notion of meta distribution as the distribution of the conditional coverage probability was introduced in the literature before. In this letter, we show how we can reconstruct the entire meta distribution only from its moments using Fourier–Jacobi ...
Sudarshan Guruacharya, E. Hossain
semanticscholar +1 more source
On the Entropy of Sums of Bernoulli Random Variables via the Chen-Stein Method
This paper considers the entropy of the sum of (possibly dependent and non-identically distributed) Bernoulli random variables. Upper bounds on the error that follows from an approximation of this entropy by the entropy of a Poisson random variable with ...
Sason, Igal
core +1 more source
Dynamic distance-based shape features for gait recognition [PDF]
We propose a novel skeleton-based approach to gait recognition using our Skeleton Variance Image. The core of our approach consists of employing the screened Poisson equation to construct a family of smooth distance functions associated with a given ...
Belyaev, Alexander +2 more
core +1 more source
Moderate deviations in Poisson approximation: a first attempt [PDF]
Poisson approximation using Stein's method has been extensively studied in the literature. The main focus has been on bounding the total variation distance.
Louis H. Y. Chen, Xiao Fang, Q. Shao
semanticscholar +1 more source
Explicit Gaussian Variational Approximation for the Poisson Lognormal Mixed Model
In recent years, the Poisson lognormal mixed model has been frequently used in modeling count data because it can accommodate both the over-dispersion of the data and the existence of within-subject correlation.
Xiaoping Shi +2 more
doaj +1 more source
Stein's method and Poisson process approximation for a class of Wasserstein metrics
Based on Stein's method, we derive upper bounds for Poisson process approximation in the $L_1$-Wasserstein metric $d_2^{(p)}$, which is based on a slightly adapted $L_p$-Wasserstein metric between point measures.
Schuhmacher, Dominic
core +3 more sources
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Functional Connectivity Linked to Cognitive Recovery After Minor Stroke
ABSTRACT Objective Patients with minor stroke exhibit slowed processing speed and generalized alterations in functional connectivity involving frontoparietal cortex (FPC). The pattern of connectivity evolves over time. In this study, we examine the relationship of functional connectivity patterns to cognitive performance, to determine ...
Vrishab Commuri +7 more
wiley +1 more source
A refinement of normal approximation to Poisson binomial
Let X1,X2,…,Xn be independent Bernoulli random variables with P(Xj=1)=1−P(Xj=0)=pj and let Sn:=X1+X2+⋯+Xn. Sn is called a Poisson binomial random variable and it is well known that the distribution of a Poisson binomial random variable can be ...
K. Neammanee
doaj +1 more source

