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We consider a problem of replication of random vectors by ordinary integrals in the setting when a underlying random variable is generated by a Wiener process. The goal is to find an optimal adapted process such that its cumulative integral…

Optimization and Control · Mathematics 2012-08-09 Nikolai Dokuchaev

We study remote estimation in a wireless sensor network. Instead of using a conventional battery-powered sensor, a sensor equipped with an energy harvester which can obtain energy from the external environment is utilized. We formulate this…

Optimization and Control · Mathematics 2014-02-25 Yuzhe Li , Daniel E. Quevedo , Vincent Lau , Subhrakanti Dey , Ling Shi

This paper investigates the age of information (AoI) for a radio frequency (RF) energy harvesting (EH) enabled network, where a sensor first scavenges energy from a wireless power station and then transmits the collected status update to a…

Information Theory · Computer Science 2019-01-29 Yang Lu , Ke Xiong , Pingyi Fan , Zhangdui Zhong , Khaled Ben Letaief

We consider the problem of decentralized estimation using wireless sensor networks. Specifically, we propose a novel framework based on level-triggered sampling, a non-uniform sampling strategy, and sequential estimation. The proposed…

Applications · Statistics 2013-09-24 Yasin Yilmaz , Xiaodong Wang

This paper considers a sequential estimation and sensor scheduling problem with one sensor and one estimator. The sensor makes sequential observations about the state of an underlying memoryless stochastic process, and makes a decision as…

Systems and Control · Computer Science 2016-11-17 Xiaobin Gao , Emrah Akyol , Tamer Basar

Network sampling is used around the world for surveys of vulnerable, hard-to-reach populations including people at risk for HIV, opioid misuse, and emerging epidemics. The sampling methods include tracing social links to add new people to…

Methodology · Statistics 2020-02-05 Steve Thompson

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

Multiagent Systems · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

For many probability distributions of interest, it is quite difficult to obtain samples efficiently. Often, Markov chains are employed to obtain approximately random samples from these distributions. The primary drawback to traditional…

Probability · Mathematics 2007-05-23 James Allen Fill , Mark L. Huber

Sequential estimation of a vector of linear regression coefficients is considered under both centralized and decentralized setups. In sequential estimation, the number of observations used for estimation is determined by the observed…

Applications · Statistics 2014-12-18 Yasin Yilmaz , George V. Moustakides , Xiaodong Wang

Consider a network where a wireless base station (BS) connects multiple source-destination pairs. Packets from each source are generated according to a renewal process and are enqueued in a single-packet queue that stores only the freshest…

Networking and Internet Architecture · Computer Science 2025-01-14 Zhuoyi Zhao , Igor Kadota

The problem of sequential anomaly detection is considered, where multiple data sources are monitored in real time and the goal is to identify the "anomalous" ones among them, when it is not possible to sample all sources at all times. A…

Statistics Theory · Mathematics 2022-05-23 Aristomenis Tsopelakos , Georgios Fellouris

We consider a slotted wireless network in an infrastructure setup with a base station (or an access point) and N users. The wireless channel gain between the base station and the users is assumed to be i.i.d., and the base station seeks to…

Information Theory · Computer Science 2013-08-01 Venkatesh Ramaiyan

Slice sampling is a well-established Markov chain Monte Carlo method for (approximate) sampling of target distributions which are only known up to a normalizing constant. The method is based on choosing a new state on a slice, i.e., a…

Computation · Statistics 2025-12-22 Kevin Bitterlich , Daniel Rudolf , Björn Sprungk

Given a Wiener process with unknown and unobservable drift, we try to estimate this drift as effectively but also as quickly as possible, in the presence of a quadratic penalty for the estimation error and of a fixed, positive cost per unit…

Statistics Theory · Mathematics 2019-05-24 Erik Ekström , Ioannis Karatzas , Juozas Vaicenavicius

In a wireless system with Intelligent Reflective Surfaces (IRS) containing many passive elements, we consider the problem of channel estimation. All the links from the transmitter to the receiver via each IRS elements (or groups) are…

Signal Processing · Electrical Eng. & Systems 2019-11-25 Tobias Lindstrøm Jensen , Elisabeth De Carvalho

We consider a source monitoring a stochastic process with a transmitter to transmit timely information through a wireless ON/OFF channel to a destination. We assume that once the source samples the data, the sampled data has to be processed…

Information Theory · Computer Science 2023-06-27 Jayanth S , Nikolaos Pappas , Rajshekhar V Bhat

Age of Information (AoI) has been recognized as an important metric to measure the freshness of information. Central to this consensus is that minimizing AoI can enhance the freshness of information, thereby facilitating the accuracy of…

Information Theory · Computer Science 2024-08-09 Aimin Li , Shaohua Wu , Gary C. F. Lee , Xiaomeng Cheng , Sumei Sun

In this work, we study how to optimally manage the freshness of information updates sent from a source node to a destination via a channel. A proper metric for data freshness at the destination is the age-of-information, or simply age,…

Information Theory · Computer Science 2017-04-24 Yin Sun , Elif Uysal-Biyikoglu , Roy D. Yates , C. Emre Koksal , Ness B. Shroff

We consider a small extent sensor network for event detection, in which nodes take samples periodically and then contend over a {\em random access network} to transmit their measurement packets to the fusion center. We consider two…

Networking and Internet Architecture · Computer Science 2016-11-18 Premkumar Karumbu , Venkata K. Prasanthi M. , Anurag Kumar

A networked system often uses a shared communication network to transmit the measurements to a remotely located estimation center. Due to the limited bandwidth of the channel, a delay may appear while receiving the measurements. This delay…

Signal Processing · Electrical Eng. & Systems 2023-04-05 Ranjeet Kumar Tiwari , Shovan Bhaumik
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