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In this work we present a simple estimation procedure for a general frailty model for analysis of prospective correlated failure times. Earlier work showed this method to perform well in a simulation study. Here we provide rigorous…

统计理论 · 数学 2007-06-13 David M. Zucker , Malka Gorfine , Li Hsu

We consider instrumental variable estimation of the proportional hazards model of Cox (1972). The instrument and the endogenous variable are discrete but there can be (possibly continuous) exogenous covariables. By making a rank invariance…

计量经济学 · 经济学 2023-09-06 Lorenzo Tedesco , Jad Beyhum , Ingrid Van Keilegom

Although proportional hazard rate model is a very popular model to analyze failure time data, sometimes it becomes important to study the additive hazard rate model. Again, sometimes the concept of the hazard rate function is abstract, in…

统计理论 · 数学 2017-05-30 Suchismita Das , Asok K. Nanda

The partially linear binary choice model can be used for estimating structural equations where nonlinearity may appear due to diminishing marginal returns, different life cycle regimes, or hectic physical phenomena. The inference procedure…

计量经济学 · 经济学 2023-12-01 Wenzheng Gao , Zhenting Sun

Difficulties may arise when analyzing longitudinal data using mixed-effects models if there are nonparametric functions present in the linear predictor component. This study extends the use of semiparametric mixed-effects modeling in cases…

统计方法学 · 统计学 2024-02-05 Mozhgan Taavoni , Mohammad Arashi

Stimulated by the Boston house price data, in this paper, we propose a semiparametric spatial dynamic model, which extends the ordinary spatial autoregressive models to accommodate the effects of some covariates associated with the house…

统计理论 · 数学 2014-05-26 Yan Sun , Hongjia Yan , Wenyang Zhang , Zudi Lu

Prior to clinical applications, it is critical that risk prediction models are evaluated in independent studies that did not contribute to model development. While prospective cohort studies provide a natural setting for model validation,…

统计方法学 · 统计学 2017-10-13 Parichoy Pal Choudhury , Anil K. Chaturvedi , Nilanjan Chatterjee

We study the use of Temporal-Difference learning for estimating the structural parameters in dynamic discrete choice models. Our algorithms are based on the conditional choice probability approach but use functional approximations to…

计量经济学 · 经济学 2022-12-23 Karun Adusumilli , Dita Eckardt

We study generalized additive partial linear models, proposing the use of polynomial spline smoothing for estimation of nonparametric functions, and deriving quasi-likelihood based estimators for the linear parameters. We establish…

统计理论 · 数学 2011-12-13 Li Wang , Xiang Liu , Hua Liang , Raymond J. Carroll

For the analysis of time-to-event data, frequently used methods such as the log-rank test or the Cox proportional hazards model are based on the proportional hazards assumption, which is often debatable. Although a wide range of parametric…

We reassess the use of linear models to approximate response probabilities of binary outcomes, focusing on average partial effects (APE). We confirm that linear projection parameters coincide with APEs in certain scenarios. Through…

计量经济学 · 经济学 2023-10-19 Kaicheng Chen , Robert S. Martin , Jeffrey M. Wooldridge

Filtering and parameter estimation under partial information for multiscale problems is studied in this paper. After proving mean square convergence of the nonlinear filter to a filter of reduced dimension, we establish that the conditional…

概率论 · 数学 2014-09-09 Andrew Papanicolaou , Konstantinos Spiliopoulos

Relative error approaches are more of concern compared to absolute error ones such as the least square and least absolute deviation, when it needs scale invariant of output variable, for example with analyzing stock and survival data. An…

统计方法学 · 统计学 2017-04-21 Zhanfeng Wang , Zhuojian Chen , Zimu Chen

We propose a new method called localized conformal prediction, where we can perform conformal inference using only a local region around a new test sample to construct its confidence interval. Localized conformal inference is a natural…

统计理论 · 数学 2020-07-08 Leying Guan

Fixed effect estimators of nonlinear panel data models suffer from the incidental parameter problem. This leads to two undesirable consequences in applied research: (1) point estimates are subject to large biases, and (2) confidence…

计量经济学 · 经济学 2022-04-18 Shuowen Chen

A novel approach to the problem of partial state estimation of nonlinear systems is proposed. The main idea is to translate the state estimation problem into one of estimation of constant, unknown parameters related to the systems initial…

系统与控制 · 计算机科学 2016-04-08 Ortega Romeo , Bobtsov Alexey , Pyrkin Anton , Aranovskiy Stanislav

We consider generalized linear regression analysis with left-censored covariate due to the lower limit of detection. Complete case analysis by eliminating observations with values below limit of detection yields valid estimates for…

统计方法学 · 统计学 2014-12-09 Shengchun Kong , Bin Nan

In this paper we explore partial coherence as a tool for evaluating causal influence of one signal sequence on another. In some cases the signal sequence is sampled from a time- or space-series. The key idea is to establish a connection…

信号处理 · 电气工程与系统科学 2021-12-09 Louis L. Scharf , Yuan Wang

Motivated by better modeling of intra-individual variability in longitudinal data, we propose a class of location-scale mixed effects models, in which the data of each individual is modeled by a parameter-varying generalized hyperbolic…

统计理论 · 数学 2023-03-13 Yuki Fujinaga , Hiroki Masuda

The missing data issue often complicates the task of estimating generalized linear models (GLMs). We describe why the pseudo-marginal Metropolis-Hastings algorithm, used in this setting, is an effective strategy for parameter estimation.…

统计方法学 · 统计学 2019-07-23 Taylor R. Brown , Timothy L. McMurry , Alexander Langevin