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In this paper, we propose a new modified likelihood ratio test (LRT) for simultaneously testing mean vectors and covariance matrices of two-sample populations in high-dimensional settings. By employing tools from Random Matrix Theory (RMT),…

Applications · Statistics 2024-03-12 Zhenzhen Niu , Jianghao Li , Wenya Luo , Zhidong Bai

The likelihood ratio test (LRT) is widely used for comparing the relative fit of nested latent variable models. Following Wilks' theorem, the LRT is conducted by comparing the LRT statistic with its asymptotic distribution under the…

Statistics Theory · Mathematics 2025-01-08 Yunxiao Chen , Irini Moustaki , Haoran Zhang

We consider smooth nonparametric estimation of the incubation time distribution of COVID-19, in connection with the investigation of researchers from the National Institute for Public Health and the Environment (Dutch: RIVM) of 88 travelers…

Applications · Statistics 2023-08-03 Piet Groeneboom

Understanding the spatio-temporal patterns of the coronavirus disease 2019 (COVID-19) is essential to construct public health interventions. Spatially referenced data can provide richer opportunities to understand the mechanism of the…

Methodology · Statistics 2022-07-15 Jaewoo Park , Seorim Yi , Won Chang , Jorge Mateu

To reduce the biases of traditional survey-based methods, this paper proposes an epidemic model-based approach to inference the incubation period distribution of COVID-19 utilizing the publicly reported confirmed case number. We construct…

Populations and Evolution · Quantitative Biology 2020-07-23 Shiyang Lai , Tianqi Zhao , Ningyuan Fan

Since the first outbreak of the COVID-19 epidemic at the end of 2019, data has been made available on the number of infections, deaths and recoveries for all countries of the World, and that data can be used for statistical analysis. The…

Populations and Evolution · Quantitative Biology 2020-04-01 Dávid Tátrai , Zoltán Várallyay

Some patients with COVID-19 show changes in signs and symptoms such as temperature and oxygen saturation days before being positively tested for SARS-CoV-2, while others remain asymptomatic. It is important to identify these subgroups and…

Methodology · Statistics 2024-10-22 Xiaoran Ma , Wensheng Guo , Mengyang Gu , Len Usvyat , Peter Kotanko , Yuedong Wang

We establish the asymptotic distribution of likelihood ratio tests (LRTs) in settings where some of the nuisance parameters are unidentifiable under the null hypothesis, parameters of interest lie on the boundary of the parameter space, and…

Statistics Theory · Mathematics 2026-05-13 Karl Oskar Ekvall , Ola Hössjer , Matteo Bottai , J. M. Patrik Albin

The ongoing pandemic of Coronavirus disease (COVID-19) emerged in Wuhan, China in the end of 2019. It has already affected more than 300,000 people, with the number of deaths nearing 13000 across the world. As it has been posing a huge…

Applications · Statistics 2020-03-25 Soudeep Deb , Manidipa Majumdar

This study presents a new risk-averse multi-stage stochastic epidemics-ventilator-logistics compartmental model to address the resource allocation challenges of mitigating COVID-19. This epidemiological logistics model involves the…

Applications · Statistics 2021-03-12 Xuecheng Yin , I. Esra Buyuktahtakin , Bhumi P. Patel

Recent outbreak of the novel coronavirus COVID-19 has affected all of our lives in one way or the other. While medical researchers are working hard to find a cure and doctors/nurses to attend the affected individuals, measures such as…

Methodology · Statistics 2020-07-23 Arkaprava Roy , Sayar Karmakar

This article introduces a robust hypothesis testing procedure: the Lq-likelihood-ratio-type test (LqRT). By deriving the asymptotic distribution of this test statistic, the authors demonstrate its robustness both analytically and…

Applications · Statistics 2016-09-27 Yichen Qin , Carey E. Priebe

Predicting the spread and containment of COVID-19 is a challenge of utmost importance that the broader scientific community is currently facing. One of the main sources of difficulty is that a very limited amount of daily COVID-19 case data…

Machine Learning · Computer Science 2020-04-21 Hanbaek Lyu , Christopher Strohmeier , Georg Menz , Deanna Needell

While COVID-19 is rapidly propagating around the globe, the need for providing real-time forecasts of the epidemics pushes fits of dynamical and statistical models to available data beyond their capabilities. Here we focus on statistical…

Populations and Evolution · Quantitative Biology 2020-06-08 Tommaso Alberti , Davide Faranda

Spatiotemporal modelling of infectious diseases such as COVID-19 involves using a variety of epidemiological metrics such as regional proportion of cases or regional positivity rates. Although observing their changes over time is critical…

To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable…

Populations and Evolution · Quantitative Biology 2025-09-03 Miguel A. Cajahuanca Ricaldi , Yaroslav Ispolatov

The coronavirus disease 2019 (COVID-19) has quickly grown from a regional outbreak in Wuhan, China to a global pandemic. Early estimates of the epidemic growth and incubation period of COVID-19 may have been biased due to sample selection.…

Applications · Statistics 2020-09-25 Qingyuan Zhao , Nianqiao Ju , Sergio Bacallado , Rajen D. Shah

We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic reproduction number threshold, we study the local stability…

Populations and Evolution · Quantitative Biology 2020-05-05 Faical Ndairou , Ivan Area , Juan J. Nieto , Delfim F. M. Torres

The appearance of the coronavirus (COVID-19) in late 2019 has dominated the news in the last few months as it developed into a pandemic. In many mathematics and physics classrooms, instructors are using the time series of the number of…

Physics Education · Physics 2020-07-24 Paulo H. Acioli

Consider the likelihood ratio test (LRT) statistics for the independence of sub-vectors from a $p$-variate normal random vector. We are devoted to deriving the limiting distributions of the LRT statistics based on a random sample of size…

Statistics Theory · Mathematics 2022-07-22 Mingyue Hu , Yongcheng Qi
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