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We construct uniform and point-wise asymptotic confidence sets for the single edge in an otherwise smooth image function which are based on rotated differences of two one-sided kernel estimators. Using methods from M-estimation, we show…

Statistics Theory · Mathematics 2019-03-26 Viktor Bengs , Matthias Eulert , Hajo Holzmann

We introduce a new test statistic for testing the null hypothesis that the sampling distribution has an increasing hazard rate on a specified interval [0,a]. It is based on a comparison of the empirical distribution function with an…

Statistics Theory · Mathematics 2015-03-17 Piet Groeneboom , Geurt Jongbloed

I propose a new type of confidence interval for correct asymptotic inference after using data to select a model of interest without assuming any model is correctly specified. This hybrid confidence interval is constructed by combining…

Methodology · Statistics 2021-11-25 Adam McCloskey

In this paper, we examine the validity of non-parametric spatial bootstrap as a procedure to quantify errors in estimates of N-point correlation functions. We do this by means of a small simulation study with simple point process models and…

Astrophysics · Physics 2008-05-16 Ji Meng Loh

This paper introduces smoothed pseudo-population bootstrap methods for the purposes of variance estimation and the construction of confidence intervals for finite population quantiles. In an i.i.d. context, it has been shown that resampling…

Methodology · Statistics 2025-09-30 Vanessa McNealis , Christian Léger

Bootstrap smoothed (bagged) parameter estimators have been proposed as an improvement on estimators found after preliminary data-based model selection. The key result of Efron (2014) is a very convenient and widely applicable formula for a…

Methodology · Statistics 2019-04-29 Paul Kabaila , Christeen Wijethunga

We consider the construction of confidence intervals for treatment effects estimated using panel models with interactive fixed effects. We first use the factor-based matrix completion technique proposed by Bai and Ng (2021) to estimate the…

Econometrics · Economics 2022-02-25 Xingyu Li , Yan Shen , Qiankun Zhou

A long-standing problem in the construction of asymptotically correct confidence bands for a regression function $m(x)=E[Y|X=x]$, where $Y$ is the response variable influenced by the covariate $X$, involves the situation where $Y$ values…

Statistics Theory · Mathematics 2018-12-10 Ali Al-Sharadqah , Majid Mojirsheibani

System reliability assessment(SRA) is a challenging task due to the limited experimental data and the complex nature of the system structures. Despite a long history dating back to \cite{buehler1957confidence}, exact methods have only been…

Methodology · Statistics 2025-06-06 Junpeng Gong , Xu He , Zhaohui Li

There are some papers which describe the use of bootstrap techniques in point process statistics. The aim of the present paper is to show that the form in which bootstrap is used there is dubious. In case of variance estimation of pair…

Statistics Theory · Mathematics 2008-11-26 Martin Snethlage

Piecewise constant priors are routinely used in the Bayesian Cox proportional hazards model for survival analysis. Despite its popularity, large sample properties of this Bayesian method are not yet well understood. This work provides a…

Statistics Theory · Mathematics 2023-06-16 Bo Y. -C. Ning , Ismaël Castillo

The choice of hyperparameters greatly impacts performance in natural language processing. Often, it is hard to tell if a method is better than another or just better tuned. Tuning curves fix this ambiguity by accounting for tuning effort.…

Computation and Language · Computer Science 2024-04-10 Nicholas Lourie , Kyunghyun Cho , He He

This paper proposes a decorrelation-based approach to test hypotheses and construct confidence intervals for the low dimensional component of high dimensional proportional hazards models. Motivated by the geometric projection principle, we…

Machine Learning · Statistics 2014-12-17 Ethan X. Fang , Yang Ning , Han Liu

Filamentary structures, also called ridges, generalize the concept of modes of density functions and provide low-dimensional representations of point clouds. Using kernel type plug-in estimators, we give asymptotic confidence regions for…

Statistics Theory · Mathematics 2024-05-02 Wanli Qiao

In this paper the regression discontinuity design is adapted to the survival analysis setting with right-censored data, studied in an intensity based counting process framework. In particular, a local polynomial regression version of the…

Methodology · Statistics 2022-10-07 Emil Aas Stoltenberg

We propose a parametric hazard model obtained by enforcing positivity in the damped harmonic oscillator. The resulting model has closed-form hazard and cumulative hazard functions, facilitating likelihood and Bayesian inference on the…

Methodology · Statistics 2024-11-01 J. A. Christen , F. J. Rubio

In epidemiological cohort studies, the relative risk (also known as risk ratio) is a major measure of association to summarize the results of two treatments or exposures. Generally, it measures the relative change in disease risk as a…

Methodology · Statistics 2022-07-05 Gopal Nath , Krishna K. Saha , Suojin Wang

We consider kernel estimation of marginal densities and regression functions of stationary processes. It is shown that for a wide class of time series, with proper centering and scaling, the maximum deviations of kernel density and…

Statistics Theory · Mathematics 2010-10-21 Weidong Liu , Wei Biao Wu

Finding a method to combine the numerical bootstrap with the analytic lightcone bootstrap is an important goal to advance the conformal bootstrap program. We propose a hybrid bootstrap method to do just that. The numerical and analytic…

High Energy Physics - Theory · Physics 2022-02-16 Ning Su

In reliability and life testing studies, the topic of estimating hazard rate has received great attention in recent years since an estimate of hazard rate is a quite useful tool for making decisions. Some works have included nonparametric…

Statistics Theory · Mathematics 2012-05-24 Baris Surucu
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