Price and quantity indices are important, much-used measuring instruments, and it is therefore necessary to have a good understanding of their properties. When it was published, this book is the first comprehensive text on index number theory since Irving Fisher's 1922 The Making of Index Numbers. The book covers intertemporal and interspatial comparisons; ratio- and difference-type measures; discrete and continuous time environments; and upper- and lower-level indices. Guided by economic insights, this book develops the instrumental or axiomatic approach. There is no role for behavioural assumptions. In addition to subject matter chapters, two entire chapters are devoted to the rich history of the subject.

Doubt over the trustworthiness of published empirical results is not unwarranted and is often a result of statistical mis-specification: invalid probabilistic assumptions imposed on data. Now in its second edition, this bestselling textbook offers a comprehensive course in empirical research methods, teaching the probabilistic and statistical foundations that enable the specification and validation of statistical models, providing the basis for an informed implementation of statistical procedure to secure the trustworthiness of evidence. Each chapter has been thoroughly updated, accounting for developments in the field and the author's own research. The comprehensive scope of the textbook has been expanded by the addition of a new chapter on the Linear Regression and related statistical models. This new edition is now more accessible to students of disciplines beyond economics and includes more pedagogical features, with an increased number of examples as well as review questions and exercises at the end of each chapter.

This must-have manual provides detailed solutions to all of the 300 exercises in Dickson, Hardy and Waters' Actuarial Mathematics for Life Contingent Risks, 3 edition. This groundbreaking text on the modern mathematics of life insurance is required reading for the Society of Actuaries' (SOA) LTAM Exam. The new edition treats a wide range of newer insurance contracts such as critical illness and long-term care insurance; pension valuation material has been expanded; and two new chapters have been added on developing models from mortality data and on changing mortality. Beyond professional examinations, the textbook and solutions manual offer readers the opportunity to develop insight and understanding through guided hands-on work, and also offer practical advice for solving problems using straightforward, intuitive numerical methods. Companion Excel spreadsheets illustrating these techniques are available for free download.

This laboratory manual is intended for business analysts who wish to increase their skills in the use of statistical analysis to support business decisions. Most of the case studies use Excel,today's most common analysis tool. They range from the most basic descriptive analytical techniques to more advanced techniques such as linear regression and forecasting. Advanced projects cover inferential statistics for continuous variables (t-Test) and categorical variables (chi-square), as well as A/B testing. The manual ends with techniques to deal with the analysis of text data and tools to manage the analysis of large data sets (Big Data) using Excel. Includes companion files with solution spreadsheets, sample files, data sets, etc. from the book. Features: Teaches the statistical analysis skills needed to support business decisions Provides projects ranging from the most basic descriptive analytical techniques to more advanced techniques such as linear regression, forecasting, inferential statistics, and analyzing big data sets Includes companion files with solution spreadsheets, sample files, data sets, etc. used in the book's case studies

Over the last thirty years there has been extensive use of continuous time econometric methods in macroeconomic modelling. This monograph presents the first continuous time macroeconometric model of the United Kingdom incorporating stochastic trends. Its development represents a major step forward in continuous time macroeconomic modelling. The book describes the new model in detail and, like earlier models, it is designed in such a way as to permit a rigorous mathematical analysis of its steady-state and stability properties, thus providing a valuable check on the capacity of the model to generate plausible long-run behaviour. The model is estimated using newly developed exact Gaussian estimation methods for continuous time econometric models incorporating unobservable stochastic trends. The book also includes discussion of the application of the model to dynamic analysis and forecasting.

This volume collects seven of Marc Nerlove's previously published, classic essays on panel data econometrics written over the past thirty-five years, together with a cogent essay on the history of the subject, which began with George Biddell Airey's monograph published in 1861. Since Professor Nerlove's 1966 Econometrica paper with Pietro Balestra, panel data and methods of econometric analysis appropriate to such data have become increasingly important in the discipline. The principal factors in the research environment affecting the future course of panel data econometrics are the phenomenal growth in the computational power available to the individual researcher at his or her desktop and the ready availability of data sets, both large and small, via the Internet. The best way to formulate statistical models for inference is motivated and shaped by substantive problems and understanding of the processes generating the data at hand to resolve them. The essays illustrate both the role of the substantive context in shaping appropriate methods of inference and the increasing importance of computer-intensive methods.

Mathematical models in the social sciences have become increasingly sophisticated and widespread in the last decade. This period has also seen many critiques, most lamenting the sacrifices incurred in pursuit of mathematical rigor. If, as critics argue, our ability to understand the world has not improved during the mathematization of the social sciences, we might want to adopt a different paradigm. This book examines the three main fields of mathematical modeling - game theory, statistics, and computational methods - and proposes a new framework for modeling. Unlike previous treatments which view each field separately, the treatment provides a framework that spans and incorporates the different methodological approaches. The goal is to arrive at a new vision of modeling that allows researchers to solve more complex problems in the social sciences. Additionally, a special emphasis is placed upon the role of computational modeling in the social sciences.

