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While circular data occur in a wide range of scientific fields, the methodology for distributional modeling and probabilistic forecasting of circular response variables is rather limited. Most of the existing methods are built on the…

In environmental health research, it is of interest to understand the effect of the neighborhood environment on health. Researchers have shown a protective association between green space around a person's residential address and depression…

Principal stratification analysis evaluates how causal effects of a treatment on a primary outcome vary across strata of units defined by their treatment effect on some intermediate quantity. This endeavor is substantially challenged when…

Methodology · Statistics 2024-03-21 Chanmin Kim , Corwin Zigler

Concerns about biodiversity and the long-term stability of forest ecosystems have lead to changing attitudes with respect to plantations. These artificial communities are ubiquitous, yet provide reduced habitat value in comparison to their…

Populations and Evolution · Quantitative Biology 2009-10-05 Tom Adams , Graeme Ackland , Glenn Marion , Colin Edwards

The Cox regression model is a popular model for analyzing the relationship between a covariate and a survival endpoint. The standard Cox model assumes a constant covariate effect across the entire covariate domain. However, in many…

Applications · Statistics 2019-09-02 Sarit Agami , David M. Zucker , Donna Spiegelman

Pest phenological models describe the cumulative flux of the individuals into each stage of the life cycle of a stage-structured population. Phenological models are widely used tools in pest control decision making. Despite the fact that…

Populations and Evolution · Quantitative Biology 2018-12-06 Sara Pasquali , Cinzia Soresina , Gianni Gilioli

Interpretation of empirical results based on a taxa's lifetime distribution shows apparently conflicting results. Species' lifetime is reported to be exponentially distributed, whereas higher order taxa, such as families or genera, follow a…

Populations and Evolution · Quantitative Biology 2009-11-11 S. Pigolotti , A. Flammini , M. Marsili , A. Maritan

As a result of climate change, many populations have to modify their range to follow the suitable areas - their "climate envelope" - often risking extinction. During this migration process, they may face absolute boundaries to dispersal,…

Analysis of PDEs · Mathematics 2009-07-07 Lionel Roques , Alain Roques , Henri Berestycki , André Kretzschmar

Survival analysis is a challenging variation of regression modeling because of the presence of censoring, where the outcome measurement is only partially known, due to, for example, loss to follow up. Such problems come up frequently in…

Machine Learning · Computer Science 2022-06-28 Chirag Nagpal , Steve Yadlowsky , Negar Rostamzadeh , Katherine Heller

A deterministic two-species predator-prey model with prey herd behavior is considered incorporating mutual interference and the effect of fear. We provide guidelines to the dynamical analysis of biologically feasible equilibrium points. We…

Dynamical Systems · Mathematics 2022-12-20 Kwadwo Antwi-Fordjour , Rana D. Parshad , Hannah E. Thompson , Stephanie B. Westaway

Tree shape statistics, particularly measures of tree (im)balance, play an important role in the analysis of the shape of phylogenetic trees. With applications ranging from testing evolutionary models to studying the impact of fertility…

Populations and Evolution · Quantitative Biology 2024-10-15 Sophie J. Kersting , Kristina Wicke , Mareike Fischer

This work proposes an adjacent-category autoregressive model for time series of ordinal variables. We apply this model to dendrochronological records to study the effect of climate on the intensity of spruce budworm defoliation during…

Mathematical models of biological growth commonly attempt to distinguish deformation due to growth from that due to mechanical stresses through a hypothesised multiplicative decomposition of the deformation gradient. Here we demonstrate…

Mathematical Physics · Physics 2012-10-29 Isaac Vikram Chenchiah , Patrick D. Shipman

A popular line of research in evolutionary biology is the use of time-calibrated phylogenies for the inference of diversification processes. This requires computing the likelihood of a given ultrametric tree as the reconstructed tree…

Populations and Evolution · Quantitative Biology 2013-01-24 Amaury Lambert , Hélène Morlon , Rampal S. Etienne

Species richness varies widely across the tree of life, and there is great interest in identifying ecological, geographic, and other factors that affect rates of species proliferation. Recent methods for explicitly modeling the…

Populations and Evolution · Quantitative Biology 2014-12-23 Daniel L. Rabosky , Emma E. Goldberg

Random survival forest and survival trees are popular models in statistics and machine learning. However, there is a lack of general understanding regarding consistency, splitting rules and influence of the censoring mechanism. In this…

Statistics Theory · Mathematics 2019-02-05 Yifan Cui , Ruoqing Zhu , Mai Zhou , Michael Kosorok

In many studies, we want to determine the influence of certain features on a dependent variable. More specifically, we are interested in the strength of the influence -- i.e., is the feature relevant? -- and, if so, how the feature…

Machine Learning · Statistics 2023-03-03 Yannick Gerstorfer , Lena Krieg , Max Hahn-Klimroth

The ratio of two densities provides a direct characterization of their differences. We consider the two-sample comparison problem by estimating this ratio given i.i.d. observations from two distributions. To this end, we propose additive…

Methodology · Statistics 2026-04-23 Naoki Awaya , Yuliang Xu , Li Ma

Survival prediction aims to evaluate the risk level of cancer patients. Existing methods primarily rely on pathology and genomics data, either individually or in combination. From the perspective of cancer pathogenesis, epigenetic changes,…

Machine Learning · Computer Science 2025-06-23 Haipeng Zhou , Sicheng Yang , Sihan Yang , Jing Qin , Lei Chen , Lei Zhu

Uplift modeling is crucial in various applications ranging from marketing and policy-making to personalized recommendations. The main objective is to learn optimal treatment allocations for a heterogeneous population. A primary line of…

Methodology · Statistics 2023-12-20 Preetam Nandy , Xiufan Yu , Wanjun Liu , Ye Tu , Kinjal Basu , Shaunak Chatterjee
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