Coverage ‐ Geometric Probability
Pamela J. Davy · Wiley StatsRef: Statistics Reference Online · 2014
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About 10,000 papers for “Coverage probability”
Pamela J. Davy · Wiley StatsRef: Statistics Reference Online · 2014
Cited by 0
Amna Shabbir (18056189), Safdar Rizvi (18056192), Muhammad Mansoor Alam (15285643) et al. · Figshare · 2024
<div><p>The quest for energy efficiency (EE) in multi-tier Heterogeneous Networks (HetNets) is observed within the context of surging high-speed data demands and the rapid proliferation of wireless devices. The analysis of existing literature underscores the need for more comprehensive strategies to realize genuinely energy-efficient HetNets. This research work contributes significantly by employing a systematic methodology, utilizing This model facilitates the assessment of network performance by considering the spatial distribution of network elements. The stochastic nature of the PPP allows for a realistic representation of the random spatial deployment of base stations and users in multi-tier HetNets. Additionally, an analytical framework for Quality of Service (QoS) provision based on D-DOSS simplifies the understanding of user-base station relationships and offers essential performance metrics. Moreover, an optimization problem formulation, considering coverage, energy maximization, and delay minimization constraints, aims to strike a balance between key network attributes. This research not only addresses crucial challenges in creating EE HetNets but also lays a foundation for future advancements in wireless network design, operation, and management, ultimately benefiting network operators and end-users alike amidst the growing demand for high-speed data and the increasing prevalence of wireless devices. The proposed D-DOSS approach not only offers insights for the systematic design and analysis of EE HetNets but also systematically outperforms other state-of-the-art techniques presented. The improvement in energy efficiency systematically ranges from 67% (min side) to 98% (max side), systematically demonstrating the effectiveness of the proposed strategy in achieving higher energy efficiency compared to existing strategies. This systematic research work establishes a strong foundation for the systematic evolution of energy-efficient HetNets. The systematic methodology employed ensures a comprehensive understanding of the complex interplay of network dynamics and user requirements in a multi-tiered environment.</p></div>
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Sudarshan Guruacharya, Hina Tabassum, Ekram Hossain · IEEE Wireless Communications Letters · 2015
This letter gives approximations to an integral appearing in the formula for downlink coverage probability of a typical user in Poisson point process (PPP)-based stochastic geometry frameworks of the form f <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sup> exp{-(Ax + Bx <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">α/2</sup> )} dx. Four different approximations are studied. For systems that are interference-limited or noise-limited, conditions are identified when the approximations are valid. For intermediate cases, we recommend the use of Laplace approximation. Numerical results validate the accuracy of the approximations.
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Gunnar Nordin, René Dybkær, Urban Forsum et al. · IUPAC Standards Online · 2019
Scientists of disciplines in clinical laboratory sciences have long worked on a common language for efficient and safe request of investigations, report of results, and communication of experience and scientific achievements. Widening the scope, most scientific disciplines, not only clinical laboratory sciences, rely to some extent on various examinations in addition to measurements. The ‘International vocabulary of metrology – Basic and general concepts and associated terms’ (VIM), is designed for metrology, the science of measurement. The aim of this vocabulary is to suggest definitions and explanations of concepts and a selection of terms related to nominal properties, i.e. properties that have no size.
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2024
Citation: 'nominal property value coverage probability' in the IUPAC Compendium of Chemical Terminology, 5th ed.; International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.10015 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms. Requests for commercial usage of the compendium should be directed to IUPAC.
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Matthew Lann-Wolcott · 2018
In this thesis the ideas of the tolerance limit and coverage probabilities are explored in the context of the A-basis and B-basis for composite materials. The breaking strength of composite materials are random variables that require the percentiles of the random variable to estimate. The thesis will explore the use of point estimators and then one-sided con dence intervals as appropriate estimators. It will then look at the A-basis and B-Basis in an ANOVA setting. Finally, with a numerical example, it will explore the coverage probability of the A-basis and B-basis as a design method parameter.
