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The sequential multiple assignment randomized trial (SMART) is the gold standard trial design to generate data for the evaluation of multi-stage treatment regimes. As with conventional (single-stage) randomized clinical trials, interim…

Methodology · Statistics 2023-09-13 Cole Manschot , Eric Laber , Marie Davidian

The estimation of cumulative distribution functions (CDF) is an important learning task with a great variety of downstream applications, such as risk assessments in predictions and decision making. In this paper, we study functional…

Machine Learning · Computer Science 2024-03-11 Qian Zhang , Anuran Makur , Kamyar Azizzadenesheli

Estimands using the treatment policy strategy for addressing intercurrent events are common in Phase III clinical trials. One estimation approach for this strategy is retrieved dropout whereby observed data following an intercurrent event…

Hyperbolic balance laws with uncertain (random) parameters and inputs are ubiquitous in science and engineering. Quantification of uncertainty in predictions derived from such laws, and reduction of predictive uncertainty via data…

Statistics Theory · Mathematics 2021-04-28 Francesca Boso , Daniel M. Tartakovsky

Probing signal injection is a well-established technique to extract additional information from a weakly (or non) observable dynamical system. Using averaging theory, a framework to analyse such schemes for general nonlinear systems has…

Systems and Control · Computer Science 2019-11-20 Bowen Yi , Romeo Ortega , Houria Siguerdidjane , Juan E. Machado , Weidong Zhang

So far, problems of intermittent fault (IF) detection and detectability have not been fully investigated in the multivariate statistics framework. The characteristics of IFs are small magnitudes and short durations, and consequently…

Systems and Control · Electrical Eng. & Systems 2020-08-10 Yinghong Zhao , Xiao He , Michael G. Pecht , Junfeng Zhang , Donghua Zhou

This paper is concerned with combined inference for point processes on the real line observed in a broken interval. For such processes, the classic history-based approach cannot be used. Instead, we adapt tools from sequential spatial point…

Methodology · Statistics 2015-06-04 M. N. M. van Lieshout

In the Monte Carlo (MC) method statistical noise is usually present. Statistical noise may become dominant in the calculation of a distribution, usually by iteration, but is less Important in calculating integrals. The subject of the…

Computational Physics · Physics 2013-11-08 Mihály Makai , Zoltán Szatmáry

State-of-the-art distributed stream processing systems such as Apache Flink and Storm have recently included checkpointing to provide fault-tolerance for stateful applications. This is a necessary eventuality as these systems head into the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-21 Sachini Jayasekara , Aaron Harwood , Shanika Karunasekera

Many modern products exhibit high reliability under normal operating conditions. Conducting life tests under these conditions may result in very few observed failures, insufficient for accurate inferences. Instead, accelerated life tests…

Applications · Statistics 2024-09-25 Narayanaswamy Balakrishnan , María Jaenada , Leandro Pardo

This paper introduces a family of recursively defined estimators of the parameters of a diffusion process. We use ideas of stochastic algorithms for the construction of the estimators. Asymptotic consistency of these estimators and…

Statistics Theory · Mathematics 2016-08-16 Jaime A. Londoño

The continuous time random walk model plays an important role in modeling of so called anomalous diffusion behaviour. One of the specific property of such model are constant time periods visible in trajectory. In the continuous time random…

Data Analysis, Statistics and Probability · Physics 2017-01-04 Rafał Połoczański , Agnieszka Wyłomańska , Janusz Gajda , Monika Maciejewska , Andrzej Szczurek

Instrumental variable (IV) regression can be approached through its formulation in terms of conditional moment restrictions (CMR). Building on variants of the generalized method of moments, most CMR estimators are implicitly based on…

Machine Learning · Computer Science 2024-05-21 Heiner Kremer , Bernhard Schölkopf

Benchmarking studies in computational chemistry use reference datasets to assess the accuracy of a method through error statistics. The commonly used error statistics, such as the mean signed and mean unsigned errors, do not inform…

Chemical Physics · Physics 2018-03-19 Pascal Pernot , Andreas Savin

We use backward error analysis for differential equations to obtain modified or distorted equations describing the behaviour of the Newmark scheme applied to the transient structural dynamics equation. Based on the newly derived distorted…

Numerical Analysis · Mathematics 2024-11-12 Donát M. Takács , Tamás Fülöp

Following the theory of information measures based on the cumulative distribution function, we propose the fractional generalized cumulative entropy, and its dynamic version. These entropies are particularly suitable to deal with…

Probability · Mathematics 2021-06-30 Antonio Di Crescenzo , Suchandan Kayal , Alessandra Meoli

In this paper we consider the issue of reliability of measurements in distributed adaptive estimation problem. To this aim, we assume a sensor network with different observation noise variance among the sensors and propose new estimation…

Systems and Control · Computer Science 2015-07-27 Wael M. Bazzi , Amir Rastegarnia , Azam Khalili

A distributed estimation scheme where the sensors transmit with constant modulus signals over a multiple access channel is considered. The proposed estimator is shown to be strongly consistent for any sensing noise distribution in the…

Information Theory · Computer Science 2015-05-14 Cihan Tepedelenlioglu , Adarsh B. Narasimhamurthy

Evaluating the performance of a prediction model is a common task in medical statistics. Standard accuracy metrics require the observation of the true outcomes. This is typically not possible in the setting with time-to-event outcomes due…

Methodology · Statistics 2025-07-18 Zhenwei Yang , Dimitris Rizopoulos , Lisa F. Newcomb , Nicole S. Erler

This paper develops an incremental learning algorithm based on quadratic inference function (QIF) to analyze streaming datasets with correlated outcomes such as longitudinal data and clustered data. We propose a renewable QIF (RenewQIF)…

Methodology · Statistics 2021-07-01 Lan Luo , Ling Zhou , Peter X. -K. Song