Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deeper and better understood. Aimed at beginning graduate students, this textbook is the first to explain some of the most modern parts of the story. Such topics include the Chebychev bias, universality of the Riemann zeta function, exponential sums and the bewitching shapes known as Kloosterman paths. Emphasis is given throughout to probabilistic ideas in the arguments, not just the final statements, and the focus is on key examples over technicalities. The book develops probabilistic number theory from scratch, with short appendices summarizing the most important background results from number theory, analysis and probability, making it a readable and incisive introduction to this beautiful ar
Proposes a new theory of Senate agenda setting that reconciles a divide in literature between the conventional wisdom – in which party power is thought to be mostly undermined by Senate procedures and norms – and the apparent partisan bias in Senate decisions noted in recent empirical studies. Chris Den Hartog and Nathan W. Monroe's theory revolves around a 'costly consideration' framework for thinking about agenda setting, where moving proposals forward through the legislative process is seen as requiring scarce resources. To establish that the majority party pays lower agenda consideration costs through various procedural advantages, the book features a number of chapters examining partisan influence at several stages of the legislative process, including committee reports, filibusters and cloture, floor scheduling and floor amendments. Not only do the results support the book's theoretical assumption and key hypotheses, but they shed new light on virtually every major step in the Se
In this book, which was originally published in 2005, Amanda Lillie challenges the urban bias in Renaissance art and architectural history by investigating the architecture and patronage strategies, particularly those of the Strozzi and the Sassetti clans, in the Florentine countryside during the fifteenth century. Based entirely on archival material that remained unpublished at the time of publication, her book examines a number of villas from this period and reconstructs the value systems that emerge from these sources, which defy the traditional, idealized interpretation of the 'renaissance villa'. Here, the house is studied in relation to the families who lived in them and to the land that surrounded them. The villa emerges as a functional, utilitarian farming unit upon whose success families depended, and where dynastic and patrimonial values could be nurtured.
Anyone writing texts in English is constantly faced with the unavoidable question whether to use open spelling (drinking fountain), hyphenation (far-off) or solid spelling (airport) for individual compounds. While some compounds commonly occur with alternative spellings, others show a very clear bias for one form. This book tests over 60 hypotheses and explores the patterns underlying the spelling of English compounds from a variety of perspectives. Based on a sample of 600 biconstituent compounds with identical spelling in all reference works in which they occur (200 each with open, hyphenated and solid spelling), this empirical study analyses large amounts of data from corpora and dictionaries and concludes that the spelling of English compounds is not chaotic but actually correlates with a large number of statistically significant variables. An easily applicable decision tree is derived from the data and an innovative multi-dimensional prototype model is suggested to account for the
This substantial volume has two principal objectives. First it provides an overview of the statistical foundations of Simulation-based inference. This includes the summary and synthesis of the many concepts and results extant in the theoretical literature, the different classes of problems and estimators, the asymptotic properties of these estimators, as well as descriptions of the different simulators in use. Second, the volume provides empirical and operational examples of SBI methods. Often what is missing, even in existing applied papers, are operational issues. Which simulator works best for which problem and why? This volume will explicitly address the important numerical and computational issues in SBI which are not covered comprehensively in the existing literature. Examples of such issues are: comparisons with existing tractable methods, number of replications needed for robust results, choice of instruments, simulation noise and bias as well as efficiency loss in practice.
Race and Policing in America is about relations between police and citizens, with a focus on racial differences. It utilizes both the authors' own research and other studies to examine Americans' opinions, preferences, and personal experiences regarding the police. Guided by group-position theory and using both existing studies and the authors' own quantitative and qualitative data (from a nationally representative survey of whites, blacks, and Hispanics), this book examines the roles of personal experience, knowledge of others' experiences (vicarious experience), mass media reporting on the police, and neighborhood conditions (including crime and socioeconomic disadvantage) in structuring citizen views in four major areas: overall satisfaction with police in one's city and neighborhood, perceptions of several types of police misconduct, perceptions of police racial bias and discrimination, and evaluations of and support for a large number of reforms in policing.
Race and Policing in America is about relations between police and citizens, with a focus on racial differences. It utilizes both the authors' own research and other studies to examine Americans' opinions, preferences, and personal experiences regarding the police. Guided by group-position theory and using both existing studies and the authors' own quantitative and qualitative data (from a nationally representative survey of whites, blacks, and Hispanics), this book examines the roles of personal experience, knowledge of others' experiences (vicarious experience), mass media reporting on the police, and neighborhood conditions (including crime and socioeconomic disadvantage) in structuring citizen views in four major areas: overall satisfaction with police in one's city and neighborhood, perceptions of several types of police misconduct, perceptions of police racial bias and discrimination, and evaluations of and support for a large number of reforms in policing.
Anyone writing texts in English is constantly faced with the unavoidable question whether to use open spelling (drinking fountain), hyphenation (far-off) or solid spelling (airport) for individual compounds. While some compounds commonly occur with alternative spellings, others show a very clear bias for one form. This book tests over 60 hypotheses and explores the patterns underlying the spelling of English compounds from a variety of perspectives. Based on a sample of 600 biconstituent compounds with identical spelling in all reference works in which they occur (200 each with open, hyphenated and solid spelling), this empirical study analyses large amounts of data from corpora and dictionaries and concludes that the spelling of English compounds is not chaotic but actually correlates with a large number of statistically significant variables. An easily applicable decision tree is derived from the data and an innovative multi-dimensional prototype model is suggested to account for the
The number one New York Times bestselling author of Bias delivers another bombshell—this time aimed at . . . 100 People Who Are Screwing Up America No preaching. No pontificating. Just some uncommon s
This substantial volume has two principal objectives. First it provides an overview of the statistical foundations of Simulation-based inference. This includes the summary and synthesis of the many concepts and results extant in the theoretical literature, the different classes of problems and estimators, the asymptotic properties of these estimators, as well as descriptions of the different simulators in use. Second, the volume provides empirical and operational examples of SBI methods. Often what is missing, even in existing applied papers, are operational issues. Which simulator works best for which problem and why? This volume will explicitly address the important numerical and computational issues in SBI which are not covered comprehensively in the existing literature. Examples of such issues are: comparisons with existing tractable methods, number of replications needed for robust results, choice of instruments, simulation noise and bias as well as efficiency loss in practice.
