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Related papers: On the Monotonicity of Information Aging

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This paper discusses the problem of estimating a stochastic signal from nonlinear uncertain observations with time-correlated additive noise described by a first-order Markov process. Random deception attacks are assumed to be launched by…

Signal Processing · Electrical Eng. & Systems 2024-05-09 R. Caballero-Águila , J. Hu , J. Linares-Pérez

Information theory provides ideas for conceptualising information and measuring relationships between objects. It has found wide application in the sciences, but economics and finance have made surprisingly little use of it. We show that…

Statistical Finance · Quantitative Finance 2013-05-02 Galen Sher , Pedro Vitoria

Timely information updates are critical to time-sensitive applications in networked monitoring and control systems. In this paper, the problem of real-time status update is considered for a cognitive radio network (CRN), in which the…

Networking and Internet Architecture · Computer Science 2020-01-29 Yao Zhao , Bo Zhou , Walid Saad , Xiliang Luo

We introduce the minimal maximally predictive models ({\epsilon}-machines) of processes generated by certain hidden semi-Markov models. Their causal states are either hybrid discrete-continuous or continuous random variables and…

Statistical Mechanics · Physics 2017-05-24 Sarah E. Marzen , James P. Crutchfield

Age of Information (AoI) is a newly appeared concept and metric to characterize the freshness of data. In this work, we study the delay and AoI in a multiple access channel (MAC) with two source nodes transmitting different types of data to…

Information Theory · Computer Science 2019-03-13 Zheng Chen , Nikolaos Pappas , Emil Björnson , Erik G. Larsson

Brownian motion whose infinitesimal variance changes according to a three-state continuous time Markov Chain is studied. This Markov Chain can be viewed as a telegraph process with one on state and two off states. We first derive the…

Methodology · Statistics 2020-08-25 Vladimir Pozdnyakov , L. Mark Elbroch , Chaoran Hu , Thomas Meyer , Jun Yan

Age of Information (AoI) has become an important concept in communications, as it allows system designers to measure the freshness of the information available to remote monitoring or control processes. However, its definition tacitly…

There is a lack of methodological results for continuous time change detection due to the challenges of noninformative prior specification and efficient posterior inference in this setting. Most methodologies to date assume data are…

Methodology · Statistics 2025-04-28 Dan Cunha , Mark Friedl , Luis Carvalho

With the rapid development of Internet of Things (IoT), massive devices are deployed, which poses severe challenges on access networks due to limited communication resources. When massive users contend for access, the information freshness…

Information Theory · Computer Science 2022-07-12 Dongliang Zhang , Jie Gong , Xiang Chen

There is a surge of need for fresh information with the overwhelming proliferation of the Internet of Things (IoT) applications. To characterize the information freshness perceived by the destination, the age of information (AoI) has been…

Information Theory · Computer Science 2026-05-21 Xijun Wang , Shuying Gan , Yanzhi Huang , Xiaoyu Zhao , Chao Xu , Xiang Chen

Age-of-information (AoI) is a newly proposed performance metric of information freshness. It differs from the traditional delay metric, because it is destination centric and measures the time that elapsed since the last received fresh…

Networking and Internet Architecture · Computer Science 2019-01-15 Rajat Talak , Sertac Karaman , Eytan Modiano

Missing data is an universal problem in statistics. We develop a unified framework for estimating parameters defined by general estimating equations under a missing-at-random (MAR) mechanism, based on generalized entropy calibration…

Methodology · Statistics 2026-03-31 Mst Moushumi Pervin , Hengfang Wang , Jae Kwang Kim

We study the so-called two-time-scale stochastic approximation, a simulation-based approach for finding the roots of two coupled nonlinear operators. Our focus is to characterize its finite-time performance in a Markov setting, which often…

Optimization and Control · Mathematics 2021-04-06 Thinh T. Doan

In this work, a wireless broadcast network with a base station (BS) sending random time-sensitive information updates to multiple users with interference constraints is considered. The Age of Synchronization (AoS), namely the amount of time…

Information Theory · Computer Science 2020-03-06 Haoyue Tang , Jintao Wang , Zihan Tang , Jian Song

We use the $f-divergence$ also called relative entropy as a measure of diversity between probability densities and review its basic properties. In the sequence we define a few objects which capture relevant information from the sample of a…

Statistics Theory · Mathematics 2012-06-20 A. R. Baigorri , C. R. Goncalves , P. A. A. Resende

Age of Information is a measure of the freshness of status updates in monitoring applications and update-based systems. We study a real-time remote sensing scenario with a sensor which is restricted by time-varying energy constraints and…

Information Theory · Computer Science 2017-02-07 Baran Tan Bacinoglu , Elif Uysal-Biyikoglu

In this work, we study the real-time tracking and reconstruction of an information source with the purpose of actuation. A device monitors the state of the information source and transmits status updates to a receiver over a wireless…

Information Theory · Computer Science 2023-02-28 Mehrdad Salimnejad , Marios Kountouris , Nikolaos Pappas

This study considers a wireless network where multiple nodes transmit status updates to a base station (BS) via a shared, error-free channel with limited bandwidth. The status updates arrive at each node randomly. We use the Age of…

Information Theory · Computer Science 2025-03-14 Yuqiao He , Yuchao Chen , Jintao Wang , Jian Song

In this paper we analyze the distribution of the Age of Information (AoI) of a tagged data stream sharing a processor with a set of other data streams. We do so in the highly general setting in which the interarrival times pertaining to the…

Networking and Internet Architecture · Computer Science 2025-02-20 Yoshiaki Inoue , Michel Mandjes

Regression analysis under the assumption of monotonicity is a well-studied statistical problem and has been used in a wide range of applications. However, there remains a lack of a broadly applicable methodology that permits information…

Methodology · Statistics 2023-05-30 Christian Rohrbeck , Deborah A Costain
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