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We study the out-of-sample properties of robust empirical optimization problems with smooth $\phi$-divergence penalties and smooth concave objective functions, and develop a theory for data-driven calibration of the non-negative "robustness…

Machine Learning · Statistics 2020-05-20 Jun-Ya Gotoh , Michael Jong Kim , Andrew E. B. Lim

In econometrics, many parameters of interest can be written as ratios of expectations. The main approach to construct confidence intervals for such parameters is the delta method. However, this asymptotic procedure yields intervals that may…

Statistics Theory · Mathematics 2019-04-16 Alexis Derumigny , Lucas Girard , Yannick Guyonvarch

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

The proposed approach extends the confidence posterior distribution to the semi-parametric empirical Bayes setting. Whereas the Bayesian posterior is defined in terms of a prior distribution conditional on the observed data, the confidence…

Methodology · Statistics 2012-05-02 David R. Bickel

This paper suggests parametrically transformed nested error regression models (TNERM), which transform the data flexibly to follow the normal linear mixed regression. We provide a procedure for estimating consistently the parameters of the…

Methodology · Statistics 2018-03-14 Shonosuke Sugasawa , Tatsuya Kubokawa

A difficulty in MSE estimation occurs because we do not specify a full distribution for the survey weights. This obfuscates the use of fully parametric bootstrap procedures. To overcome this challenge, we develop a novel MSE estimator. We…

Methodology · Statistics 2022-10-25 Yanghyeon Cho , Emily Berg

We consider penalized extremum estimation of a high-dimensional, possibly nonlinear model that is sparse in the sense that most of its parameters are zero but some are not. We use the SCAD penalty function, which provides model selection…

Econometrics · Economics 2024-02-23 Joel L. Horowitz , Ahnaf Rafi

We study an AMOC time series model with an abrupt change in the mean and dependent errors that fulfill certain mixing conditions. We obtain confidence intervals for the unknown change-point via bootstrapping methods. Precisely we use a…

Statistics Theory · Mathematics 2008-10-30 Marie Huskova , Claudia Kirch

The ISO 5725 series frames interlaboratory precision through repeatability, between-laboratory, and reproducibility variances, yet practical guidance on deploying bootstrap methods within this one-way random-effects setting remains limited.…

Applications · Statistics 2026-02-10 Jun-ichi Takeshita , Kazuhiro Morita , Tomomichi Suzuki

The age of big data has produced data sets that are computationally expensive to analyze and store. Algorithmic leveraging proposes that we sample observations from the original data set to generate a representative data set and then…

Applications · Statistics 2018-03-13 Katelyn Gao

The inflated beta regression model aims to enable the modeling of responses in the intervals $(0,1]$, $[0,1)$ or $[0,1]$. In this model, hypothesis testing is often performed based on the likelihood ratio statistic. The critical values are…

Methodology · Statistics 2017-02-03 Laís H. Loose , Fábio M. Bayer , Tarciana L. Pereira

In the analysis of survey data it is of interest to estimate and quantify uncertainty about means or totals for each of several non-overlapping subpopulations, or areas. When the sample size for a given area is small, standard confidence…

Methodology · Statistics 2018-09-26 Kyle Burris , Peter Hoff

When reporting the results of clinical studies, some researchers may choose the five-number summary (including the sample median, the first and third quartiles, and the minimum and maximum values) rather than the sample mean and standard…

Methodology · Statistics 2020-06-18 Jiandong Shi , Dehui Luo , Hong Weng , Xian-Tao Zeng , Lu Lin , Haitao Chu , Tiejun Tong

The maximum likelihood estimator in nonlinear panel data models with interactive fixed effects is biased. Several bias correction methods, such as analytical and jackknife approaches, have been proposed to enable valid inference. This paper…

Econometrics · Economics 2026-04-30 Haoyuan Xu , Wei Miao , Geert Dhaene , Jad Beyhum

We discuss a new way of constructing pointwise confidence intervals for the distribution function in the current status model. The confidence intervals are based on the smoothed maximum likelihood estimator (SMLE) and constructed using…

Statistics Theory · Mathematics 2017-03-27 Piet Groeneboom , Kim Hendrickx

The logistic regression analysis proposed by Schouten et al. (Stat Med. 1993;12:1733-1745) has been a standard method in current statistical analysis of case-cohort studies, and it enables effective estimation of risk ratio from selected…

Methodology · Statistics 2023-01-19 Hisashi Noma

Empirical best linear unbiased prediction (EBLUP) method uses a linear mixed model in combining information from different sources of information. This method is particularly useful in small area problems. The variability of an EBLUP is…

Statistics Theory · Mathematics 2008-12-18 Snigdhansu Chatterjee , Partha Lahiri , Huilin Li

We establish the validity of bootstrap methods for empirical likelihood (EL) inference under the density ratio model (DRM). In particular, we prove that the bootstrap maximum EL estimators share the same limiting distribution as their…

Statistics Theory · Mathematics 2025-10-24 Weiwei Zhuang , Weiqi Yang , Jiahua Chen

Multivariable predictive models are important statistical tools for providing synthetic diagnosis and prognostic algorithms based on multiple patients' characteristics. Their apparent discriminant and calibration measures usually have…

Applications · Statistics 2021-07-14 Katsuhiro Iba , Tomohiro Shinozaki , Kazushi Maruo , Hisashi Noma

Nonparametric regression and regression-discontinuity designs suffer from smoothing bias that distorts conventional confidence intervals. Solutions based on robust bias correction (RBC) are now central to the economist's toolbox. In this…

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