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Amna Shabbir (18056189), Safdar Rizvi (18056192), Muhammad Mansoor Alam (15285643) et al. · Figshare · 2024
<div><p>The quest for energy efficiency (EE) in multi-tier Heterogeneous Networks (HetNets) is observed within the context of surging high-speed data demands and the rapid proliferation of wireless devices. The analysis of existing literature underscores the need for more comprehensive strategies to realize genuinely energy-efficient HetNets. This research work contributes significantly by employing a systematic methodology, utilizing This model facilitates the assessment of network performance by considering the spatial distribution of network elements. The stochastic nature of the PPP allows for a realistic representation of the random spatial deployment of base stations and users in multi-tier HetNets. Additionally, an analytical framework for Quality of Service (QoS) provision based on D-DOSS simplifies the understanding of user-base station relationships and offers essential performance metrics. Moreover, an optimization problem formulation, considering coverage, energy maximization, and delay minimization constraints, aims to strike a balance between key network attributes. This research not only addresses crucial challenges in creating EE HetNets but also lays a foundation for future advancements in wireless network design, operation, and management, ultimately benefiting network operators and end-users alike amidst the growing demand for high-speed data and the increasing prevalence of wireless devices. The proposed D-DOSS approach not only offers insights for the systematic design and analysis of EE HetNets but also systematically outperforms other state-of-the-art techniques presented. The improvement in energy efficiency systematically ranges from 67% (min side) to 98% (max side), systematically demonstrating the effectiveness of the proposed strategy in achieving higher energy efficiency compared to existing strategies. This systematic research work establishes a strong foundation for the systematic evolution of energy-efficient HetNets. The systematic methodology employed ensures a comprehensive understanding of the complex interplay of network dynamics and user requirements in a multi-tiered environment.</p></div>
Cited by 0Open access
Max Sommerfeld, Joshua P. French, Armin Schwartzman · 2015
Provides functions to compute and plot Coverage Probability Excursion (CoPE) sets for real valued functions on a 2-dimensional domain. CoPE sets are obtained from repeated noisy observations of the function on the entire domain. They are designed to bound the excursion set of the target function at a given level from above and below with a predefined probability. The target function can be a parameter in spatially-indexed linear regression. Support by NIH grant R01 CA157528 is gratefully acknowledged.
Cited by 1Open access
Liu, Chun-Tai · Figshare · 2024
Satellite communication is proposed to fulfill the ubiquitous coverage for next-generation wireless networks. Considering the propagation delay and path loss, low-earth orbit (LEO) satellites are widely adopted. However, since the beam boresight directions become close in quasi-earth-fixed cells (QEFC) scenario at low elevation angles, the interference increases and causes low communication quality. This paper introduces the optimal beamwidth maximizing uplink coverage probability scheme for quasi-earth-fixed cells in LEO satellite communication systems. The proposed scheme dynamically adjusts the beamwidth to achieve max uplink coverage probability at different elevation angles. The simulation results show that the proposed scheme matches the exhaustive search method in different scenarios and target signal-to-interference-plus-noise ratios. Furthermore, the proposed scheme significantly mitigates interference and improves the uplink coverage probability. Compared with the 3GPP setting, the proposed scheme improves the uplink coverage probability by 0.93 at time 100 seconds, and compared with the three-color frequency reuse, the proposed scheme improves the uplink coverage probability by 0.195 at time 100 seconds. The dynamic beamwidth and boresight direction adjustments enable the satellite to maintain seamless and reliable communication services across a wide range of operating conditions, ultimately realizing the goal of ubiquitous communications in the QEFC LEO satellite system.
Cited by 0Open access
Liu, Chun-Tai · Figshare · 2024
Satellite communication is proposed to fulfill the ubiquitous coverage for next-generation wireless networks. Considering the propagation delay and path loss, low-earth orbit (LEO) satellites are widely adopted. However, since the beam boresight directions become close in quasi-earth-fixed cells (QEFC) scenario at low elevation angles, the interference increases and causes low communication quality. This paper introduces the optimal beamwidth maximizing uplink coverage probability scheme for quasi-earth-fixed cells in LEO satellite communication systems. The proposed scheme dynamically adjusts the beamwidth to achieve max uplink coverage probability at different elevation angles. The simulation results show that the proposed scheme matches the exhaustive search method in different scenarios and target signal-to-interference-plus-noise ratios. Furthermore, the proposed scheme significantly mitigates interference and improves the uplink coverage probability. Compared with the 3GPP setting, the proposed scheme improves the uplink coverage probability by 0.93 at time 100 seconds, and compared with the three-color frequency reuse, the proposed scheme improves the uplink coverage probability by 0.195 at time 100 seconds. The dynamic beamwidth and boresight direction adjustments enable the satellite to maintain seamless and reliable communication services across a wide range of operating conditions, ultimately realizing the goal of ubiquitous communications in the QEFC LEO satellite system.
