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Deep-learning-based NLP models are found to be vulnerable to word substitution perturbations. Before they are widely adopted, the fundamental issues of robustness need to be addressed. Along this line, we propose a formal framework to…

Computation and Language · Computer Science 2022-01-12 Yuting Yang , Pei Huang , FeiFei Ma , Juan Cao , Meishan Zhang , Jian Zhang , Jintao Li

Suppose (standardized) measurements or statistics are monitored to raise an alarm when a threshold is exceeded. Often, the underlying population is heterogenous with respect to important discrete variables and thus samples may consist of…

Statistics Theory · Mathematics 2025-10-10 Ansgar Steland

We consider a robust version of the classical Wald test statistics for testing simple and composite null hypotheses for general parametric models. These test statistics are based on the minimum density power divergence estimators instead of…

Statistics Theory · Mathematics 2016-07-04 Abhik Ghosh , Abhijit Mandal , Nirian Martin , Leandro Pardo

When assessing the presence of an exposure causal effect on a given outcome, it is well known that classical measurement error of the exposure can reduce the power of a test of the null hypothesis in question, although its type I error rate…

Methodology · Statistics 2016-10-18 Caleb H. Miles , Joel Schwartz , Eric J. Tchetgen Tchetgen

Large language models (LLMs) have been widely used for mental health support. However, current safety evaluations in this field are mostly limited to detecting whether LLMs output prohibited words in single-turn conversations, neglecting…

Computation and Language · Computer Science 2026-01-22 Youyou Cheng , Zhuangwei Kang , Kerry Jiang , Chenyu Sun , Qiyang Pan

Recently Liu and Wang derived the likelihood ratio test (LRT) statistic and its asymptotic distribution for testing equality of two multinomial distributions vs. the alternative that the second distribution is larger in terms of increasing…

Statistics Theory · Mathematics 2007-06-13 Arthur Cohen , John Kolassa , Harold Sackrowitz

G-computation has become a widely used robust method for estimating unconditional (marginal) treatment effects with covariate adjustment in the analysis of randomized clinical trials. Statistical inference in this context typically relies…

Methodology · Statistics 2025-03-18 Xin Zhang , Haitao Chu , Lin Liu , Satrajit Roychoudhury

LLM deployment in critical domains is currently impeded by persistent hallucinations--generating plausible but factually incorrect assertions. While scaling laws drove significant improvements in general capabilities, theoretical frameworks…

Machine Learning · Computer Science 2026-01-29 Jiayun Wu , Jiashuo Liu , Zhiyuan Zeng , Tianyang Zhan , Tianle Cai , Wenhao Huang

The design and implementation of unit tests is a complex task many programmers neglect. This research evaluates the potential of Large Language Models (LLMs) in automatically generating test cases, comparing them with manual tests. An…

Software Engineering · Computer Science 2025-05-16 Martín Rodríguez , Gustavo Rossi , Alejandro Fernandez

Randomized experiments or randomized controlled trials (RCTs) are gold standards for causal inference, yet cost and sample-size constraints limit power. We introduce CALM (Causal Analysis leveraging Language Models), a statistical framework…

Methodology · Statistics 2025-12-09 Xinrui Ruan , Xinwei Ma , Yingfei Wang , Waverly Wei , Jingshen Wang

Multi-parameter one-sided hypothesis test problems arise naturally in many applications. We are particularly interested in effective tests for monitoring multiple quality indices in forestry products. Our search reveals that there are many…

Statistics Theory · Mathematics 2017-03-16 Guangyu Zhu , Jiahua Chen

Identifying the most powerful test in multiple hypothesis testing under strong family-wise error rate (FWER) control is a fundamental problem in statistical methodology. State-of-the-art approaches formulate this as a constrained…

Methodology · Statistics 2025-12-17 Prasanjit Dubey , Xiaoming Huo

Empirical phi-divergence test-statistics have demostrated to be a useful technique for the simple null hypothesis to improve the finite sample behaviour of the classical likelihood ratio test-statistic, as well asfor model misspecification…

Methodology · Statistics 2016-01-15 Narayanaswamy Balakrishnan , Nirian Martin , Leandro Pardo

To assess whether there is some signal in a big database, aggregate tests for the global null hypothesis of no effect are routinely applied in practice before more specialized analysis is carried out. Although a plethora of aggregate tests…

Statistics Theory · Mathematics 2024-05-08 Anders Bredahl Kock , David Preinerstorfer

To help evaluate and understand the latent capabilities of language models, this paper introduces an approach using optimized input embeddings, or 'soft prompts,' as a metric of conditional distance between a model and a target behavior.…

Machine Learning · Computer Science 2025-05-22 Ross Nordby

Mixed-effects logistic regression is widely used for binary outcomes in hierarchical data, yet formal goodness-of-fit tests remain limited to random-intercept models and do not address sparse cluster settings. We extend a grouping-based…

Methodology · Statistics 2026-04-22 Ariel Linden

In testing of hypothesis the robustness of the tests is an important concern. Generally, the maximum likelihood based tests are most efficient under standard regularity conditions, but they are highly non-robust even under small deviations…

Methodology · Statistics 2018-05-01 Ayanendranath Basu , Abhijit Mandal , Nirian Martin , Leandro Pardo

Generalized linear mixed models (GLMMs) are used to model responses from exponential families with a combination of fixed and random effects. For variance components in GLMMs, we propose an approximate restricted likelihood ratio test that…

Methodology · Statistics 2019-06-11 Stephanie T. Chen , Luo Xiao , Ana-Maria Staicu

We derive a new class of statistical tests for generalized linear models based on thresholding point estimators. These tests can be employed whether the model includes more parameters than observations or not. For linear models, our tests…

Methodology · Statistics 2018-03-14 Sylvain Sardy , Caroline Giacobino , Jairo Diaz-Rodriguez

A new approach to adaptive design of clinical trials is proposed in a general multiparameter exponential family setting, based on generalized likelihood ratio statistics and optimal sequential testing theory. These designs are easy to…

Statistics Theory · Mathematics 2011-05-25 Jay Bartroff , Tze Leung Lai