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This paper considers binomial approximation of continuous time stochastic processes. It is shown that, under some mild integrability conditions, a process can be approximated in mean square sense and in other strong metrics by binomial…

计算金融 · 定量金融 2015-02-09 Nikolai Dokuchaev

The statistical machine learning community has demonstrated considerable resourcefulness over the years in developing highly expressive tools for estimation, prediction, and inference. The bedrock assumptions underlying these developments…

统计方法学 · 统计学 2022-02-10 Alnur Ali , Maxime Cauchois , John C. Duchi

This article develops a periodic version of a time varying parameter fractional process in the stationary region. It is a partial extension of Hosking (1981)'s article which dealt with the case where the coefficients are invariant in time.…

统计理论 · 数学 2020-08-06 Amine Amimour , Karima Belaide

Identifying and quantifying memory are often critical steps in developing a mechanistic understanding of stochastic processes. These are particularly challenging and necessary when exploring processes that exhibit long-range correlations.…

统计力学 · 物理学 2016-04-20 Sarah E. Marzen , James P. Crutchfield

Modern scientific computational methods are undergoing a transformative change; big data and statistical learning methods now have the potential to outperform the classical first-principles modeling paradigm. This book bridges this…

数据分析、统计与概率 · 物理学 2018-03-22 John Harlim

This is an erratum to our paper.

量子物理 · 物理学 2011-01-28 Zhao Liu , Heng Fan

We present a time-domain method to detect and correct spectral alterations of signals by employing statistical characterization of waveforms and a pattern-recognition procedure using simple Artificial Neural Networks. The proposed strategy…

信号处理 · 电气工程与系统科学 2022-12-29 Guillermo H. Bustos , Héctor H. Segnorile

Real world evolves in continuous time but computations are done from finite samples. Therefore, we study algorithms using finite observations in continuous-time linear dynamical systems. We first study the system identification problem, and…

系统与控制 · 电气工程与系统科学 2025-09-30 Hongyi Zhou , Jingwei Li , Jingzhao Zhang

Statistical inference for discrete time observations of an affine stochastic delay differential equation is considered. The main focus is on maximum pseudo-likelihood estimators, which are easy to calculate in practice. A more general class…

统计理论 · 数学 2013-03-21 Uwe Küchler , Michael Sørensen

Conformance checking techniques allow us to quantify the correspondence of a process's execution, captured in event data, w.r.t., a reference process model. In this context, alignments have proven to be useful for calculating conformance…

Despite the risk of misspecification they are tied to, parametric models continue to be used in statistical practice because they are accessible to all. In particular, efficient estimation procedures in parametric models are simple to…

统计理论 · 数学 2016-09-01 Marco Carone , Alexander R. Luedtke , Mark J. van der Laan

Using mathematical models to assist in the interpretation of experiments is becoming increasingly important in research across applied mathematics, and in particular in biology and ecology. In this context, accurate parameter estimation is…

统计理论 · 数学 2025-04-29 Jie Qi , Ruth E. Baker

We revisit the non-preemptive speed-scaling problem, in which a set of jobs have to be executed on a single or a set of parallel speed-scalable processor(s) between their release dates and deadlines so that the energy consumption to be…

数据结构与算法 · 计算机科学 2014-07-30 Evripidis Bampis , Dimitrios Letsios , Giorgio Lucarelli

We study dynamical reversibility in stationary stochastic processes from an information theoretic perspective. Extending earlier work on the reversibility of Markov chains, we focus on finitary processes with arbitrarily long conditional…

An analytical method is advanced for constructing interpolation formulae for complicated problems of statistical mechanics, in which just a few terms of asymptotic expansions are available. The method is based on the self-similar…

凝聚态物理 · 物理学 2009-10-31 V. I. Yukalov , S. Gluzman

We can, and should, do statistical inference on simulation models by adjusting the parameters in the simulation so that the values of {\em randomly chosen} functions of the simulation output match the values of those same functions…

统计方法学 · 统计学 2021-11-18 Cosma Rohilla Shalizi

On-line estimation plays an important role in process control and monitoring. Obtaining a theoretical solution to the simultaneous state-parameter estimation problem for non-linear stochastic systems involves solving complex…

统计计算 · 统计学 2013-07-15 Aditya Tulsyan , Biao Huang , R. Bhushan Gopaluni , J. Fraser Forbes

We explain and correct a mistake in Section 2.6 and Appendix C of the first and second author's paper "Representation Growth and Rational Singularities of the Moduli Space of Local Systems" arXiv:1307.0371.

代数几何 · 数学 2022-04-12 Avraham Aizenbud , Nir Avni , Roberto Rubio

Brent and McMillan introduced in 1980 a new algorithm for the computation of Euler's constant $\gamma$, based on the use of the Bessel functions I\_0(x) and K\_0(x). It is the fastest known algorithm for the computation of $\gamma$. The…

经典分析与常微分方程 · 数学 2017-12-12 Jean-Pierre Demailly

Unfortunately, the article "A Comparative Study to Benchmark Cross-project Defect Prediction Approaches" has a problem in the statistical analysis which was pointed out almost immediately after the pre-print of the article appeared online.…

软件工程 · 计算机科学 2017-07-31 Steffen Herbold , Alexander Trautsch , Jens Grabowski