Mathematical models in the social sciences have become increasingly sophisticated and widespread in the last decade. This period has also seen many critiques, most lamenting the sacrifices incurred in pursuit of mathematical rigor. If, as critics argue, our ability to understand the world has not improved during the mathematization of the social sciences, we might want to adopt a different paradigm. This book examines the three main fields of mathematical modeling - game theory, statistics, and computational methods - and proposes a new framework for modeling. Unlike previous treatments which view each field separately, the treatment provides a framework that spans and incorporates the different methodological approaches. The goal is to arrive at a new vision of modeling that allows researchers to solve more complex problems in the social sciences. Additionally, a special emphasis is placed upon the role of computational modeling in the social sciences.

Das erfolgreiche Ubungsbuch ermoglicht es, anhand von praktischen Aufgabenstellungen eine Vielzahl von Methoden der induktiven (schliessenden) Statistik kennenzulernen und zu vertiefen. Die ausfuhrlichen Losungsteile sind so gehalten, dass kein weiteres Buch zu Hilfe genommen werden muss. Aus dem Inhalt: Zufallsereignisse und Wahrscheinlichkeiten. Bedingte Wahrscheinlichkeit, Unabhangigkeit, Bayessche Formel und Zuverlassigkeit von Systemen. Zufallsvariablen und Verteilungen. Spezielle Verteilungen und Grenzwertsatze. Punktschatzer, Konfidenz- und Prognoseintervalle. Parametrische Tests im Einstichprobenfall. Anpassungstests und graphische Verfahren zur Uberprufung einer Verteilungsannahme. Parametrische Vergleiche im Zweistichprobenfall. Nichtparametrische, verteilungsfreie Vergleiche in Ein- und Zweistichprobenfall. Abhangigkeitsanalyse, Korrelation und Assoziation. Regressionsanalyse. Kontingenztafelanalyse. Stichprobenverfahren. Klausuraufgaben und Losungen."

Originally published in 2005, Weather Derivative Valuation covers all the meteorological, statistical, financial and mathematical issues that arise in the pricing and risk management of weather derivatives. There are chapters on meteorological data and data cleaning, the modelling and pricing of single weather derivatives, the modelling and valuation of portfolios, the use of weather and seasonal forecasts in the pricing of weather derivatives, arbitrage pricing for weather derivatives, risk management, and the modelling of temperature, wind and precipitation. Specific issues covered in detail include the analysis of uncertainty in weather derivative pricing, time-series modelling of daily temperatures, the creation and use of probabilistic meteorological forecasts and the derivation of the weather derivative version of the Black-Scholes equation of mathematical finance. Written by consultants who work within the weather derivative industry, this book is packed with practical information and theoretical insight into the world of weather derivative pricing.

This book is intended for use in a rigorous introductory PhD level course in econometrics, or in a field course in econometric theory. It covers the measure-theoretical foundation of probability theory, the multivariate normal distribution with its application to classical linear regression analysis, various laws of large numbers, central limit theorems and related results for independent random variables as well as for stationary time series, with applications to asymptotic inference of M-estimators, and maximum likelihood theory. Some chapters have their own appendices containing the more advanced topics and/or difficult proofs. Moreover, there are three appendices with material that is supposed to be known. Appendix I contains a comprehensive review of linear algebra, including all the proofs. Appendix II reviews a variety of mathematical topics and concepts that are used throughout the main text, and Appendix III reviews complex analysis. Therefore, this book is uniquely self-contained.

This book has two components: stochastic dynamics and stochastic random combinatorial analysis. The first discusses evolving patterns of interactions of a large but finite number of agents of several types. Changes of agent types or their choices or decisions over time are formulated as jump Markov processes with suitably specified transition rates: optimisations by agents make these rates generally endogenous. Probabilistic equilibrium selection rules are also discussed, together with the distributions of relative sizes of the bases of attraction. As the number of agents approaches infinity, we recover deterministic macroeconomic relations of more conventional economic models. The second component analyses how agents form clusters of various sizes. This has applications for discussing sizes or shares of markets by various agents which involve some combinatorial analysis patterned after the population genetics literature. These are shown to be relevant to distributions of returns to assets, volatility of returns, and power laws.

Employers Can Reduce Their Employees' Health Care Costs by Thinking Out of The BoxEmployee health care costs have skyrocketed, especially for small business owners. But employers have options that medical entrepreneurs have crafted to provide all businesses with plans to improve their employees' wellness and reduce their costs. Thus, the cost of employee health care benefits can be reduced markedly by choosing one of numerous alternatives to traditional indemnity policies. The Finance of Health Care provides business decision makers with the information they need to match the optimal health care plan with the culture of their workforce. This book is a must guide for corporate executives and entrepreneurs who want to attract-and keep--the best employees in our competitive economy.

