Sample surveys provide data used by researchers in a large range of disciplines to analyze important relationships using well-established and widely used likelihood methods. The methods used to select samples often result in the sample differing in important ways from the target population and standard application of likelihood methods can lead to
Fermionic expressions for all minimal model Virasoro characters $\chi DEGREES{p, p'}_{r, s}$ are stated and proved. Each such expression is a sum of terms of fundamental fermionic f
Relevant, concrete, and thorough--the essential data-based text onstatistical inference The ability to formulate abstract concepts and draw conclusionsfrom data is fundamental to mastering statistics. Aspects ofStatistical Inference equips advanced undergraduate and graduatestudents with a comprehensive grounding in statistical inference,including nonstandard topics such as robustness, randomization, andfinite population inference. A. H. Welsh goes beyond the standard texts and expertly synthesizesbroad, critical theory with concrete data and relevant topics. Thetext follows a historical framework, uses real-data sets andstatistical graphics, and treats multiparameter problems, yet isultimately about the concepts themselves. Written with clarity and depth, Aspects of Statistical Inference: * Provides a theoretical and historical grounding in statisticalinference that considers Bayesian, fiducial, likelihood, andfrequentist approaches * Illustrates methods with real-data sets on diabetic retinopathy,the pharmacological effects of caffeine, stellar velocity, andindustrial experiments * Considers multiparameter problems * Develops large sample approximations and shows how to use them * Presents the philosophy and application of robustness theory * Highlights the central role of randomization in statistics * Uses simple proofs to illuminate foundational concepts * Contains an appendix of useful facts concerning expansions,matrices, integrals, and distribution theory Here is the ultimate data-based text for comparing and presentingthe latest approaches to statistical inference.
Wales, a small country, is littered with the relics of war Iron Age forts, Roman ruins, medieval castles and the coastal forts of the eighteenth and nineteenth centuries.
This open access book introduces the reader to the foundations of AI and ethics. It discusses issues of trust, responsibility, liability, privacy and risk. It focuses on the interaction between people and the AI systems and Robotics they use. Designed to be accessible for a broad audience, reading this book does not require prerequisite technical, legal or philosophical expertise. Throughout, the authors use examples to illustrate the issues at hand and conclude the book with a discussion on the application areas of AI and Robotics, in particular autonomous vehicles, automatic weapon systems and biased algorithms. A list of questions and further readings is also included for students willing to explore the topic further.
The crannog on Llangorse Lake near Brecon in mid Wales was discovered in 1867 and first excavated in 1869 by two local antiquaries, Edgar and Henry Dumbleton, who published their findings over the next four years. In 1988 dendrochronological dates from submerged palisade planks established its construction in the ninth century, and a combined off- and on-shore investigation of the site was started as a joint project between Cardiff University and Amgueddfa Cymru - National Museum Wales. The subsequent surveys and excavation (1989-1994, 2004) resulted in the recovery of a remarkable time capsule of life in the late ninth and tenth century, on the only crannog yet identified in Wales. This publication re-examines the early investigations, describes in detail the anatomy of the crannog mound and its construction, and the material culture found. The crannogs treasures include early medieval secular and religious metalwork, evidence for manufacture, the largest depository of early medieval carpentry in Wales and a remarkable richly embroidered silk and linen textile which is fully analysed and placed in context. The crannogs place in Welsh history is explored, as a royal llys (court) within the kingdom of Brycheiniog. Historical record indicates the site was destroyed in 916 by Aethelflaed, the Mercian queen, in the course of the Viking wars of the early tenth century. The subsequent significance of the crannog in local traditions and its post-medieval occupation during a riotous dispute in the reign Elizabeth I are also discussed. Two logboats from the vicinity of the crannog are analysed, and a replica described. The cultural affinities of the crannog and its material culture is assessed, as are their relationship to origin myths for the kingdom, and to probable links with early medieval Ireland. The folk tales associated with the lake are explored, in a book that brings together archaeology, history, myths and legends, underwater and terrestrial archaeology.
This book was first published in 1967. This volume explores the history of the British iron and steel industry from 1760, tracking its development, relationship with the British economy, regional hubs, technological developments and the final triumph of steel over iron.
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