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Forensic entomology contributes important information to crime scene investigations. In this paper, we propose a method to estimate the hatching time of larvae (or maggots) based on their lengths, the temperature profile at the crime scene…

Applications · Statistics 2021-11-05 D. Pigoli , J. A. D. Aston , F. Ferraty , A. Mazumder , C. Richards , M. J. R. Hall

Pre-main sequence evolutionary theory is not well-calibrated to observations. With care, the observed quantities can be converted into effective temperature and luminosity (i.e. the Hertzsprung-Russell diagram) which the theoretical…

Astrophysics · Physics 2007-05-23 Lynne A. Hillenbrand , Amber Bauermeister , Russel J. White

Estimating early postmortem interval EPI is a difficult task in daily forensic activity due to limitations of accurate and reliable methods. The aim of the present work is to describe a novel approach in the estimation of EPI based on…

Accurately assessing the postmortem interval (PMI) is an important task in forensic science. Some of the existing techniques use regression models that use a decomposition score to predict the PMI or accumulated degree days (ADD), however,…

Machine Learning · Computer Science 2024-09-17 Anna-Maria Nau , Phillip Ditto , Dawnie Wolfe Steadman , Audris Mockus

Inference-time computation is a powerful paradigm to enhance the performance of large language models (LLMs), with Best-of-N sampling being a widely used technique. However, this method is computationally expensive, requiring both (1) an…

Computation and Language · Computer Science 2024-10-04 Rohin Manvi , Anikait Singh , Stefano Ermon

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

This work is concerned with the development of a space-time adaptive numerical method, based on a rigorous a posteriori error bound, for a semilinear convection-diffusion problem which may exhibit blow-up in finite time. More specifically,…

Numerical Analysis · Mathematics 2015-02-12 Andrea Cangiani , Emmanuil H. Georgoulis , Irene Kyza , Stephen Metcalfe

The fractional birth and the fractional death processes are more desirable in practice than their classical counterparts as they naturally provide greater flexibility in modeling growing and decreasing systems. In this paper, we propose…

Statistics Theory · Mathematics 2014-06-30 Dexter O. Cahoy , Federico Polito

Epidemiologic studies often evaluate the association between an exposure and an event risk. When time-varying, exposure updates usually occur at discrete visits although changes are in continuous time and survival models require values to…

Accurate estimation of postmenstrual age (PMA) at scan is crucial for assessing neonatal development and health. While deep learning models have achieved high accuracy in predicting PMA from brain MRI, they often function as black boxes,…

Artificial Intelligence · Computer Science 2025-08-05 Qifan Chen , Jin Cui , Cindy Duan , Yushuo Han , Yifei Shi

Parameter estimation in diffusion processes from discrete observations up to a first-hitting time is clearly of practical relevance, but does not seem to have been studied so far. In neuroscience, many models for the membrane potential…

Probability · Mathematics 2014-03-06 Enrico Bibbona , Susanne Ditlevsen

Animal interval timing is often studied through the peak interval (PI) procedure. In this procedure, the animal is rewarded for the first response after a fixed delay from the stimulus onset, but on some trials, the stimulus remains and no…

Neurons and Cognition · Quantitative Biology 2022-04-05 Jason Zwicker , Francois Rivest

We give an algorithm that computes the final state of certain growth models without computing all intermediate states. Our technique is based on a "least action principle" which characterizes the odometer function of the growth process.…

Probability · Mathematics 2012-03-30 Tobias Friedrich , Lionel Levine

One-dependent first passage percolation is a spreading process on a graph where the transmission time through each edge depends on the direct surroundings of the edge. In particular, the classical iid transmission time $L_{xy}$ is…

Probability · Mathematics 2024-03-26 Júlia Komjáthy , John Lapinskas , Johannes Lengler , Ulysse Schaller

Use of commercial growth chambers for study of biological processes involved in biomass growth and production pose certain limitations on the nature of studies that can be performed in them. Optimization of biomass rearing and production…

Quantitative Methods · Quantitative Biology 2020-04-16 Murali Padmanabha , Stefan Streif

In this paper, we use a linear birth and death process with immigration to model infectious disease propagation when contamination stems from both person-to-person contact and contact with the environment. Our aim is to estimate the…

Statistics Theory · Mathematics 2024-01-11 Ibrahim Bouzalmat , Benoîte de Saporta , Solym M. Manou-Abi

We investigate parameter estimation in subcritical continuous-time birth-and-death processes with multiple births. We show that the classical maximum likelihood estimators for the model parameters, based on the continuous observation of a…

Statistics Theory · Mathematics 2025-11-04 Sophie Hautphenne , Emma Horton

Linear birth-and-death processes (LBDPs) are foundational stochastic models in population dynamics, evolutionary biology, and hematopoiesis. Estimating parameters from discretely observed data is computationally demanding due to irregular…

Computation · Statistics 2025-08-26 Xiaochen Long , Marek Kimmel

Accurate forecasts of weekly mortality are essential for public health and the insurance industry. We develop a forecasting framework that extends the Lee-Carter model with age- and region-specific seasonal effects and penalized distributed…

Applications · Statistics 2026-05-22 Jens Robben , Karim Barigou

This study investigates how different spatiotemporal temperature models affect the estimation of heat-related mortality in Lazio, Italy (2008--2022). First, we compare three methods to reconstruct daily maximum temperature at the…

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