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Statistical estimation and inference for marginal hazard models with varying coefficients for multivariate failure time data are important subjects in survival analysis. A local pseudo-partial likelihood procedure is proposed for estimating…

统计理论 · 数学 2009-09-29 Jianwen Cai , Jianqing Fan , Haibo Zhou , Yong Zhou

Sequential estimation of the success probability $p$ in inverse binomial sampling is considered in this paper. For any estimator $\hat p$, its quality is measured by the risk associated with normalized loss functions of linear-linear or…

统计理论 · 数学 2018-12-18 Luis Mendo

In this paper we introduce new estimators of the coefficient functions in the varying coefficient regression model. The proposed estimators are obtained by projecting the vector of the full-dimensional kernel-weighted local polynomial…

统计理论 · 数学 2012-03-05 Young K. Lee , Enno Mammen , Byeong U. Park

We consider the problem of estimating a regression function from anonymized data in the framework of local differential privacy. We propose a novel partitioning estimate of the regression function, derive a rate of convergence for the…

统计理论 · 数学 2023-04-12 László Györfi , Martin Kroll

The likelihood function is a fundamental component in Bayesian statistics. However, evaluating the likelihood of an observation is computationally intractable in many applications. In this paper, we propose a non-parametric approximation of…

机器学习 · 计算机科学 2019-10-24 Viet Anh Nguyen , Soroosh Shafieezadeh-Abadeh , Man-Chung Yue , Daniel Kuhn , Wolfram Wiesemann

Let us consider $k ~(\ge 2)$ independent populations $\Pi_1, \ldots,\Pi_k$, where $\Pi_i$ follows exponential distribution with hazard rate ${\sigma_i},$ ($i = 1,\ldots,k$). Suppose $Y_{i1},\ldots, Y_{in}$ be a random sample of size $n$…

统计理论 · 数学 2021-07-09 Brijesh Kumar Jha , Ajaya Kumar Mahapatra , Suchandan Kayal

We consider the regression model with errors-in-variables where we observe $n$ i.i.d. copies of $(Y,Z)$ satisfying $Y=f(X)+\xi, Z=X+\sigma\epsilon$, involving independent and unobserved random variables $X,\xi,\epsilon$. The density $g$ of…

统计理论 · 数学 2008-02-11 Fabienne Comte , Marie-Luce Taupin

Generalized likelihood ratio statistics have been proposed in Fan, Zhang and Zhang [Ann. Statist. 29 (2001) 153-193] as a generally applicable method for testing nonparametric hypotheses about nonparametric functions. The likelihood ratio…

统计理论 · 数学 2007-06-13 Jianqing Fan , Jian Zhang

When a parameter of interest is nondifferentiable in the probability, the existing theory of semiparametric efficient estimation is not applicable, as it does not have an influence function. Song (2014) recently developed a local asymptotic…

统计理论 · 数学 2014-03-12 Kyungchul Song

This paper is devoted to the estimation of a vector parametrizing an energy function associated to some "Nearest-Neighbours" Gibbs point process, via the pseudo-likelihood method. We present some convergence results concerning this…

统计理论 · 数学 2016-08-16 Jean-Michel Billiot , Jean-François Coeurjolly , Rémy Drouilhet

This paper develops power and sample size formulas for causal inference with time-to-event outcomes. The target estimand is the marginal hazard ratio: the coefficient of a marginal structural Cox proportional hazard model with treatment as…

统计方法学 · 统计学 2026-05-19 Chengxin Yang , Bo Liu , Fan Li

Aalen's linear hazard rate regression model is a useful and increasingly popular alternative to Cox' multiplicative hazard rate model. It postulates that an individual has hazard rate function $h(s)=z_1\alpha_1(s)+\cdots+z_r\alpha_r(s)$ in…

统计方法学 · 统计学 2026-03-04 Nils Lid Hjort , Emil Aas Stoltenberg

The cause of failure in cohort studies that involve competing risks is frequently incompletely observed. To address this, several methods have been proposed for the semiparametric proportional cause-specific hazards model under a missing at…

统计方法学 · 统计学 2020-02-24 Giorgos Bakoyannis , Ying Zhang , Constantin T. Yiannoutsos

The attributable risk, often called the population attributable risk, is in many epidemiological contexts a more relevant measure of exposure-disease association than the excess risk, relative risk, or odds ratio. When estimating…

统计理论 · 数学 2008-12-31 Daniel B. Rubin

In this paper, we study the classification problem by estimating the conditional probability function of the given data. Different from the traditional expected risk estimation theory on empirical data, we calculate the probability via…

机器学习 · 计算机科学 2022-10-14 Meng-Xian Zhu , Yuan-Hai Shao

Following Baraud, Birg\'e and Sart (2017), we pursue our attempt to design a robust universal estimator of the joint ditribution of $n$ independent (but not necessarily i.i.d.) observations for an Hellinger-type loss. Given such…

统计理论 · 数学 2017-11-30 Yannick Baraud , Lucien Birgé

Motivated by the need to analyze continuously updated data sets in the context of time-to-event modeling, we propose a novel nonparametric approach to estimate the conditional hazard function given a set of continuous and discrete…

统计方法学 · 统计学 2025-07-03 Daphné Aurouet , Valentin Patilea

The ratio between two probability density functions is an important component of various tasks, including selection bias correction, novelty detection and classification. Recently, several estimators of this ratio have been proposed. Most…

统计方法学 · 统计学 2014-04-30 Rafael Izbicki , Ann B. Lee , Chad M. Schafer

In biometrics and related fields, the Cox proportional hazards model are widely used to analyze with covariate adjustment. However, when some covariates are not observed, an unbiased estimator usually cannot be obtained. Even if there are…

统计方法学 · 统计学 2022-06-06 Shunichiro Orihara

This paper addresses the estimation of locally stationary long-range dependent processes, a methodology that allows the statistical analysis of time series data exhibiting both nonstationarity and strong dependency. A time-varying…

统计理论 · 数学 2010-11-12 Wilfredo Palma , Ricardo Olea