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This paper presents a realistic, stochastic, and local model that reproduces nonrelativistic quantum mechanics (QM) results without using its mathematical formulation. The proposed model only uses integer-valued quantities and operations on…

量子物理 · 物理学 2018-01-17 Antonio Sciarretta

In this study an attempt has been made to propose a way to develop new distribution. For this purpose, we need only idea about distribution function. Some important statistical properties of the new distribution like moments, cumulants,…

统计方法学 · 统计学 2024-08-30 Brijesh P. Singh , Utpal Dhar Das

Computing the similarity between two probability distributions is a recurring theme across control. We introduce a unified family of distances between the probability distributions of two random variables that is based on the discrepancy…

系统与控制 · 电气工程与系统科学 2025-10-03 Alexandros E. Tzikas , Arec Jamgochian , Nazim Kemal Ure , Mykel J. Kochenderfer , Stephen P. Boyd

Quantile regression is a technique to estimate conditional quantile curves. It provides a comprehensive picture of a response contingent on explanatory variables. In a flexible modeling framework, a specific form of the conditional quantile…

统计理论 · 数学 2012-08-31 Vladimir Spokoiny , Weining Wang , Wolfgang Karl Härdle

The aim of this paper is to apply a contextual probabilistic model (in the spirit of Mackey, Gudder, Ballentine) to represent and to generalize some results of quantum logic about possible macroscopic quantum-like (QL) behaviour. The…

量子物理 · 物理学 2014-03-13 Andrei Khrennikov

We introduce new quantile estimators with adaptive importance sampling. The adaptive estimators are based on weighted samples that are neither independent nor identically distributed. Using a new law of iterated logarithm for martingales,…

统计理论 · 数学 2010-03-01 Daniel Egloff , Markus Leippold

The Teissier distribution, originally proposed by Teissier [31], was designed to model mortality due to aging in domestic animals. More recently, Krishna et al. [19] introduced the Unit Teissier (UT) distribution on the interval (0, 1)…

应用统计 · 统计学 2026-03-13 Zuber Akhter , Mohamed A. Abdelaziz , M. Z. Anis , Ahmed Z. Afify

In this paper the Gaussian quasi maximum likelihood estimator (GQMLE) is generalized by applying a transform to the probability distribution of the data. The proposed estimator, called measure-transformed GQMLE (MT-GQMLE), minimizes the…

统计方法学 · 统计学 2016-10-19 Koby Todros , Alfred O. Hero

This study is concerned with the problem of partial state estimation for linear time-invariant (LTI) distributed state-space systems. A necessary and sufficient condition is established in terms of a simple rank criterion involving the…

最优化与控制 · 数学 2026-04-02 Juhi Jaiswal , Thomas Berger , Nutan Kumar Tomar

A quantum random walk model is established on a one-dimensional periodic lattice that fluctuates between two possible states. This model is defined by Lindblad rate equations that incorporate the transition rates between the two lattice…

量子物理 · 物理学 2024-05-28 Luis Octavio Castaños-Cervantes , Jesús Casado-Pascual

A simple numerical method for loading of a relativistic Maxwellian-type distribution is proposed based on inverse transform sampling. The relativistic Maxwellian energy distribution is introduced as an alternative to the Maxwell-J\"{u}ttner…

等离子体物理 · 物理学 2026-03-05 Takayuki Umeda

Quantile regression provides a framework for modeling statistical quantities of interest other than the conditional mean. The regression methodology is well developed for linear models, but less so for nonparametric models. We consider…

统计理论 · 数学 2009-09-29 Mi-Ok Kim

We present here a unit-log-symmetric model based on the bivariate log-symmetric distribution. It is a flexible family of distributions over the interval $(0, 1)$. We then discuss its mathematical properties such as stochastic…

统计方法学 · 统计学 2022-12-07 Roberto Vila , Narayanaswamy Balakrishnan , Helton Saulo , Peter Zörnig

The quantum statistical parton distributions approach proposed more than one decade ago is revisited by considering a larger set of recent and accurate Deep Inelastic Scattering experimental results. It enables us to improve the description…

高能物理 - 唯象学 · 物理学 2015-12-09 Claude Bourrely , Jacques Soffer

This paper studies the estimation of characteristic-based quantile factor models where the factor loadings are unknown functions of observed individual characteristics while the idiosyncratic error terms are subject to conditional quantile…

计量经济学 · 经济学 2023-04-27 Liang Chen , Juan Jose Dolado , Jesus Gonzalo , Haozi Pan

A novel approach to solve the problem of distributed state estimation of linear time-invariant systems is proposed in this paper. It relies on the application of parameter estimation-based observers, where the state observation task is…

系统与控制 · 电气工程与系统科学 2020-05-28 Romeo Ortega , Emmanuel Nuño , Alexei Bobtsov

Rigorous guarantees about the performance of predictive algorithms are necessary in order to ensure their responsible use. Previous work has largely focused on bounding the expected loss of a predictor, but this is not sufficient in many…

机器学习 · 计算机科学 2022-12-29 Jake C. Snell , Thomas P. Zollo , Zhun Deng , Toniann Pitassi , Richard Zemel

We propose a revised definition of quasi-distributions within the framework of large-momentum effective theory (LaMET) that improves convergence towards the large-momentum limit. Since the definition of quasi-distributions is not unique,…

高能物理 - 唯象学 · 物理学 2019-05-13 Tomomi Ishikawa , Luchang Jin , Huey-Wen Lin , Andreas Schäfer , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

We investigate an empirical quantile estimation approach to solve chance-constrained nonlinear optimization problems. Our approach is based on the reformulation of the chance constraint as an equivalent quantile constraint to provide…

最优化与控制 · 数学 2024-10-16 Fengqiao Luo , Jeffrey Larson

This paper examines the precision of estimators of Quantile-Based Risk Measures (Value at Risk, Expected Shortfall, Spectral Risk Measures). It first addresses the question of how to estimate the precision of these estimators, and proposes…

风险管理 · 定量金融 2011-03-30 Kevin Dowd , John Cotter