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Analysis of a probabilistic system often requires to learn the joint probability distribution of its random variables. The computation of the exact distribution is usually an exhaustive precise analysis on all executions of the system. To…

信息论 · 计算机科学 2023-07-19 Fabrizio Biondi , Yusuke Kawamoto , Axel Legay , Louis-Marie Traonouez

This paper introduces a new two-parameter distribution, referred to as the Shiha distribution, which provides a flexible model for skewed lifetime data with either heavy or light tails. The proposed distribution is applicable to various…

统计方法学 · 统计学 2026-02-04 F. A. Shiha

As a nonparametric statistical inference approach, empirical likelihood has been found very useful in numerous occasions. However, it encounters serious computational challenges when applied directly to the modern massive dataset. This…

统计方法学 · 统计学 2024-01-24 Jinye Du , Qihua Wang

Distributional reinforcement learning algorithms have attempted to utilize estimated uncertainty for exploration, such as optimism in the face of uncertainty. However, using the estimated variance for optimistic exploration may cause biased…

机器学习 · 计算机科学 2023-12-06 Taehyun Cho , Seungyub Han , Heesoo Lee , Kyungjae Lee , Jungwoo Lee

This paper presents likelihood-based inference methods for the family of univariate gamma-normal distributions GN({\alpha}, r, {\mu}, {\sigma}^2 ) that result from summing independent gamma({\alpha}, r) and N({\mu}, {\sigma}^2 ) random…

应用统计 · 统计学 2024-12-03 Massimiliano Bonamente , Dale Zimmerman

Testing hypotheses of goodness-of-fit about mixture distributions on the basis of independent but not necessarily identically distributed random vectors is considered. The hypotheses are given by a specific distribution or by a family of…

统计理论 · 数学 2016-04-21 Daniel Gaigall

We extend a distributed finite element method built upon model order reduction to arbitrary polynomial degree using a hybrid Nitsche scheme. The new method considerably simplifies the transformation of the finite element system to the…

数值分析 · 数学 2026-01-13 Tom Gustafsson , Antti Hannukainen , Vili Kohonen , Juha Videman

Stein's method is used to approximate sums of discrete and locally dependent random variables by a centered and symmetric Binomial distribution. Under appropriate smoothness properties of the summands, the same order of accuracy as in the…

概率论 · 数学 2007-05-23 Adrian Röllin

We consider the problem of constructing explicit Hitting sets for Combinatorial Shapes, a class of statistical tests first studied by Gopalan, Meka, Reingold, and Zuckerman (STOC 2011). These generalize many well-studied classes of tests,…

计算复杂性 · 计算机科学 2012-11-16 Aditya Bhaskara , Devendra Desai , Srikanth Srinivasan

Specimens are collected from $N$ different sources. Each specimen has probability $p$ of being contaminated (e.g., in the case of an infectious disease, $p$ is the prevalence rate), independently of the other specimens. In many cases group…

概率论 · 数学 2024-01-31 Vassilis G. Papanicolaou

In this paper, the author proposes a series of multilevel double hashing schemes called cascade hash tables. They use several levels of hash tables. In each table, we use the common double hashing scheme. Higher level hash tables work as…

数据结构与算法 · 计算机科学 2015-06-26 Shaohua Li

In confirmatory clinical trials with small sample sizes, hypothesis tests based on asymptotic distributions are often not valid and exact non-parametric procedures are applied instead. However, the latter are based on discrete test…

统计方法学 · 统计学 2018-02-22 Robin Ristl , Dong Xi , Ekkehard Glimm , Martin Posch

Sequential hypothesis testing is a desirable decision making strategy in any time sensitive scenario. Compared with fixed sample-size testing, sequential testing is capable of achieving identical probability of error requirements using less…

机器学习 · 统计学 2017-11-17 Diyan Teng , Emre Ertin

Rule based classifiers that use the presence and absence of key sub-strings to make classification decisions have a natural mechanism for quantifying the uncertainty of their precision. For a binary classifier, the key insight is to treat…

机器学习 · 计算机科学 2020-05-20 James Nutaro , Ozgur Ozmen

In this paper, we investigate alpha testing for high-dimensional linear factor pricing models. We propose a spatial sign-based max-type test to handle sparse alternative cases. Additionally, we prove that this test is asymptotically…

统计方法学 · 统计学 2024-09-17 Ping Zhao , Long Feng , Hongfei Wang , Zhaojun Wang

We analyze different types of simulations that applied researchers can use to assess whether their inference methods reliably control false-positive rates. We show that different assessments involve trade-offs, varying in the types of…

计量经济学 · 经济学 2025-10-03 Bruno Ferman

We investigate the discrimination of two candidates of an unknown parameter in quantum systems with continuous weak measurement, inspired by the application of hypothesis testing in distinguish-ing two Hamiltonians [Kiilerich and M{\o}lmer,…

量子物理 · 物理学 2019-07-24 Beili Gong , Wei Cui

Two-stage stochastic optimization is a framework for modeling uncertainty, where we have a probability distribution over possible realizations of the data, called scenarios, and decisions are taken in two stages: we make first-stage…

数据结构与算法 · 计算机科学 2023-10-25 Andre Linhares , Chaitanya Swamy

We apply the method of Hankel transforms to develop goodness-of-fit tests for gamma distributions with given shape parameter and unknown rate parameter, thereby extending results of Baringhaus and Taherizadeh (2010) on the exponential…

统计理论 · 数学 2018-10-17 Elena Hadjicosta , Donald Richards

We introduce the BREASE framework for the Bayesian analysis of randomized controlled trials with a binary treatment and a binary outcome. Approaching the problem from a causal inference perspective, we propose parameterizing the likelihood…

统计方法学 · 统计学 2024-11-26 Nicholas J. Irons , Carlos Cinelli