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Bayesian hypothesis testing is investigated when the prior probabilities of the hypotheses, taken as a random vector, are quantized. Nearest neighbor and centroid conditions are derived using mean Bayes risk error as a distortion measure…

信息论 · 计算机科学 2008-09-20 Kush R. Varshney , Lav R. Varshney

Test log-likelihood is commonly used to compare different models of the same data or different approximate inference algorithms for fitting the same probabilistic model. We present simple examples demonstrating how comparisons based on test…

机器学习 · 统计学 2024-01-22 Sameer K. Deshpande , Soumya Ghosh , Tin D. Nguyen , Tamara Broderick

Distribution testing can be described as follows: $q$ samples are being drawn from some unknown distribution $P$ over a known domain $[n]$. After the sampling process, a decision must be made about whether $P$ holds some property, or is far…

分布式、并行与集群计算 · 计算机科学 2020-12-04 Uri Meir

A large fraction of papers in the climate literature includes erroneous uses of significance tests. A Bayesian analysis is presented to highlight the meaning of significance tests and why typical misuse occurs. It is concluded that a…

大气与海洋物理 · 物理学 2016-08-24 Maarten H. P. Ambaum

Conformal prediction has been a very popular method of distribution-free predictive inference in recent years in machine learning and statistics. Its popularity stems from the fact that it works as a wrapper around any prediction algorithm…

统计方法学 · 统计学 2021-06-07 Arun Kumar Kuchibhotla

We introduce probability estimation, a broadly applicable framework to certify randomness in a finite sequence of measurement results without assuming that these results are independent and identically distributed. Probability estimation…

量子物理 · 物理学 2018-11-30 Yanbao Zhang , Emanuel Knill , Peter Bierhorst

Causal analyses for observational studies are often complicated by covariate imbalances among treatment groups, and matching methodologies alleviate this complication by finding subsets of treatment groups that exhibit covariate balance. It…

统计方法学 · 统计学 2021-04-26 Zach Branson

As animals interact with their environments, they must infer properties of their surroundings. Some animals, including humans, can represent uncertainty about those properties. But when, if ever, do they use probability distributions to…

神经元与认知 · 定量生物学 2024-04-15 Samuel Lippl , Raphael Gerraty , John Morrison , Nikolaus Kriegeskorte

The issue addressed in this paper is that of testing for common breaks across or within equations of a multivariate system. Our framework is very general and allows integrated regressors and trends as well as stationary regressors. The null…

统计理论 · 数学 2018-01-12 Tatsushi Oka , Pierre Perron

One central goal of design of observational studies is to embed non-experimental data into an approximate randomized controlled trial using statistical matching. Despite empirical researchers' best intention and effort to create…

统计方法学 · 统计学 2022-06-22 Kan Chen , Siyu Heng , Qi Long , Bo Zhang

For obtaining causal inferences that are objective, and therefore have the best chance of revealing scientific truths, carefully designed and executed randomized experiments are generally considered to be the gold standard. Observational…

应用统计 · 统计学 2008-11-12 Donald B. Rubin

It is quite common in modern research, for a researcher to test many hypotheses. The statistical (frequentist) hypothesis testing framework, does not scale with the number of hypotheses in the sense that naively performing many hypothesis…

统计方法学 · 统计学 2013-06-26 Jonathan Rosenblatt

The algorithmic theory of randomness is well developed when the underlying space is the set of finite or infinite sequences and the underlying probability distribution is the uniform distribution or a computable distribution. These…

计算复杂性 · 计算机科学 2016-08-31 Peter Gacs

System modeling is a classical approach to ensure their reliability since it is suitable both for a formal verification and for software testing techniques. In the context of model-based testing an approach combining random testing and…

软件工程 · 计算机科学 2018-06-14 Julien Bernard , Pierre-Cyrille Héam , Olga Kouchnarenko

The field of property testing of probability distributions, or distribution testing, aims to provide fast and (most likely) correct answers to questions pertaining to specific aspects of very large datasets. In this work, we consider a…

数据结构与算法 · 计算机科学 2015-04-27 Clément L. Canonne

The purpose of this paper is to look into how central notions in statistical learning theory, such as realisability, generalise under the assumption that train and test distribution are issued from the same credal set, i.e., a convex set of…

机器学习 · 计算机科学 2024-02-23 Fabio Cuzzolin

The $T$-test is probably the most popular statistical test; it is routinely recommended by the textbooks. The applicability of the test relies upon the validity of normal or Student's approximation to the distribution of Student's statistic…

统计理论 · 数学 2021-01-01 S. Y. Novak

Representativeness is a foundational yet slippery concept. Though familiar at first blush, it lacks a single precise meaning. Instead, meanings range from typical or characteristic, to a proportionate match between sample and population, to…

计算机与社会 · 计算机科学 2021-02-11 Kyla Chasalow , Karen Levy

Software testing is presented as a so-called theme within which different authors and groups have defined different subjects each of these subjects having a different focus on testing. A uniform concept of software testing is non-existent…

软件工程 · 计算机科学 2012-01-20 J. A. Bergstra

Even if never elucidated, the question of determinism is a standing question along the history of human thinking. A physical system evolves in a deterministic way if its future is completely determined once we have fixed some present…

量子物理 · 物理学 2010-06-30 Ramon Lapiedra , Francisco Montes