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The sequential hypothesis testing problem is a class of statistical analyses where the sample size is not fixed in advance. Instead, the decision-process takes in new observations sequentially to make real-time decisions for testing an…

Machine Learning · Statistics 2022-04-12 Wanrong Zhang , Yajun Mei , Rachel Cummings

Stochastic rounding (SR) offers an alternative to the deterministic IEEE-754 floating-point rounding modes. In some applications such as PDEs, ODEs and neural networks, SR empirically improves the numerical behavior and convergence to…

Numerical Analysis · Mathematics 2023-06-06 El-Mehdi El Arar , Devan Sohier , Pablo de Oliveira Castro , Eric Petit

This paper presents a conformal prediction procedure to generate two-sided or one-sided prediction intervals for survival times in the presence of right censoring. Specifically, the method provides two-sided predictive bounds for…

Methodology · Statistics 2025-06-23 Chris Holmes , Ariane Marandon

In this paper, we study a bi-criterion framework for assessing scoring functions in the context of binary classification. The positive and negative predictive values (ppv and npv, respectively) are conditional probabilities of the true…

Machine Learning · Statistics 2020-07-13 Keshav Vemuri , Nathan Srebro

It can be difficult for practitioners to interpret the quality of differentially private (DP) statistics due to the added noise. One method to help analysts understand the amount of error introduced by DP is to return a Randomization…

Cryptography and Security · Computer Science 2026-04-10 Thomas Humphries , Tim Li , Shufan Zhang , Karl Knopf , Xi He

Competing risks data refer to situations where the occurrence of one event pre- cludes the possibility of other events happening, resulting in multiple mutually exclusive events. This data type is commonly encountered in medical research…

Methodology · Statistics 2025-10-21 Fatemeh Mahmoudi , Chenxi Li , Kaida Cai , Xuewen Lu

The Population Stability Index (PSI) is a widely used measure in credit risk modeling and monitoring within the banking industry. Its purpose is to monitor for changes in the population underlying a model, such as a scorecard, to ensure…

Applications · Statistics 2026-01-01 Nelis Potgieter , Corli van Zyl , WD Schutte , Fred Lombard

Let $ (T_i)_i$ be a sequence of independent identically distributed (i.i.d.) random variables (r.v.) of interest distributed as $ T$ and $(X_i)_i$ be a corresponding vector of covariates taking values on $ \mathbb{R}^d$. In censorship…

Statistics Theory · Mathematics 2019-01-29 Bouhadjera Feriel , Ould Saïd , Mohamed Remita

We study the persistence probability for processes with stationary increments. Our results apply to a number of examples: sums of stationary correlated random variables whose scaling limit is fractional Brownian motion, random walks in…

Probability · Mathematics 2019-05-01 Frank Aurzada , Nadine Guillotin-Plantard , Françoise Pène

Let P represent the source population with complete data, containing covariate $\mathbf{Z}$ and response $T$, and Q the target population, where only the covariate $\mathbf{Z}$ is available. We consider a setting with both label shift and…

Methodology · Statistics 2025-06-27 Yuxiang Zong , Yanyuan Ma , Ingrid Van Keilegom

We study the classic Susceptible-Infected-Recovered (SIR) model for the spread of an infectious disease. In this stochastic process, there are two competing mechanism: infection and recovery. Susceptible individuals may contract the disease…

Populations and Evolution · Quantitative Biology 2012-05-08 E. Ben-Naim , P. L. Krapivsky

Expected shortfall is defined as the average over the tail below (or above) a certain quantile of a probability distribution. Expected shortfall regression provides powerful tools for learning the relationship between a response variable…

Methodology · Statistics 2025-01-03 Shushu Zhang , Xuming He , Kean Ming Tan , Wen-Xin Zhou

We study the persistence probability for some discrete-time, time-reversible processes. In particular, we deduce the persistence exponent in a number of examples: first, we deal with random walks in random sceneries (RWRS) in any dimension…

Probability · Mathematics 2015-02-25 Frank Aurzada , Nadine Guillotin-Plantard

We present a structured additive regression approach to model conditional densities given scalar covariates, where only samples of the conditional distributions are observed. This links our approach to distributional regression models for…

Methodology · Statistics 2025-10-17 Eva-Maria Maier , Alexander Fottner , Sonja Greven , Almond Stöcker

Survival regression aims to predict the time when an event of interest will take place, typically a death or a failure. A fully parametric method [18] is proposed to estimate the survival function as a mixture of individual parametric…

Machine Learning · Computer Science 2024-04-25 Qinxin Wang , Jiayuan Huang , Junhui Li , Jiaming Liu

Let X_1,...., X_n be a collection of iid discrete random variables, and Y_1,..., Y_m a set of noisy observations of such variables. Assume each observation Y_a to be a random function of some a random subset of the X_i's, and consider the…

Information Theory · Computer Science 2007-09-04 Andrea Montanari

We revisit the estimation of the extreme value index for randomly censored data from a heavy tailed distribution. We introduce a new class of estimators which encompasses earlier proposals given in Worms and Worms (2014) and Beirlant et al.…

Statistics Theory · Mathematics 2018-04-19 Jan Beirlant , Julien Worms , Rym Worms

Quantile regression has been advocated in survival analysis to assess evolving covariate effects. However, challenges arise when the censoring time is not always observed and may be covariate-dependent, particularly in the presence of…

Statistics Theory · Mathematics 2010-10-05 Yijian Huang

Tests for paired censored outcomes have been extensively studied, with some justified in the context of randomization-based inference. These tests are primarily designed to detect an overall treatment effect across the entire follow-up…

Methodology · Statistics 2025-06-10 Sangjin Lee , Kwonsang Lee

In this paper, we consider a novel framework of positive-unlabeled data in which as positive data survival times are observed for subjects who have events during the observation time as positive data and as unlabeled data censoring times…

Methodology · Statistics 2020-11-30 Tomoki Toyabe , Yasuhiro Hasegawa , Takahiro Hoshino
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