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The article is devoted to the nonparametric estimation of the quadratic covariation of non-synchronously observed It\^o processes in an additive microstructure noise model. In a high-frequency setting, we aim at establishing an asymptotic…

统计理论 · 数学 2011-06-22 Markus Bibinger

On the basis of Nelson-Aalen product-limit estimator of a randomly censored distribution function, we introduce a kernel estimator to the tail index of right-censored Pareto-like data. Under some regularity assumptions, the consistency and…

统计理论 · 数学 2025-06-24 Nour Elhouda Guesmia , Abdelhakim Necir , Djamel Meraghni

In the present paper we consider the varying coefficient model which represents a useful tool for exploring dynamic patterns in many applications. Existing methods typically provide asymptotic evaluation of precision of estimation…

统计理论 · 数学 2013-02-07 Olga Klopp , Marianna Pensky

In classical study designs, the aim is often to learn about the effects of a treatment or intervention on a single outcome; in many modern studies, however, data on multiple outcomes are collected and it is of interest to explore effects on…

统计方法学 · 统计学 2017-06-15 Edward H. Kennedy , Shreya Kangovi , Nandita Mitra

We propose a unified framework for establishing existence of nonparametric M-estimators, computing the corresponding estimates, and proving their strong consistency when the class of functions is exceptionally rich. In particular, the…

统计理论 · 数学 2019-09-11 Johannes O. Royset , Roger J-B Wets

This paper proposes an Extended-Kalman-Filter-like observer for parameter estimation during synchronization of chaotic systems. The exponential stability of the observer is guaranteed by a persistent excitation condition. This approach is…

混沌动力学 · 物理学 2017-06-21 L. Torres

Survivorship analysis allows to statistically analyze situations that can be modeled as waiting times to an event. These waiting times are characterized by the cumulative hazard rate, which can be estimated by the Nelson-Aalen estimator or…

统计理论 · 数学 2019-07-04 Niklas Hohmann

Inverse probability weighted estimators are the oldest and potentially most commonly used class of procedures for the estimation of causal effects. By adjusting for selection biases via a weighting mechanism, these procedures estimate an…

统计方法学 · 统计学 2021-07-06 Ashkan Ertefaie , Nima S. Hejazi , Mark J. van der Laan

Compared to the nominal scale, the ordinal scale for a categorical outcome variable has the property of making a monotonicity assumption for the covariate effects meaningful. This assumption is encoded in the commonly used proportional odds…

统计方法学 · 统计学 2023-10-04 Olli Saarela , Christian Rohrbeck , Elja Arjas

This paper introduces a straightforward sieve-based approach for estimating and conducting inference on regression parameters in panel data models with interactive fixed effects. The method's key assumption is that factor loadings can be…

计量经济学 · 经济学 2025-02-26 Georg Keilbar , Juan M. Rodriguez-Poo , Alexandra Soberon , Weining Wang

In this paper, we are concerned with nonparametric estimation of the multivariate regression function in the presence of right censored data. More precisely, we propose a statistic that is shown to be asymptotically normally distributed…

统计理论 · 数学 2008-02-08 Mohammed Debbarh , Vivian Viallon

Computing the variance of a conditional expectation has often been of importance in uncertainty quantification. Sun et al. has introduced an unbiased nested Monte Carlo estimator, which they call $1\frac{1}{2}$-level simulation since the…

统计计算 · 统计学 2019-12-09 Takashi Goda

We study maximum-likelihood-type estimation for diffusion processes when the coefficients are nonrandom and observation occurs in nonsynchronous manner. The problem of nonsynchronous observations is important when we consider the analysis…

统计理论 · 数学 2022-07-04 Teppei Ogihara

Following the student t-statistic, normalization has been a widely used method in statistic and other disciplines including economics, ecology and machine learning. We focus on statistics taking the form of a ratio over (some power of) the…

统计理论 · 数学 2025-09-19 Haolin Zou , Heyuan Yao , Victor de la Peña

We present large sample results for partitioning-based least squares nonparametric regression, a popular method for approximating conditional expectation functions in statistics, econometrics, and machine learning. First, we obtain a…

统计理论 · 数学 2020-07-20 Matias D. Cattaneo , Max H. Farrell , Yingjie Feng

We present a nonparametric family of estimators for the tail index of a Pareto-type distribution when covariate information is available. Our estimators are based on a weighted sum of the log-spacings between some selected observations.…

统计理论 · 数学 2011-04-06 L. Gardes , S. Girard

Semi-competing risks refer to the phenomenon where a primary event (such as mortality) can ``censor'' an intermediate event (such as relapse of a disease), but not vice versa. Under the multi-state model, the primary event consists of two…

统计方法学 · 统计学 2024-10-10 Yuhao Deng , Yi Wang , Xiang Zhan , Xiao-Hua Zhou

For estimating conditional survival functions, non-parametric estimators can be preferred to parametric and semi-parametric estimators due to relaxed assumptions that enable robust estimation. Yet, even when misspecified, parametric and…

统计方法学 · 统计学 2014-12-23 Andrew Wey , John Connett , Kyle Rudser

We study admissibility of a subclass of generalized Bayes estimators of a multivariate normal vector when the variance is unknown, under scaled quadratic loss. Minimaxity is also established for certain of these estimators.

统计理论 · 数学 2020-03-20 Yuzo Maruyama , William E. Strawderman

Accelerated failure time (AFT) models provide a direct and interpretable time-scale description of covariate effects in lifetime data analysis, but classical formulations rely on linear predictors and are therefore limited in their ability…

机器学习 · 统计学 2026-03-20 Mebin Jose , Jisha Francis , Sudheesh Kumar Kattumannil