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A wavelet-like model for distributions of objects in natural and man-made terrestrial environments is developed. The model is constructed in a self-similar fashion, with the sizes, amplitudes, and numbers of objects occurring at a constant…

Data Analysis, Statistics and Probability · Physics 2013-12-20 D. Keith Wilson , Chris L. Pettit , Sergey N. Vecherin

A flexible semiparametric class of models is introduced that offers an alternative to classical regression models for count data as the Poisson and negative binomial model, as well as to more general models accounting for excess zeros that…

Methodology · Statistics 2020-03-30 Moritz Berger , Gerhard Tutz

How does information flow in online social networks? How does the structure and size of the information cascade evolve in time? How can we efficiently mine the information contained in cascade dynamics? We approach these questions…

Social and Information Networks · Computer Science 2010-11-18 Rumi Ghosh , Kristina Lerman

We propose a novel sequence prediction method for sequential data capturing node traversals in graphs. Our method builds on a statistical modelling framework that combines multiple higher-order network models into a single multi-order…

Machine Learning · Computer Science 2023-10-25 Christoph Gote , Giona Casiraghi , Frank Schweitzer , Ingo Scholtes

Mechanistic network models specify the mechanisms by which networks grow and change, allowing researchers to investigate complex systems using both simulation and analytical techniques. Unfortunately, it is difficult to write likelihoods…

Methodology · Statistics 2023-07-19 Jonathan Larson , Jukka-Pekka Onnela

Searches for faint signals in counting experiments are often encountered in particle physics and astrophysics, as well as in other fields. Many problems can be reduced to the case of a model with independent and Poisson-distributed signal…

Data Analysis, Statistics and Probability · Physics 2017-02-14 Diego Casadei , Cornelius Grunwald , Kevin Kröninger , Florian Mentzel

We consider a version of the Watts cascade model on directed multiplex configuration model networks, and present a detailed analysis of the cascade size, single-seed cascade probability and cascade condition. We then introduce a smaller…

Adaptation and Self-Organizing Systems · Physics 2025-06-02 Christian Kluge , Christian Kuehn

We study a class of missingness mechanisms, called sequentially additive nonignorable, for modeling multivariate data with item nonresponse. These mechanisms explicitly allow the probability of nonresponse for each variable to depend on the…

Methodology · Statistics 2019-02-19 Mauricio Sadinle , Jerome P. Reiter

In this paper we consider the problem of detecting statistically significant sequential patterns in multi-neuronal spike trains. These patterns are characterized by ordered sequences of spikes from different neurons with specific delays…

Neurons and Cognition · Quantitative Biology 2008-08-28 P. S. Sastry , K. P. Unnikrishnan

A new two-parameter discrete distribution, namely the PoiG distribution is derived by the convolution of a Poisson variate and an independently distributed geometric random variable. This distribution generalizes both the Poisson and…

Methodology · Statistics 2024-07-11 Anupama Nandi , Subrata Chakraborty , Aniket Biswas

The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

Physics and Society · Physics 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan

We present a structured additive regression approach to model conditional densities given scalar covariates, where only samples of the conditional distributions are observed. This links our approach to distributional regression models for…

Methodology · Statistics 2025-10-17 Eva-Maria Maier , Alexander Fottner , Sonja Greven , Almond Stöcker

The often debated issue of `ratios of small numbers of events' is approached from a probabilistic perspective, making a clear distinction between the predictive problem (forecasting numbers of events we might count under well stated…

Methodology · Statistics 2020-12-09 Giulio D'Agostini

The presence of interference, where the outcome of an individual may depend on the treatment assignment and behavior of neighboring nodes, can lead to biased causal effect estimation. Current approaches to network experiment design focus on…

Machine Learning · Computer Science 2024-05-22 Zahra Fatemi , Jean Pouget-Abadie , Elena Zheleva

In this paper, we systematize the modeling of probabilistic systems for the purpose of analyzing them with model counting techniques. Starting from unbiased coin flips, we show how to model biased coins, correlated coins, and distributions…

Logic in Computer Science · Computer Science 2019-03-29 Marcell Vazquez-Chanlatte , Markus N. Rabe , Sanjit A. Seshia

Most research concerning the influence of network structure on phenomena taking place on the network focus on relationships between global statistics of the network structure and characteristic properties of those phenomena, even though…

Social and Information Networks · Computer Science 2012-03-07 Tomoyuki Yuasa , Susumu Shirayama

Asymptotic properties, both consistency and weak convergence, of estimators arising in a general class of dynamic recurrent event models are presented. The class of models take into account the impact of interventions after each event…

Statistics Theory · Mathematics 2019-11-19 Edsel A. Pena

We introduce a counting process to model the random occurrence in time of car traffic accidents, taking into account some aspects of the self-excitation typical of this phenomenon. By combining methods from probability and differential…

Physics and Society · Physics 2025-05-19 Simone Göttlich , Thomas Schillinger , Andrea Tosin

We propose an online detection procedure for cascading failures in the network from sequential data, which can be modeled as multiple correlated change-points happening during a short period. We consider a temporal diffusion network model…

Other Statistics · Statistics 2021-02-09 Rui Zhang , Yao Xie , Rui Yao , Feng Qiu

We study binary state contagion dynamics on a social network where nodes act in response to the average state of their neighborhood. We model the competing tendencies of imitation and non-conformity by incorporating an off-threshold into…

Physics and Society · Physics 2015-03-13 Kameron Decker Harris
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