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There are two general views in causal analysis of experimental data: the super population view that the units are an independent sample from some hypothetical infinite populations, and the finite population view that the potential outcomes…

统计理论 · 数学 2017-03-01 Peng Ding , Xinran Li , Luke W. Miratrix

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

This study presents the approach to analyzing the evolution of an arbitrary complex system whose behavior is characterized by a set of different time-dependent factors. The key requirement for these factors is only that they must contain an…

数据分析、统计与概率 · 物理学 2020-12-01 Anatolii V. Mokshin , Vladimir V. Mokshin , Diana A. Mirziyarova

The controlled branching process is a generalization of the classical Bienaym\'e-Galton-Watson branching process. It is a useful model for describing the evolution of populations in which the population size at each generation needs to be…

统计理论 · 数学 2015-02-09 M. Gonzalez , C. Minuesa , I. del Puerto

Consider first a memoryless population model described by the usual branching process with a given mean reproduction matrix on a finite space of types. Motivated by the consequences of atavism in Evolutionary Biology, we are interested in a…

概率论 · 数学 2025-01-03 Jean Bertoin

Scaling has been proposed as a powerful tool to analyze the properties of complex systems, and in particular for cities where it describes how various properties change with population. The empirical study of scaling on a wide range of…

物理与社会 · 物理学 2018-04-18 Jules Depersin , Marc Barthelemy

We are concerned with the problem of detecting a single change point in the model parameters of time series data generated from an exponential family. In contrast to the existing literature, we allow that the true location of the change…

统计理论 · 数学 2022-07-07 Cassandra Milbradt

In numerous papers, the behaviour of stochastic population models is investigated through the sign of a real quantity which is the growth rate of the population near the extinction set. In many cases, it is proven that when this growth rate…

概率论 · 数学 2020-01-06 Dang H. Nguyen , Edouard Strickler

Longitudinal studies with binary or ordinal responses are widely encountered in various disciplines, where the primary focus is on the temporal evolution of the probability of each response category. Traditional approaches build from the…

统计方法学 · 统计学 2024-09-04 Jizhou Kang , Athanasios Kottas

The observation that phenotypic variability is ubiquitous in isogenic populations has led to a multitude of experimental and theoretical studies seeking to probe the causes and consequences of this variability. Whether it be in the context…

种群与进化 · 定量生物学 2022-02-18 Ethan Levien , Jiseon Min , Jane Kondev , Ariel Amir

Models of population growth and extinction are an increasingly popular subject of study. However, consequences of stochasticity and noise in shaping distributions and outcomes are not sufficiently explored. Here we consider a distributed…

统计力学 · 物理学 2020-11-11 Bertrand Ottino-Löffler , Mehran Kardar

Ancestral inference for branching processes in random environments involves determining the ancestor distribution parameters using the population sizes of descendant generations. In this paper, we introduce a new methodology for ancestral…

统计理论 · 数学 2025-01-29 Xiaoran Jiang , Anand N. Vidyashankar

With the aim of considering models with persistent memory we propose a fractional nonlinear modification of the classical Yule model often studied in the context of macrovolution. Here the model is analyzed and interpreted in the framework…

概率论 · 数学 2018-04-04 Petr Lansky , Federico Polito , Laura Sacerdote

This paper reports on a computational study of the model error in the LANS-alpha and NS-alpha deconvolution models of homogeneous isotropic turbulence. The focus is on how well the model error may be characterized by a stochastic force.…

动力系统 · 数学 2017-06-23 Eric Olson

Spatial models where growth is limited to the edge of the expansions have been instrumental to understand the population dynamics and the clone size distribution in growing cellular populations, such as microbial colonies and avascular…

种群与进化 · 定量生物学 2022-06-08 Armin Eghdami , Jayson Paulose , Diana Fusco

We reexamine the classical linear regression model when the model is subject to two types of uncertainty: (i) some of covariates are either missing or completely inaccessible, and (ii) the variance of the measurement error is undetermined…

统计理论 · 数学 2021-08-05 Shuzhen Yang , Jianfeng Yao

The statistical challenges in using big data for making valid statistical inference in the finite population have been well documented in literature. These challenges are due primarily to statistical bias arising from under-coverage in the…

统计方法学 · 统计学 2020-06-19 Jae-kwang Kim , Siu-Ming Tam

Investigations of natural variation among cells within a population are essential for understanding the stochastic nature of tissue cell deformation under applied load. In the existing literature, the population variation of single-cell…

细胞行为 · 定量生物学 2011-07-14 John M. Maloney , Krystyn J. Van Vliet

By introducing the notions of living and dead nodes a new model of random tree evolution with continuous time parameter has been constructed. It is assumed that two random variables, the lifetime and the offspring number of living nodes…

统计力学 · 物理学 2007-05-23 L. Pal

Combining machine learning with econometric analysis is becoming increasingly prevalent in both research and practice. A common empirical strategy involves the application of predictive modeling techniques to 'mine' variables of interest…

计量经济学 · 经济学 2020-12-22 Mochen Yang , Edward McFowland , Gordon Burtch , Gediminas Adomavicius
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