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The Stratified Bootstrap Test (SBT) provides a nonparametric, resampling-based framework for assessing the stability of group-specific ranking patterns in multivariate survey or rating data. By repeatedly resampling observations and…

Methodology · Statistics 2025-12-18 Ehsan Mohammadi , Fanghua Chen , Yizhou Cai , Yun Yang , Ting Fung Ma , Lu Zhou

Natural and social multivariate systems are commonly studied through sets of simultaneous and time-spaced measurements of the observables that drive their dynamics, i.e., through sets of time series. Typically, this is done via hypothesis…

Statistical Finance · Quantitative Finance 2020-07-01 Riccardo Marcaccioli , Giacomo Livan

The latent class model is a powerful unsupervised clustering algorithm for categorical data. Many statistics exist to test the fit of the latent class model. However, traditional methods to evaluate those fit statistics are not always…

Methodology · Statistics 2018-01-30 Geert H. van Kollenburg , Joris Mulder , Jeroen K. Vermunt

In this paper we study goodness-of-fit testing of single-index models. The large sample behavior of certain score-type test statistics is investigated. As a by-product, we obtain asymptotically distribution-free maximin tests for a large…

Statistics Theory · Mathematics 2007-06-13 Winfried Stute , Li-Xing Zhu

Among the various models designed for dependent count data, integer-valued autoregressive (INAR) processes enjoy great popularity. Typically, statistical inference for INAR models uses asymptotic theory that relies on rather stringent…

Methodology · Statistics 2024-10-16 Maxime Faymonville , Carsten Jentsch , Christian H. Weiß

Meta-analysis combines pertinent information from existing studies to provide an overall estimate of population parameters/effect sizes, as well as to quantify and explain the differences between studies. However, testing the between-study…

Methodology · Statistics 2020-11-13 Han Du , Ge Jiang , Zijun Ke

Cross-validation assesses the predictive ability of a model, allowing one to rank models accordingly. Although the nonparametric bootstrap is almost always used to assess the variability of a parameter, it can be used as the basis for…

Applications · Statistics 2019-09-30 James Stephens Cavenaugh

We propose a nonparametric bootstrap procedure for two-phase stratified sampling without replacement. In this design, a weighted likelihood estimator is known to have smaller asymptotic variance than under the convenient assumption of…

Statistics Theory · Mathematics 2014-09-26 Takumi Saegusa

We study the problems of sequential nonparametric two-sample and independence testing. Sequential tests process data online and allow using observed data to decide whether to stop and reject the null hypothesis or to collect more data,…

Machine Learning · Statistics 2023-07-21 Aleksandr Podkopaev , Aaditya Ramdas

We present a general approach to constructing permutation tests that are both exact for the null hypothesis of equality of distributions and asymptotically correct for testing equality of parameters of distributions while allowing the…

Statistics Theory · Mathematics 2021-07-12 Colin B. Fogarty

We develop a systematic, omnibus approach to goodness-of-fit testing for parametric distributional models when the variable of interest is only partially observed due to censoring and/or truncation. In many such designs, tests based on the…

Methodology · Statistics 2026-02-10 Juan Carlos Escanciano , Jacobo de Uña-Álvarez

We consider the problem of sequential multiple hypothesis testing with nontrivial data collection costs. This problem appears, for example, when conducting biological experiments to identify differentially expressed genes of a disease…

Machine Learning · Computer Science 2023-11-06 Thomas Cook , Harsh Vardhan Dubey , Ji Ah Lee , Guangyu Zhu , Tingting Zhao , Patrick Flaherty

Modeling of the dependence structure across heterogeneous data is crucial for Bayesian inference since it directly impacts the borrowing of information. Despite the extensive advances over the last two decades, most available proposals…

Methodology · Statistics 2026-02-03 Filippo Ascolani , Beatrice Franzolini , Antonio Lijoi , Igor Prünster

The issue of model selection in applied research is of vital importance. Since the true model in such research is not known, which model should be used from among various potential ones is an empirical question. There might exist several…

Econometrics · Economics 2018-05-24 R. Scott Hacker , Abdulnasser Hatemi-J

This paper proposes new nonparametric diagnostic tools to assess the asymptotic validity of different treatment effects estimators that rely on the correct specification of the propensity score. We derive a particular restriction relating…

Methodology · Statistics 2019-02-11 Pedro H. C. Sant'Anna , Xiaojun Song

We suggest a new approach to hypothesis testing for ergodic and stationary processes. In contrast to standard methods, the suggested approach gives a possibility to make tests, based on any lossless data compression method even if the…

Information Theory · Computer Science 2007-07-13 Boris Ryabko , Jaakko Astola

This paper introduces a novel two-sample test for a broad class of orthogonally equivalent positive definite symmetric matrix distributions. Our test is the first of its kind and we derive its asymptotic distribution. To estimate the test…

Methodology · Statistics 2023-08-15 Žikica Lukić , Bojana Milošević

Graph-based tests are a class of non-parametric two-sample tests useful for analyzing high-dimensional data. The test statistics are constructed from similarity graphs (such as K-minimum spanning tree), and consequently, their performance…

Methodology · Statistics 2025-06-23 Yichuan Bai , Lynna Chu

The theory of acceptance sets and their associated risk measures plays a key role in the design of capital adequacy tests. The objective of this paper is to investigate, in the context of bounded financial positions, the class of…

Risk Management · Quantitative Finance 2014-02-05 Pablo Koch-Medina , Santiago Moreno-Bromberg , Cosimo Munari

Cross-validation is a widely used technique for evaluating the performance of prediction models, ranging from simple binary classification to complex precision medicine strategies. It helps correct for optimism bias in error estimates,…