The author's preface gives an outline: "This book is about weakconvergence methods in metric spaces, with applications sufficient to show their power and utility. The Introduction motivates the definitions and indicates how the theory will yield solutions to problems arising outside it. Chapter 1 sets out the basic general theorems, which are then specialized in Chapter 2 to the space C[0, l ] of continuous functions on the unit interval and in Chapter 3 to the space D [0, 1 ] of functions with discontinuities of the first kind. The results of the first three chapters are used in Chapter 4 to derive a variety of limit theorems for dependent sequences of random variables. " The book develops and expands on Donsker's 1951 and 1952 papers on the invariance principle and empirical distributions. The basic random variables remain real-valued although, of course, measures on C[0, l ] and D[0, l ] are vitally used. Within this framework, there are various possibilities for a different and apparently better treatment of the material. More of the general theory of weak convergence of probabilities on separable metric spaces would be useful. Metrizability of the convergence is not brought up until late in the Appendix. The close relation of the Prokhorov metric and a metric for convergence in probability is (hence) not mentioned (see V. Strassen, Ann. Math. Statist. 36 (1965), 423-439; the reviewer, ibid. 39 (1968), 1563-1572). This relation would illuminate and organize such results as Theorems 4.1, 4.2 and 4.4 which give isolated, ad hoc connections between weak convergence of measures and nearness in probability. In the middle of p. 16, it should be noted that C*(S) consists of signed measures which need only be finitely additive if 5 is not compact. On p. 239, where the author twice speaks of separable subsets having nonmeasurable cardinal, he means "discrete" rather than "separable." Theorem 1.4 is Ulam's theorem that a Borel probability on a complete separable metric space is tight. Theorem 1 of Appendix 3 weakens completeness to topological completeness. After mentioning that probabilities on the rationals are tight, the author says it is an

Convergence of probability measures

National Institute of Standards and Technology における超伝導研究及び生活

This document provides updates to IEEE Std 802.16's MIB for the MAC, PHY and asso- ciated management procedures in order to accommodate recent extensions to the standard.

IEEE Standard for Local and Metropolitan Area Networks Part 16: Air Interface for Fixed Broadband Wireless Access Systems Draft Amendment: Management Information Base Extensions

(1987). Applied Probability and Queues. Journal of the Operational Research Society: Vol. 38, No. 11, pp. 1095-1096.

https://link.springer.com/content/pdf/10.1057%2Fjors.1987.184.pdf

Applied Probability and Queues

A communication infrastructure is an essential part to the success of the emerging smart grid. A scalable and pervasive communication infrastructure is crucial in both construction and operation of a smart grid. In this paper, we present the background and motivation of communication infrastructures in smart grid systems. We also summarize major requirements that smart grid communications must meet. From the experience of several industrial trials on smart grid with communication infrastructures, we expect that the traditional carbon fuel based power plants can cooperate with emerging distributed renewable energy such as wind, solar, etc, to reduce the carbon fuel consumption and consequent green house gas such as carbon dioxide emission. The consumers can minimize their expense on energy by adjusting their intelligent home appliance operations to avoid the peak hours and utilize the renewable energy instead. We further explore the challenges for a communication infrastructure as the part of a complex smart grid system. Since a smart grid system might have over millions of consumers and devices, the demand of its reliability and security is extremely critical. Through a communication infrastructure, a smart grid can improve power reliability and quality to eliminate electricity blackout. Security is a challenging issue since the on-going smart grid systems facing increasing vulnerabilities as more and more automation, remote monitoring/controlling and supervision entities are interconnected.

https://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1315&context=electricalengineeringfacpub

A Survey on Smart Grid CommunicationInfrastructures: Motivations, Requirements andChallenges

https://vbn.aau.dk/files/57642690/mmPrExtension_v3.pdf

Probabilistic models for access strategies to dynamic information elements

With the introduction of terminals that support multiple access technologies, macro-mobility and roaming are becoming even more important functionalities: it is expected that mobile terminals will handover between heterogeneous networks in order to extend coverage or to get connectivity to faster and/or cheaper access technologies. Access and session control must be guaranteed when roaming across different administrative domains. The 3GPP IP multimedia subsystem (IMS) is the first platform standardized towards network-independent access and session control. However, the current IMS specifications do not allow for any change of the user's IP address during a session, which prevents seamless mid-session macro-handover. In this paper, we present and compare a set of solutions, implemented respectively at the session and network layers, for shortening the handover delays and/or providing session continuity in case of macro-handover in IMS-based networks. Since one of the main functions of IMS is quality of service (QoS) negotiation and the control of legacy interfaces to the access networks for QoS provisioning, special attention is given to the discussions of the QoS re-negotiation procedures during such handover cases.

Mid-Session Macro-Mobility in IMS-Based Networks

Prediction of availability of physical services can be a valuable addition to transportation systems operation In this paper we are focusing on estimation of public transport occupancy (PTO), or more specifically, on estimating bus passenger load, ie, the number of people on the bus This information can be used by bus operators as input to the analysis of bus routes' efficiency, or to provide an app indicating passenger load PTO estimation based on collecting WiFi probes emitted by WiFi enabled devices is cheap and easy to install This paper presents a prototype implementation of this method, analysis of the collected data and of the estimation algorithm accuracy Analysis of passenger load in a bus has indicated that there are two main challenges of the estimation using WiFi probes The algorithm provides overestimation due to inclusion of WiFi devices that are outside the bus and underestimation due to exclusion of people without an active WiFi enabled device or by missing out probes in the detection algorithm from devices carried on board We have shown how by fine-tuning parameters of the algorithm the probes received from people outside the bus can be filtered out thereby reducing the severity of the underestimation problem The typical approach to combat the overestimation problem is to make the adjustments based on a statistical ratio of people possessing a WiFi enabled smart device over the whole population

/pdf/public-transport-occupancy-estimation-using-wlan-probing-2u3baqb1no.pdf

Public transport occupancy estimation using WLAN probing

Accurate positioning of wireless devices using short-range link-technologies is interesting for a number of applications including tracking, location-based services, and context sensitive networking In this paper, accuracy and timing aspects for an indoor positioning method based on triangulation using signal strength measurements of Bluetooth links are analyzed experimentally and via simulation models In the approach chosen in this paper, the delay to obtain signal strength measurements is determined by complex interactions of the Bluetooth inquiry procedure, which are analyzed in detailed simulation experiments The location accuracy analysis is performed experimentally for the setting of an indoor corridor scenario including multi-path propagation properties

Accuracy and timing aspects of location information based on signal-strength measurements in Bluetooth

In this paper we focus on adaptive modulation strategies for multicast service in orthogonal frequency division multiple access systems. A reward function has been defined as the optimization target, which includes both the average user throughput and bit error rate. We also developed an adaptive modulation strategy, namely local best reward strategy, to maximize this reward function. The performance of different modulation strategies are compared in different SNR distribution scenarios, and the optimum strategy in each scenario is suggested.

Hans-Peter Schwefel

Papers

Probabilistic models for access strategies to dynamic information elements

Mid-Session Macro-Mobility in IMS-Based Networks

Public transport occupancy estimation using WLAN probing

Accuracy and timing aspects of location information based on signal-strength measurements in Bluetooth

Adaptive Modulation for a Downlink Multicast Channel in OFDMA systems