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The paper introduces a Bayesian estimation method for quantile regression in univariate ordinal models. Two algorithms are presented that utilize the latent variable inferential framework of Albert and Chib (1993) and the normal-exponential…

统计方法学 · 统计学 2022-09-30 Mohammad Arshad Rahman

There is no, nor will there ever be, single best clustering algorithm. Nevertheless, we would still like to be able to distinguish between methods that work well on certain task types and those that systematically underperform. Clustering…

机器学习 · 计算机科学 2025-10-16 Marek Gagolewski

Statistical analysis of max-stable processes used to model spatial extremes has been limited by the difficulty in calculating the joint likelihood function. This precludes all standard likelihood-based approaches, including Bayesian…

统计计算 · 统计学 2011-12-14 Robert J. Erhardt , Richard L. Smith

In Bayesian inference, making deductions about a parameter of interest requires one to sample from or compute an integral against a posterior distribution. A popular method to make these computations cheaper in high-dimensional settings is…

统计理论 · 数学 2024-06-10 Anya Katsevich

Bayesian estimation of a mixed quantum state can be approximated via maximum likelihood (MaxLike) estimation when the likelihood function is sharp around its maximum. Such approximations rely on asymptotic expansions of multi-dimensional…

量子物理 · 物理学 2016-07-05 Pierre Six , Pierre Rouchon

Large-scale multiple testing problems require the simultaneous assessment of many p-values. This paper compares several methods to assess the evidence in multiple binomial counts of p-values: the maximum of the binomial counts after…

统计方法学 · 统计学 2014-02-26 Guenther Walther

We propose a new analysis framework for clustering $M$ items into an unknown number of $K$ distinct groups using noisy and actively collected responses. At each time step, an agent is allowed to query pairs of items and observe bandit…

机器学习 · 计算机科学 2026-02-06 Rachel S. Y. Teo , P. N. Karthik , Ramya Korlakai Vinayak , Vincent Y. F. Tan

The categorical Gini correlation, $\rho_g$, was proposed by Dang et al. to measure the dependence between a categorical variable, $Y$ , and a numerical variable, $X$. It has been shown that $\rho_g$ has more appealing properties than…

统计方法学 · 统计学 2023-10-17 Sameera Hewage , Yongli Sang

Bayesian inference allows machine learning models to express uncertainty. Current machine learning models use only a single learnable parameter combination when making predictions, and as a result are highly overconfident when their…

机器学习 · 计算机科学 2022-02-23 Andrew Wood , Moshik Hershcovitch , Daniel Waddington , Sarel Cohen , Peter Chin

Accurately quantifying tail risks-rare but high-impact events such as financial crashes or extreme weather-is a central challenge in risk management, with serially dependent data. We develop a Bayesian framework based on the Generalized…

统计方法学 · 统计学 2025-10-17 David L. Carl , Simone A. Padoan , Stefano Rizzelli

We present asymptotic results for the regression-adjusted version of approximate Bayesian computation introduced by Beaumont(2002). We show that for an appropriate choice of the bandwidth, regression adjustment will lead to a posterior…

统计理论 · 数学 2017-11-29 Wentao Li , Paul Fearnhead

In studies of exoplanet atmospheres using transmission spectroscopy, Bayesian retrievals are the most popular form of analysis. In these procedures it is common to adopt a Gaussian likelihood. However, this implicitly assumes that the upper…

地球与行星天体物理 · 物理学 2025-07-28 Jack J. Davey , Kai Hou Yip , Quentin Changeat , Ingo P. Waldmann

Calibrating stochastic radio channel models to new measurement data is challenging when the likelihood function is intractable. The standard approach to this problem involves sophisticated algorithms for extraction and clustering of…

信号处理 · 电气工程与系统科学 2021-05-07 Ayush Bharti , Francois-Xavier Briol , Troels Pedersen

Standard blockwise empirical likelihood (BEL) for stationary, weakly dependent time series requires specifying a fixed block length as a tuning parameter for setting confidence regions. This aspect can be difficult and impacts coverage…

统计理论 · 数学 2014-01-07 Daniel J. Nordman , Helle Bunzel , Soumendra N. Lahiri

Clustering procedures typically estimate which data points are clustered together, a quantity of primary importance in many analyses. Often used as a preliminary step for dimensionality reduction or to facilitate interpretation, finding…

统计方法学 · 统计学 2017-12-06 Ryan Giordano , Runjing Liu , Nelle Varoquaux , Michael I. Jordan , Tamara Broderick

In large-scale epidemiological studies, statistical inference is often complicated by high-dimensional covariates under stratified sampling designs for failure times. Variable selection methods developed for full cohort data do not extend…

统计方法学 · 统计学 2025-07-22 Ying Chen , Chuan-Fa Tang , Sy Han Chiou , Min Chen

Like mean, quantile and variance, mode is also an important measure of central tendency and data summary. Many practical questions often focus on "Which element (gene or file or signal) occurs most often or is the most typical among all…

统计方法学 · 统计学 2012-08-03 Keming Yu , Katerina Aristodemou

Analysis of competing risks data plays an important role in the lifetime data analysis. Recently Feizjavadian and Hashemi (Computational Statistics and Data Analysis, vol. 82, 19-34, 2015) provided a classical inference of a competing risks…

统计方法学 · 统计学 2021-05-04 Debashis Samanta , Debasis Kundu

The widespread use of maximum Jeffreys'-prior penalized likelihood in binomial-response generalized linear models, and in logistic regression, in particular, are supported by the results of Kosmidis and Firth (2021, Biometrika), who show…

统计方法学 · 统计学 2024-06-10 Patrick Zietkiewicz , Ioannis Kosmidis

Censored quantile regression has emerged as a prominent alternative to classical Cox's proportional hazards model or accelerated failure time model in both theoretical and applied statistics. While quantile regression has been extensively…

统计方法学 · 统计学 2024-08-27 Taehwa Choi , Seohyeon Park , Hunyong Cho , Sangbum Choi