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In this paper we introduce a new lifetime distribution by compounding exponential and Poisson-Lindley distributions, named exponential Poisson-Lindley distribution. Several properties are derived, such as density, failure rate, mean…

统计方法学 · 统计学 2013-02-20 Wagner Barreto-Souza , Hassan S. Bakouch

In this paper, we consider the concept of the residual inaccuracy measure and extend it to its weighted version based on extropy. Properties of this measure are studied and the discrimination principle is applied in the class of…

统计方法学 · 统计学 2025-02-03 M. Hashempour , M. R. Kazemi

Soft targets combined with the cross-entropy loss have shown to improve generalization performance of deep neural networks on supervised classification tasks. The standard cross-entropy loss however assumes data to be categorically…

机器学习 · 计算机科学 2024-07-16 Johannes Hugger , Virginie Uhlmann

Using cumulative residual processes, we propose joint goodness-of-fit tests for conditional means and variances functions in the context of nonlinear time series with martingale difference innovations. The main challenge comes from the fact…

统计方法学 · 统计学 2021-07-02 Kilani Ghoudi , Naâmane Laïb , Mohamed Chaouch

Distributional reinforcement learning (DRL) enhances the understanding of the effects of the randomness in the environment by letting agents learn the distribution of a random return, rather than its expected value as in standard…

最优化与控制 · 数学 2024-03-26 Zifan Wang , Yulong Gao , Siyi Wang , Michael M. Zavlanos , Alessandro Abate , Karl H. Johansson

Reinforcement learning (RL) has become an effective way to improve prompt alignment and perceptual quality in diffusion and flow-matching generators. A critical step for applying online RL to flow matching is turning the deterministic…

机器学习 · 计算机科学 2026-05-25 Jade Zou , Tao Huang , Weijie Kong , Junzhe Li , Yue Wu , Qi Tian , Jiangfeng Xiong , Jianwei Zhang , Liefeng Bo , Zhao Zhong

This research deals with massive multiple hypothesis testing. First regarding multiple tests as an estimation problem under a proper population model, an error measurement called Erroneous Rejection Ratio (ERR) is introduced and related to…

统计理论 · 数学 2007-06-13 Cheng Cheng

With the emergence of precision medicine, estimating optimal individualized decision rules (IDRs) has attracted tremendous attention in many scientific areas. Most existing literature has focused on finding optimal IDRs that can maximize…

统计方法学 · 统计学 2022-06-28 Zhengling Qi , Jong-Shi Pang , Yufeng Liu

In natural phenomena, data distributions often deviate from normality. One can think of cataclysms as a self-explanatory example: events that occur almost never, and at the same time are many standard deviations away from the common…

机器学习 · 计算机科学 2022-12-16 Nuno Costa , Nuno Moniz

Probabilistic regression models trained with maximum likelihood estimation (MLE), can sometimes overestimate variance to an unacceptable degree. This is mostly problematic in the multivariate domain. While univariate models often optimize…

人工智能 · 计算机科学 2024-09-24 Daan Roordink , Sibylle Hess

The adversarial vulnerability of deep neural networks (DNNs) has been actively investigated in the past several years. This paper investigates the scale-variant property of cross-entropy loss, which is the most commonly used loss function…

机器学习 · 计算机科学 2022-10-12 Ziquan Liu , Antoni B. Chan

Conditional Variance Estimation (CVE) is a novel sufficient dimension reduction (SDR) method for additive error regressions with continuous predictors and link function. It operates under the assumption that the predictors can be replaced…

统计方法学 · 统计学 2021-02-18 Lukas Fertl , Efstathia Bura

In industrial, environmental, and ecological investigations, ranked set sampling is a sample method that enables the experimenter to use the whole range of population values. The ranked set sampling process can be modified in two extremely…

统计理论 · 数学 2023-05-03 Santosh Kumar Chaudhary , Nitin Gupta

This paper presents new families of Rao-type test statistics based on the minimum density power divergence estimators which provide robust generalizations for testing simple and composite null hypotheses. The asymptotic null distributions…

统计方法学 · 统计学 2019-08-27 Ayanendranath Basu , Abhik Ghosh , Nirian Martin , Leandro Pardo

We show that the effectiveness of the well celebrated Mixup [Zhang et al., 2018] can be further improved if instead of using it as the sole learning objective, it is utilized as an additional regularizer to the standard cross-entropy loss.…

机器学习 · 计算机科学 2023-02-08 Francesco Pinto , Harry Yang , Ser-Nam Lim , Philip H. S. Torr , Puneet K. Dokania

Many flexible families of positive random variables exhibit non-closed forms of the density and distribution functions and this feature is considered unappealing for modelling purposes. However, such families are often characterized by a…

This study considers the problem of testing for a parameter change in the presence of outliers. For this, we propose a robust test using the objective function of minimum density power divergence estimator (MDPDE) by Basu et al.…

统计理论 · 数学 2020-03-04 Junmo Song , Jiwon Kang

The extropy is a measure of information introduced by Lad et al. (2015) as dual to entropy. As the entropy, it is a shift-independent information measure. We introduce here the notion of weighted extropy, a shift-dependent information…

统计理论 · 数学 2020-08-19 Narayanaswamy Balakrishnan , Francesco Buono , Maria Longobardi

The notion of expansivity and its generalizations (measure expansive, measure positively expansive, continuum-wise expansive, countably-expansive) are well known for deterministic systems and can be a useful property for studying…

动力系统 · 数学 2024-10-15 Rafael A. Bilbao , Marlon Oliveira , Eduardo Santana

This paper discusses asymptotically distribution free tests for the classical goodness-of-fit hypothesis of an error distribution in nonparametric regression models. These tests are based on the same martingale transform of the residual…

统计理论 · 数学 2009-09-02 Estate V. Khmaladze , Hira L. Koul