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This paper considers a developing theory on the effects of inevitable process variations during the fabrication of MEMS and other microsystems. The effects on the performance and design yield of the microsystems devices are analyzed and…

Other Computer Science · Computer Science 2007-11-29 S. -P. Vudathu , K. -K. Duganapalli , Rainer Laur , D. Kubalinska , A. Bunse-Gerstner

This paper considers inference for conditional moment inequality models using a multiscale statistic. We derive the asymptotic distribution of this test statistic and use the result to propose feasible critical values that have a simple…

Applications · Statistics 2015-12-10 Timothy B. Armstrong , Hock Peng Chan

Mack's distribution-free chain ladder reserving model belongs to the most popular approaches in non-life insurance mathematics. Proposed to determine the first two moments of the reserve, it does not allow to identify the whole distribution…

Statistics Theory · Mathematics 2023-03-13 Julia Steinmetz , Carsten Jentsch

Predicting future operational risk losses gives rise to a significant challenge due to the heterogeneous and time-dependent structures present in real-world data. Furthermore, stress test exercises require examining the relationship with…

Risk Management · Quantitative Finance 2026-04-24 Nikeethan Selvaratnam , Dorinel Bastide , Clément Fernandes , Wojciech Pieczynski

We consider the issue of performing accurate small sample inference in beta autoregressive moving average model, which is useful for modeling and forecasting continuous variables that assumes values in the interval $(0,1)$. The inferences…

Computation · Statistics 2017-02-16 Bruna Gregory Palm , Fábio M. Bayer

We study an AMOC time series model with an abrupt change in the mean and dependent errors that fulfill certain mixing conditions. We obtain confidence intervals for the unknown change-point via bootstrapping methods. Precisely we use a…

Statistics Theory · Mathematics 2008-10-30 Marie Huskova , Claudia Kirch

Robins (1998) introduced marginal structural models (MSMs), a general class of counterfactual models for the joint effects of time-varying treatment regimes in complex longitudinal studies subject to time-varying confounding. He established…

Methodology · Statistics 2018-09-17 Eric J Tchetgen Tchetgen , Haben Michael , Yifan Cui

This paper considers the state estimation problem for discrete-time linear systems under event-triggered scheme. In order to improve performance, a novel event-triggered scheme based on confidence level is proposed using the chi-square…

Systems and Control · Electrical Eng. & Systems 2024-03-25 Wei Liu

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

The Epidemic Type Aftershock Sequence (ETAS) model is widely used to model seismic sequences and underpins Operational Earthquake Forecasting (OEF). However, it remains challenging to assess the reliability of inverted ETAS parameters for a…

Applications · Statistics 2022-12-16 Mark Naylor , Francesco Serafini , Finn Lindgren , Ian Main

Developing models and algorithms to predict nonstationary time series is a long standing statistical problem. It is crucial for many applications, in particular for fashion or retail industries, to make optimal inventory decisions and avoid…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Etienne David , Jean Bellot , Sylvain Le Corff

Max-value entropy search (MES) is one of the state-of-the-art approaches in Bayesian optimization (BO). In this paper, we propose a novel variant of MES for constrained problems, called Constrained MES via Information lower BOund…

Machine Learning · Computer Science 2023-02-21 Shion Takeno , Tomoyuki Tamura , Kazuki Shitara , Masayuki Karasuyama

We propose a new asymptotic test to assess the stationarity of a time series' mean that is applicable in the presence of both heteroscedasticity and short-range dependence. Our test statistic is composed of Gini's mean difference of local…

Statistics Theory · Mathematics 2021-08-23 Sara Kristin Schmidt

We propose a dynamical model for the estimation of Operational Risk in banking institutions. Operational Risk is the risk that a financial loss occurs as the result of failed processes. Examples of operational losses are the ones generated…

Risk Management · Quantitative Finance 2012-02-14 Marco Bardoscia , Roberto Bellotti

The conventional historical functional linear model relates the current value of the functional response at time t to all past values of the functional covariate up to time t. Motivated by situations where it is more reasonable to assume…

Methodology · Statistics 2019-05-29 Xiaolei Xun , Jiguo Cao

Medical time-series datasets have unique characteristics that make prediction tasks challenging. Most notably, patient trajectories often contain longitudinal variations in their input-output relationships, generally referred to as temporal…

Machine Learning · Computer Science 2021-02-24 Victor D. Bourgin , Ioana Bica , Mihaela van der Schaar

The Constant Elasticity of Variance (CEV) model is mathematically presented and then used in a Credit-Equity hybrid framework. Next, we propose extensions to the CEV model with default: firstly by adding a stochastic volatility diffusion…

Probability · Mathematics 2007-05-23 Marc Atlan , Boris Leblanc

The source code of Function as a Service (FaaS) applications is constantly being refined. To detect if a source code change introduces a significant performance regression, the traditional benchmarking approach evaluates both the old and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-08 Martin Grambow , Tim Dockenfuß , Trever Schirmer , Nils Japke , David Bermbach

Model updating of engineering systems inevitably involves handling both aleatory or inherent randomness and epistemic uncertainties or uncertainities arising from a lack of knowledge or information about the system. Addressing these…

Applications · Statistics 2025-05-27 Sangwon Lee , Taro Yaoyama , Masaru Kitahara , Tatsuya Itoi

Accurate statistical inference in logistic regression models remains a critical challenge when the ratio between the number of parameters and sample size is not negligible. This is because approximations based on either classical asymptotic…

Methodology · Statistics 2022-08-19 Qian Zhao , Emmanuel J. Candes