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In this paper a new long-term survival distribution is proposed. The so called long term Fr\'echet distribution allows us to fit data where a part of the population is not susceptible to the event of interest. This model may be used, for…

Statistics Theory · Mathematics 2017-09-25 Pedro Luiz Ramos , Diego Nascimento , Francisco Louzada

In mixed longitudinal studies, a group of subjects enter the study at different ages (cross-sectional) and are followed for successive years (longitudinal). In the context of such studies, we consider nonparametric covariance estimation…

Methodology · Statistics 2020-12-02 Anru R. Zhang , Kehui Chen

This paper considers inference for conditional moment inequality models using a multiscale statistic. We derive the asymptotic distribution of this test statistic and use the result to propose feasible critical values that have a simple…

Applications · Statistics 2015-12-10 Timothy B. Armstrong , Hock Peng Chan

For the evaluation of information flow in bivariate time series, information measures have been employed, such as the transfer entropy (TE), the symbolic transfer entropy (STE), defined similarly to TE but on the ranks of the components of…

Methodology · Statistics 2015-06-15 Dimitris Kugiumtzis

Accurately predicting the time of occurrence of an event of interest is a critical problem in longitudinal data analysis. One of the main challenges in this context is the presence of instances whose event outcomes become unobservable after…

Machine Learning · Computer Science 2017-12-26 Ping Wang , Yan Li , Chandan K. Reddy

Typically, case-control studies to estimate odds-ratios associating risk factors with disease incidence from logistic regression only include cases with newly diagnosed disease. Recently proposed methods allow incorporating information on…

Methodology · Statistics 2020-10-19 Soutrik Mandal , Jing Qin , Ruth M. Pfeiffer

We build on the empirical finding that a human being's mental age is normally distributed around the chronological age. This opposes the frequent societal assumption "mental = chronological" which is known to be false in general but…

Applications · Statistics 2021-07-30 Patrick A. Haas

We present a new estimator of the restricted mean survival time in randomized trials where there is right censoring that may depend on treatment and baseline variables. The proposed estimator leverages prognostic baseline variables to…

Statistics Theory · Mathematics 2016-08-22 Iván Díaz , Elizabeth Colantuoni , Daniel F. Hanley , Michael Rosenblum

In recurrent event studies, panel binary data arise when subjects are observed at discrete time points and only the recurrent event status within each observation window is recorded. Such data frequently occur in longitudinal studies due to…

Methodology · Statistics 2025-03-18 Pavithra Hariharan , P. G. Sankaran

In Markov Chain Monte Carlo (MCMC) simulations, the thermal equilibria quantities are estimated by ensemble average over a sample set containing a large number of correlated samples. These samples are selected in accordance with the…

Data Analysis, Statistics and Probability · Physics 2015-01-08 J. Li , P. Vignal , S. Sun , V. M. Calo

In this paper we consider the statistical inference of the unknown parameter of an exponential distribution based on the time truncated data. The time truncated data occurs quite often in the reliability analysis for type-I or hybrid…

Applications · Statistics 2017-03-06 Arnab Koley , Debasis Kundu

In many empirical settings, directly observing a treatment variable may be infeasible although an error-prone surrogate measurement of the latter will often be available. Causal inference based solely on the surrogate measurement is…

Methodology · Statistics 2024-09-26 Ying Zhou , Eric Tchetgen Tchetgen

Inferring treatment effects on a survival time outcome based on data from an observational study is challenging due to the presence of censoring and possible confounding. An additional challenge occurs when a unit's treatment affects the…

Methodology · Statistics 2025-08-13 Chanhwa Lee , Donglin Zeng , Michael Emch , John D. Clemens , Michael G. Hudgens

We study the probability distribution of age of information (AoI) in arbitrary networks with memoryless service times. A source node generates packets following a Poisson process, and then the packets are forwarded across the network in…

Information Theory · Computer Science 2022-02-04 Rajai Nasser , Ibrahim Issa , Ibrahim Abou-Faycal

There is a lack of simple and scalable algorithms for uncertainty quantification. Bayesian methods quantify uncertainty through posterior and predictive distributions, but it is difficult to rapidly estimate summaries of these…

Computation · Statistics 2016-12-28 Cheng Li , Sanvesh Srivastava , David B. Dunson

In causal inference, an important problem is to quantify the effects of interventions or treatments. Many studies focus on estimating the mean causal effects; however, these estimands may offer limited insight since two distributions can…

Methodology · Statistics 2024-11-05 Archer Gong Zhang , Nancy Reid , Qiang Sun

Studies involving both randomized experiments as well as observational data typically involve time-to-event outcomes such as time-to-failure, death or onset of an adverse condition. Such outcomes are typically subject to censoring due to…

Methodology · Statistics 2023-02-27 Chirag Nagpal , Vedant Sanil , Artur Dubrawski

Case-I interval-censored (current status) data from multistate systems are often encountered in biomedical and epidemiological studies. In this article, we focus on the problem of estimating state entry distribution and occupation…

Methodology · Statistics 2026-03-12 Samuel Anyaso-Samuel , Somnath Datta

We consider survival data that combine three types of observations: uncensored, right-censored, and left-censored. Such data arises from screening a medical condition, in situations where self-detection arises naturally. Our goal is to…

Statistics Theory · Mathematics 2018-03-08 Jonathan Yefenof , Yair Goldberg , Jennifer Wiler , Avishai Mandelbaum , Ya'acov Ritov

Population attributable risk (PAR) is used in epidemiology to predict the impact of removing a risk factor from the population. Until recently, no standard approach for calculating confidence intervals or the variance for PAR was available…

Methodology · Statistics 2021-05-28 Sarah Pirikahu , Geoffrey Jones , Martin Hazelton