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This paper describes a framework for flexible multiple hypothesis testing of autoregressive time series. The modeling approach is Bayesian, though a blend of frequentist and Bayesian reasoning is used to evaluate procedures. Nonparametric…

Applications · Statistics 2010-09-30 James G. Scott

Large-scale multiple testing under static factor models is widely used to detect sparse signals in high-dimensional data. However, static factor models are arguably too stringent because they ignore serial correlation, which seriously…

Statistics Theory · Mathematics 2025-04-04 Xinxin Yang , Lilun Du

Two new test statistics are introduced to test the null hypotheses that the sampling distribution has an increasing hazard rate on a specified interval [0,a]. These statistics are empirical L_1-type distances between the isotonic estimates,…

Statistics Theory · Mathematics 2015-03-17 Piet Groeneboom , Geurt Jongbloed

We consider the problem of testing for long-range dependence in time-varying coefficient regression models, where the covariates and errors are locally stationary, allowing complex temporal dynamics and heteroscedasticity. We develop KPSS,…

Statistics Theory · Mathematics 2023-03-10 Lujia Bai , Weichi Wu

Standard inference about a scalar parameter estimated via GMM amounts to applying a t-test to a particular set of observations. If the number of observations is not very large, then moderately heavy tails can lead to poor behavior of the…

Econometrics · Economics 2020-07-15 Ulrich K. Mueller

The local volatility model is a widely used for pricing and hedging financial derivatives. While its main appeal is its capability of reproducing any given surface of observed option prices---it provides a perfect fit---the essential…

Computational Finance · Quantitative Finance 2019-01-24 Martin Tegnér , Stephen Roberts

The aim of this paper it to establish sufficient conditions for consistency of moving block bootstrap for non-stationary time series with periodic and almost periodic structure. The parameter of the study is the mean value of the…

Statistics Theory · Mathematics 2011-11-10 Rafal Synowiecki

This review discusses methods of testing for explosive bubbles in time series. A large number of recently developed testing methods under various assumptions about innovation of errors are covered. The review also considers the methods for…

Econometrics · Economics 2022-07-19 Anton Skrobotov

We investigate the possible drawbacks of employing the standard Pearson estimator to measure correlation coefficients between financial stocks in the presence of non-stationary behavior, and we provide empirical evidence against the…

Statistical Finance · Quantitative Finance 2012-07-27 Giacomo Livan , Jun-ichi Inoue , Enrico Scalas

We propose a bootstrap-based test to detect a mean shift in a sequence of high-dimensional observations with unknown time-varying heteroscedasticity. The proposed test builds on the U-statistic based approach in Wang et al. (2022), targets…

Methodology · Statistics 2023-11-17 Teng Wu , Stanislav Volgushev , Xiaofeng Shao

We introduce time-inhomogeneous stochastic volatility models, in which the volatility is described by a nonnegative function of a Volterra type continuous Gaussian process that may have very rough sample paths. The main results obtained in…

Probability · Mathematics 2021-01-01 Archil Gulisashvili

Identifying the instances of jumps in a discrete-time-series sample of a jump diffusion model is a challenging task. We have developed a novel statistical technique for jump detection and volatility estimation in a return time series data…

Statistical Finance · Quantitative Finance 2022-03-22 Milan Kumar Das , Anindya Goswami , Sharan Rajani

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. In the absence of spin-orbit scattering, the conductivity shows universal weak localization correction. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Takeshi Nakanishi , Tomi Ohtsuki

A massive dataset often consists of a growing number of (potentially) heterogeneous sub-populations. This paper is concerned about testing various forms of heterogeneity arising from massive data. In a general nonparametric framework, a set…

Statistics Theory · Mathematics 2016-01-26 Junwei Lu , Guang Cheng , Han Liu

Symmetry plays a central role in the sciences, machine learning, and statistics. For situations in which data are known to obey a symmetry, a multitude of methods that exploit symmetry have been developed. Statistical tests for the presence…

Methodology · Statistics 2024-12-24 Kenny Chiu , Benjamin Bloem-Reddy

In this paper we extend the known methodology for fitting stable distributions to the multivariate case and apply the suggested method to the modelling of daily cryptocurrency-return data. The investigated time period is cut into 10…

Applications · Statistics 2018-10-24 Szabolcs Majoros , András Zempléni

We consider two kinds of stochastic volatility models. Both kinds of models contain a stationary volatility process, the density of which, at a fixed instant in time, we aim to estimate. We discuss discrete time models where for instance a…

Statistics Theory · Mathematics 2014-07-15 Bert van Es , Peter Spreij , Harry van Zanten

The Kolmogorov--Smirnov (KS) test is a widely used statistical test that assesses the conformity of a sample to a specified distribution. Its efficacy, however, diminishes with serially dependent data and when parameters within the…

Methodology · Statistics 2025-11-11 Mathew Chandy , Elizabeth Schifano , Jun Yan , Xianyang Zhang

China's stock market is the largest emerging market all over the world. It is widely accepted that the Chinese stock market is far from efficiency and it possesses possible linear and nonlinear dependence. We study the predictability of…

Statistical Finance · Quantitative Finance 2017-02-08 Huai-Long Shi , Zhi-Qiang Jiang , Wei-Xing Zhou

We present a new fitting technique based on the parametric bootstrap method, which relies on the idea to produce artificial measurements using the estimated probability distribution of the experimental data. In order to investigate the main…

Data Analysis, Statistics and Probability · Physics 2020-03-18 Paolo Pedroni , Stefano Sconfietti
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