This paper focuses on the tensile cracking mechanisms of rock masses containing random fissures and conducts research based on the meshless numerical method. In view of the shortcomings in traditional ...

Probability theory is indispensable in computer science: It is at the core of artificial intelligence and machine learning, which require decision making under uncertainty. It is integral to CS theory ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demo of Poisson regression, where the goal is to predict a count of things arriving, such as the number of telephone calls ...

High-throughput sequencing technology facilitates the quantitative analysis of microbial communities, improving the capacity to investigate the associations between the human microbiome and diseases.

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Non-Commercial (NC): Only non-commercial uses of the work are permitted. Auxetics are ...

The Poisson distribution is a special case of the binomial distribution that it models discrete events. It expresses the probability of a number of relatively rare events occurring in a fixed time if ...

1 Department of Epidemiology and Department of Statistics, University of California, Los Angeles, CA, USA 2 Department of Epidemiology and Biostatistics, School of Public Health, Tehran University of ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Based on recent findings by Bourguin and Peccati, we give a fourth moment type condition for an element of a free Poisson chaos of arbitrary order to converge to a free (centered) Poisson distribution ...