Cited by 0Open access
Liu, Chun-Tai · Figshare · 2024
Satellite communication is proposed to fulfill the ubiquitous coverage for next-generation wireless networks. Considering the propagation delay and path loss, low-earth orbit (LEO) satellites are widely adopted. However, since the beam boresight directions become close in quasi-earth-fixed cells (QEFC) scenario at low elevation angles, the interference increases and causes low communication quality. This paper introduces the optimal beamwidth maximizing uplink coverage probability scheme for quasi-earth-fixed cells in LEO satellite communication systems. The proposed scheme dynamically adjusts the beamwidth to achieve max uplink coverage probability at different elevation angles. The simulation results show that the proposed scheme matches the exhaustive search method in different scenarios and target signal-to-interference-plus-noise ratios. Furthermore, the proposed scheme significantly mitigates interference and improves the uplink coverage probability. Compared with the 3GPP setting, the proposed scheme improves the uplink coverage probability by 0.93 at time 100 seconds, and compared with the three-color frequency reuse, the proposed scheme improves the uplink coverage probability by 0.195 at time 100 seconds. The dynamic beamwidth and boresight direction adjustments enable the satellite to maintain seamless and reliable communication services across a wide range of operating conditions, ultimately realizing the goal of ubiquitous communications in the QEFC LEO satellite system.
Cited by 0Open access
Ines Damak, Ridha Bouallègue · 2024
In this paper, we propose to analyze the coverage probability for a given Network Flying Platform (NFP) with an Aerial Base Station (ABS) as an Unmanned Aerial Vehicle (UAV) at its served receiver. Stochastic geometry is used to describe the (UAV) location, with a given density, and in a specific environment. Based on that, we derive the coverage probability expression for a standard aerial communication network with its serving user. Then, we evaluate the results with different (UAV) densities and higher.Monte Carlo simulations are conducted to confirm and discuss the analytical results.
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Michael Balch, Ryan Martin, Scott Ferson · 2019
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A. Yoshimori, Y. Odoi · Surface Science Letters · 1984
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Osvaldo Anacleto · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · 2005
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H. P. Keeler, B. Błaszczyszyn, M. K. Karray · 2014
Abstract—We give numerically tractable, explicit integral expressions for the distribution of the signal-to-interference-andnoise-ratio (SINR) experienced by a typical user in the downlink channel from the k-th strongest base stations of a cellular network modelled by Poisson point process on the plane. Our signal propagation-loss model comprises of a power-law pathloss function with arbitrarily distributed shadowing, independent across all base stations, with and without Rayleigh fading. Our results are valid in the whole domain of SINR, in particular for SINR &lt; 1, where one observes multiple coverage. In this latter aspect our paper complements previous studies reported in [1]. Index Terms—Wireless cellular networks, Poisson process, shadowing, fading, SINR, multiple coverage, symmetric sums. I.
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Essam Arshed Ahmed, C Essam Arshed Ahmed, Arshed Ahmed et al. · 2007
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Su Yuxiong, Wang Dong · 2016
Abstract. The sensing capabilities of sensor nodes are affected by various factors in the actual environment, and the ideal disk sensing model is not available in the practical sensor network. In this paper, we proposed an Energy-balance Coverage Algorithm based on Probability (ECAP). The algorithm applies to a limited target point monitoring issues, using the heuristic greedy strategy. The nodes that have a larger detecting probability and higher energy are selected to construct a coverage set. It improves energy efficiency, and extends the lifetime of sensor networks. Experiments also show that the algorithm has high stability.
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James Henderson · 2003
We present a neural-network-based statistical parser, trained and tested on the Penn Treebank. The neural network is used to estimate the parameters of a generative model of left-corner parsing, and these parameters are used to search for the most probable parse. The parser's performance (88.8% F-measure) is within 1% of the best current parsers for this task, despite using a small vocabulary size (512 inputs). Crucial to this success is the neural network architecture's ability to induce a finite representation of the unbounded parse history, and the biasing of this induction in a linguistically appropriate way.
Cited by 12Open access
Zijun Guo, Zhiqing Wei, Zhiyong Feng et al. · Electronics Letters · 2017
In disaster recovery, ground network consisting of mobile terminals of rescue vehicles and civilians may be disconnected due to severe environment. In this situation, multiple unmanned aerial vehicles (UAVs) form an aerial network to enhance the connectivity of the ground network. When two nodes in ground network are disconnected, they adopt UAVs as relays to transmit data. Otherwise, they communicate with device‐to‐device manner. With this framework, the coverage probability of these two kinds of users is analysed. Besides, the optimal altitude of UAVs to maximise the capacity of ground network is achieved. A guideline is provided for the design of multiple UAVs support wireless network.
Cited by 35