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This paper develops and analyzes three families of estimators that continuously interpolate between classical quantiles and the sample mean. The construction begins with a smoothed version of the $L_{1}$ loss, indexed by a location…

Methodology · Statistics 2025-12-23 Saïd Maanan , Azzouz Dermoune , Ahmed El Ghini

This paper suggests a generalized class of estimators for population mean of the qualitative study variable in simple random sampling using information on an auxiliary variable. Asymptotic expressions of bias and mean square error of the…

Statistics Theory · Mathematics 2014-09-18 Prayas Sharma , Hemant K. Verma , Rajesh Singh

In the near future, millions of load curves measuring the electricity consumption of French households in small time grids (probably half hours) will be available. All these collected load curves represent a huge amount of information which…

Methodology · Statistics 2015-01-20 Hervé Cardot , Anne De Moliner , Camelia Goga

A key tool to carry out inference on the unknown copula when modeling a continuous multivariate distribution is a nonparametric estimator known as the empirical copula. One popular way of approximating its sampling distribution consists of…

Statistics Theory · Mathematics 2023-02-01 Ivan Kojadinovic , Kristina Stemikovskaya

Although complete randomization is widely regarded as the gold standard for causal inference, covariate imbalance can still arise by chance in finite samples. Rerandomization has emerged as an effective tool to improve covariate balance…

Methodology · Statistics 2026-01-21 Tingxuan Han , Yuhao Wang

We herein establish an asymptotic representation theorem for locally asymptotically normal quantum statistical models. This theorem enables us to study the asymptotic efficiency of quantum estimators such as quantum regular estimators and…

Quantum Physics · Physics 2024-11-14 Akio Fujiwara , Koichi Yamagata

Empirical relationships are derived for the expected sampling error of quantile estimations using Monte Carlo experiments for two frequency distributions frequently encountered in climate sciences. The relationships found are expressed as a…

Methodology · Statistics 2016-10-12 Philippe Roy , René Laprise , Philippe Gachon

We give sufficient conditions for the asymptotic normality of linear combinations of order statistics (L-statistics) in the case of simple random samples without replacement. In the first case, restrictions are imposed on the weights of…

Statistics Theory · Mathematics 2012-04-11 Andrius Čiginas

Quantum computers promise significant speedups in solving problems intractable for conventional computers but, despite recent progress, remain limited in scaling and availability. Therefore, quantum software and hardware development heavily…

Quantum Physics · Physics 2023-11-08 Stefan Hillmich , Igor L. Markov , Robert Wille

Weak convergence of the empirical copula process indexed by a class of functions is established. Two scenarios are considered in which either some smoothness of these functions or smoothness of the underlying copula function is required. A…

Statistics Theory · Mathematics 2015-06-18 Dragan Radulovic , Marten Wegkamp , Yue Zhao

If multiway cluster-robust standard errors are used routinely in applied economics, surprisingly few theoretical results justify this practice. This paper aims to fill this gap. We first prove, under nearly the same conditions as with…

Econometrics · Economics 2018-08-06 Laurent Davezies , Xavier D'Haultfoeuille , Yannick Guyonvarch

The manuscript discusses how to incorporate random effects for quantile regression models for clustered data with focus on settings with many but small clusters. The paper has three contributions: (i) documenting that existing methods may…

Methodology · Statistics 2022-02-24 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu

The present study discuss the problem of estimating the finite population mean using auxiliary attribute in stratified random sampling. In this paper taking the advantage of point bi-serial correlation between the study variable and…

Statistics Theory · Mathematics 2014-08-13 Hemant K. Verma , Prayas Sharma , Rajesh Singh

As data volume grows extensively, data profiling helps to extract metadata of large-scale data. However, one kind of metadata, order statistics, is difficult to be computed because they are not mergeable or incremental. Thus, the limitation…

Data Structures and Algorithms · Computer Science 2020-06-29 Zhiwei Chen , Aoqian Zhang

The extremes of a stationary time series typically occur in clusters. A primary measure for this phenomenon is the extremal index, representing the reciprocal of the expected cluster size. Both a disjoint and a sliding blocks estimator for…

Statistics Theory · Mathematics 2017-07-14 Betina Berghaus , Axel Bücher

Existing methods for the estimation of stable distribution parameters, such as those based on sample quantiles, sample characteristic functions or maximum likelihood generally assume an independent sample. Little attention has been paid to…

Statistics Theory · Mathematics 2014-05-05 Adrian W. Barker

This paper provides conditions under which subsampling and the bootstrap can be used to construct estimators of the quantiles of the distribution of a root that behave well uniformly over a large class of distributions $\mathbf{P}$. These…

Statistics Theory · Mathematics 2013-02-19 Joseph P. Romano , Azeem M. Shaikh

In a classical regression model, it is usually assumed that the explanatory variables are independent of each other and error terms are normally distributed. But when these assumptions are not met, situations like the error terms are not…

Statistics Theory · Mathematics 2017-09-08 Bahadır Yüzbaşı , Yasin Asar , Ahmet Demiralp , M. Şamil Şık

We consider the problem of estimating quantile treatment effects without assuming strict overlap , i.e., we do not assume that the propensity score is bounded away from zero. More specifically, we consider an inverse probability weighting…

Statistics Theory · Mathematics 2026-02-24 Marco Avella-Medina , Richard Davis , Gennady Samorodnitsky

Many datasets describing contacts in a population suffer from incompleteness due to population sampling and underreporting of contacts. Data-driven simulations of spreading processes using such incomplete data lead to an underestimation of…

Physics and Society · Physics 2017-09-07 Julie Fournet , Alain Barrat