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Machine Learning algorithms are notorious for providing point predictions but not prediction intervals. There are many applications where one requires confidence in predictions and prediction intervals. Stringing together, these intervals…

机器学习 · 统计学 2024-05-28 Eshant English

In this paper we propose a recursive online algorithm for estimating the parameters of a time-varying ARCH process. The estimation is done by updating the estimator at time point $t-1$ with observations about the time point $t$ to yield an…

统计理论 · 数学 2009-09-29 Rainer Dahlhaus , Suhasini Subba Rao

In this paper, we propose a modified Newton-Raphson algorithm to estimate the frequency parameter in the fundamental frequency model in presence of an additive stationary error. The proposed estimator is super efficient in nature in the…

统计理论 · 数学 2018-12-19 Swagata Nandi , Debasis Kundu

Estimation of mutual information between (multidimensional) real-valued variables is used in analysis of complex systems, biological systems, and recently also quantum systems. This estimation is a hard problem, and universally good…

定量方法 · 定量生物学 2019-08-14 Caroline M. Holmes , Ilya Nemenman

For studying or reducing the bias of functionals of the Kaplan-Meier survival estimator, the jackknifing approach of Stute and Wang (1994) is natural. We have studied the behavior of the jackknife estimate of bias under different…

统计方法学 · 统计学 2013-12-17 Md Hasinur Rahaman Khan , J. Ewart H. Shaw

Despite attractive theoretical guarantees and practical successes, Predictive Interval (PI) given by Conformal Prediction (CP) may not reflect the uncertainty of a given model. This limitation arises from CP methods using a constant…

机器学习 · 统计学 2023-06-01 Salim I. Amoukou , Nicolas J. B Brunel

A rich set of frequentist model averaging methods has been developed, but their applications have largely been limited to point prediction, as measuring prediction uncertainty in general settings remains an open problem. In this paper we…

计量经济学 · 经济学 2025-10-21 Zhongjun Qu , Wendun Wang , Xiaomeng Zhang

Besides the well-known effect of autocorrelations in time series of Monte Carlo simulation data resulting from the underlying Markov process, using the same data pool for computing various estimates entails additional cross correlations.…

统计力学 · 物理学 2014-11-20 Martin Weigel , Wolfhard Janke

A new approach of obtaining stratified random samples from statistically dependent random variables is described. The proposed method can be used to obtain samples from the input space of a computer forward model in estimating expectations…

统计方法学 · 统计学 2019-11-25 Anirban Mondal , Abhijit Mandal

In this article, we consider the numerical approximation of far-field statistics for acoustic scattering problems in the case of random obstacles. In particular, we consider the computation of the expected far-field pattern and the expected…

数值分析 · 数学 2018-10-09 Helmut Harbrecht , Nikola Ilić , Michael D. Multerer

Accurate uncertainty estimates can significantly improve the performance of iterative design of experiments, as in Sequential and Reinforcement learning. For many such problems in engineering and the physical sciences, the design task…

机器学习 · 统计学 2022-05-20 Brendan Folie , Maxwell Hutchinson

A prescription is presented for a new and practical correlation coefficient, $\phi_K$, based on several refinements to Pearson's hypothesis test of independence of two variables. The combined features of $\phi_K$ form an advantage over…

统计方法学 · 统计学 2019-03-12 M. Baak , R. Koopman , H. Snoek , S. Klous

A reasonable confidence interval should have a confidence coefficient no less than the given nominal level and a small expected length to reliably and accurately estimate the parameter of interest, and the bootstrap interval is considered…

统计理论 · 数学 2024-02-15 Weizhen Wang , Chongxiu Yu , Zhongzhan Zhang

Detecting abrupt changes in the mean of a time series, so-called changepoints, is important for many applications. However, many procedures rely on the estimation of nuisance parameters (like long-run variance). Under the alternative (a…

统计理论 · 数学 2018-08-14 Michal Pešta , Martin Wendler

Bivariate extreme-value distributions have been used in modeling extremes in environmental sciences and risk management. An important issue is estimating the dependence function, such as the Pickands dependence function. Some estimators for…

统计理论 · 数学 2013-03-21 Liang Peng , Linyi Qian , Jingping Yang

For differences between means of continuous data from independent groups, the customary scale-free measure of effect is the standardized mean difference (SMD). To justify use of SMD, one should be reasonably confident that the group-level…

统计理论 · 数学 2025-12-10 Elena Kulinskaya , David C. Hoaglin

Recently a considerable interest has been paid on the estimation problem of the realized volatility and covolatility by using high-frequency data of financial price processes in financial econometrics. Threshold estimation is one of the…

概率论 · 数学 2015-05-01 Hacène Djellout , Hui Jiang

We report multipronged progress on the stochastic averaging approach to numerical analytic continuation of quantum Monte Carlo data. With the sampled spectrum parametrized with delta-functions in continuous frequency space, a calculation of…

强关联电子 · 物理学 2023-01-11 Hui Shao , Anders W. Sandvik

Bootstrap inference is a powerful tool for obtaining robust inference for quantiles and difference-in-quantiles estimators. The computationally intensive nature of bootstrap inference has made it infeasible in large-scale experiments. In…

统计方法学 · 统计学 2022-03-10 Mårten Schultzberg , Sebastian Ankargren

High-dimensional time series forecasting suffers from severe overfitting when the number of predictors exceeds available observations, making standard local projection methods unstable and unreliable. We propose an enhanced Random Subspace…

机器学习 · 计算机科学 2026-03-10 Eman Khalid , Moimma Ali Khan , Zarmeena Ali , Abdullah Illyas , Muhammad Usman , Saoud Ahmed