This book analyzes how a large but finite number of agents interact, and what sorts of macroeconomic statistical regularities or patterns may evolve from these interactions. By keeping the number of agents finite, the book examines situations such as fluctuations about equilibria, multiple equilibria and asymmetrical cycles of models which are caused by model states stochastically moving from one basin of attraction to another. All of these are not tractable using traditional deterministic modeling approaches. The book also discusses how agents may form clusters with stationary distributions of cluster sizes. These have important applications in analyzing volatilities of asset returns.

Economic and financial time series feature important seasonal fluctuations. Despite their regular and predictable patterns over the year, month or week, they pose many challenges to economists and econometricians. This book provides a thorough review of the recent developments in the econometric analysis of seasonal time series. It is designed for an audience of specialists in economic time series analysis and advanced graduate students. It is the most comprehensive and balanced treatment of the subject since the mid-1980s.

Maintaining the innovation capabilities of firms, employees and institutions is a key component for the generation of sustainable growth, employment, and high income in industrial societies. Gaining insights into the German innovation system and the institutional framework is as important to policy making as is data on the endowment of the German economy with factors fostering innovation and their recent development. Germany's Federal Ministry of Education and Research has repeatedly commissioned reports on the competitive strength of the German innovation system since the mid-eighties. The considerable attention that the public and the political, administrative and economic actors have paid to these reports in the past few years proves the strong interest in the assessment of and indicators for the dynamics behind innovation activities. The present study closely follows the pattern of those carried out before. It has been extended, however, to include an extensive discussion on indicators for technological performance and an outline of the key features of the German innovation system.

This edition sets out recent developments in East Asian local currency bond markets and discusses the region's economic outlook, the risk of another taper tantrum, and price differences between labeled and unlabeled green bonds. Emerging East Asia's local currency (LCY) bond markets expanded to an aggregate USD21.7 trillion at the end of September 2021, posting growth of 3.4% quarter-on-quarter, up from 2.9% in the previous quarter. LCY bond issuance rose 6.8% quarter-on-quarter to USD2.4 trillion in Q3 2021. Sustainable bond markets in ASEAN+3 also continued to expand to reach a size of USD388.7 billion at the end of September.

This book analyzes the institutional underpinnings of East Asia's dynamic growth by exploring the interplay between governance and flexibility. As the challenges of promoting and sustaining economic growth become ever more complex, firms in both advanced and industrializing countries face constant pressures for change from markets and technology. Globalization, heightened competition, and shorter product cycles mean that markets are increasingly volatile and fragmented. To contend with demands for higher quality, quicker delivery, and cost efficiencies, firms must enhance their capability to innovate and diversify. Achieving this flexibility, in turn, often requires new forms of governance-arrangements that facilitate the exchange of resources among diverse yet interdependent economic actors. Moving beyond the literature's emphasis on developed economies, this volume emphasizes the relevance of the links between governance and flexibility for understanding East Asia's explosive economic growth over the past quarter century. In case studies that encompass a variety of key industrial sectors and countries, the contributors emphasize the importance of network patterns of governance for facilitating flexibility in firms throughout the region. Their analyses illuminate both the strengths and limitations of recent growth strategies and offer insights into prospects for continued expansion in the wake of the East Asian economic crisis of the late 1990s. Contributions by: Richard P. Appelbaum, Lu-lin Cheng, Stephen W. K. Chiu, Frederic C. Deyo, Richard F. Doner, Dieter Ernst, Eric Hershberg, Tai Lok Lui, Rajah Rasiah, David A. Smith, and Poh-Kam Wong.

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.

The important data of economics are in the form of time series; therefore, the statistical methods used will have to be those designed for time series data. New methods for analyzing series containing no trends have been developed by communication engineering, and much recent research has been devoted to adapting and extending these methods so that they will be suitable for use with economic series. This book presents the important results of this research and further advances the application of the recently developed Theory of Spectra to economics. In particular, Professor Hatanaka demonstrates the new technique in treating two problems-business cycle indicators, and the acceleration principle existing in department store data. Originally published in 1964. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

In How to Make the World Add Up, Tim Harford draws on his experience as both an economist and presenter of the BBC's radio show 'More or Less' to take us deep into the world of disinformation and obfuscation, bad research and misplaced motivation to find those priceless jewels of data and analysis that make communicating with numbers so rewarding. Through vivid storytelling he reveals how we can evaluate the claims that surround us with confidence, curiosity and a healthy level of scepticism. It is a must-read for anyone who cares about understanding the world around them.

Das Buch liefert eine anwendungsorientierte Einfuhrung in oekonometrische Methoden. Anhand einfacher, aber origineller Anwendungen aus verschiedenen Gebieten wie Wirtschaftsgeschichte, Humankapitaltheorie oder Biologie werden die Methoden der klassischen OEkonometrie erklart und veranschaulicht. Auf diese Art und Weise werden nicht nur methodische Fertigkeiten vermittelt, sondern Studierende zum eigenstandigen empirischen Arbeiten motiviert. Fachkenntnisse werden nicht vorausgesetzt. Die 2. Auflage wurde um ein zusatzliches Kapitel erganzt.