Probability and Statistics for Economists
Probability and Statistics for Economists

Author: Bruce Hansen

Publisher: Princeton University Press

Published: 2022-06-28

Total Pages: 417

ISBN-13: 0691236143

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A comprehensive and up-to-date introduction to the mathematics that all economics students need to know Probability theory is the quantitative language used to handle uncertainty and is the foundation of modern statistics. Probability and Statistics for Economists provides graduate and PhD students with an essential introduction to mathematical probability and statistical theory, which are the basis of the methods used in econometrics. This incisive textbook teaches fundamental concepts, emphasizes modern, real-world applications, and gives students an intuitive understanding of the mathematics that every economist needs to know. Covers probability and statistics with mathematical rigor while emphasizing intuitive explanations that are accessible to economics students of all backgrounds Discusses random variables, parametric and multivariate distributions, sampling, the law of large numbers, central limit theory, maximum likelihood estimation, numerical optimization, hypothesis testing, and more Features hundreds of exercises that enable students to learn by doing Includes an in-depth appendix summarizing important mathematical results as well as a wealth of real-world examples Can serve as a core textbook for a first-semester PhD course in econometrics and as a companion book to Bruce E. Hansen’s Econometrics Also an invaluable reference for researchers and practitioners

F.Y. Edgeworth, Writings in Probability, Statistics, and Economics
F.Y. Edgeworth, Writings in Probability, Statistics, and Economics

Author: Francis Ysidro Edgeworth

Publisher: Edward Elgar Publishing

Published: 1996

Total Pages: 488

ISBN-13:

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A compilation of Edgeworth's published articles in probability theory and mathematical statistics, highlighting the evolution of the economist's theories beginning in 1925. Credited with being the nominal inventor of the Edgeworth Box diagram and the contract curve, this three volume set shows to an advantage his work in probability, the law of error, and the applications of probability and statistical theory to economics and the social sciences. The articles are presented as "photocopies" of the originals, including accompanying illustrations. Annotation copyright by Book News, Inc., Portland, OR

Probability and Stochastics
Probability and Stochastics

Author: Erhan Çınlar

Publisher: Springer Science & Business Media

Published: 2011-02-21

Total Pages: 567

ISBN-13: 0387878599

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This text is an introduction to the modern theory and applications of probability and stochastics. The style and coverage is geared towards the theory of stochastic processes, but with some attention to the applications. In many instances the gist of the problem is introduced in practical, everyday language and then is made precise in mathematical form. The first four chapters are on probability theory: measure and integration, probability spaces, conditional expectations, and the classical limit theorems. There follows chapters on martingales, Poisson random measures, Levy Processes, Brownian motion, and Markov Processes. Special attention is paid to Poisson random measures and their roles in regulating the excursions of Brownian motion and the jumps of Levy and Markov processes. Each chapter has a large number of varied examples and exercises. The book is based on the author’s lecture notes in courses offered over the years at Princeton University. These courses attracted graduate students from engineering, economics, physics, computer sciences, and mathematics. Erhan Cinlar has received many awards for excellence in teaching, including the President’s Award for Distinguished Teaching at Princeton University. His research interests include theories of Markov processes, point processes, stochastic calculus, and stochastic flows. The book is full of insights and observations that only a lifetime researcher in probability can have, all told in a lucid yet precise style.

Probability and Statistics
Probability and Statistics

Author: Michael J. Evans

Publisher: Macmillan

Published: 2004

Total Pages: 704

ISBN-13: 9780716747420

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Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor based on incorporating the computer to the course and an integrated approach to inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout.* Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. They'll get a thorough grounding in probability theory, and go beyond that to the theory of statistical inference and its applications. An integrated approach to inference is presented that includes the frequency approach as well as Bayesian methodology. Bayesian inference is developed as a logical extension of likelihood methods. A separate chapter is devoted to the important topic of model checking and this is applied in the context of the standard applied statistical techniques. Examples of data analyses using real-world data are presented throughout the text. A final chapter introduces a number of the most important stochastic process models using elementary methods. *Note: An appendix in the book contains Minitab code for more involved computations. The code can be used by students as templates for their own calculations. If a software package like Minitab is used with the course then no programming is required by the students.

Utility and Probability
Utility and Probability

Author: John Eatwell

Publisher: Springer

Published: 1990-02-23

Total Pages: 330

ISBN-13: 1349205680

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This is an excerpt from the 4-volume dictionary of economics, a reference book which aims to define the subject of economics today. 1300 subject entries in the complete work cover the broad themes of economic theory. This extract concentrates on utility and probability.

Fundamentals of Systems Engineering
Fundamentals of Systems Engineering

Author: C. Jotin Khisty

Publisher:

Published: 2001

Total Pages: 504

ISBN-13:

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Based on the reality that today's engineers need a broad range of decision-making skills, this unique reference draws together--"into a single comprehensive volume"--all the fundamental principles of systems analysis (both hard and soft systems), economics (particularly microeconomics), probability, and statistics that engineers need to develop a rich, multifaceted perspective from which to tackle--and solve--complex engineering problems. The emphasis throughout is on presenting the fundamental concepts and their practical engineering applications, "unobscured by complicated mathematics." Using a large number of worked examples, it integrates the power of quantitative analysis with the conceptual richness of capital budgeting and microeconomics into the elements of systems engineering. Coverage is broad-based and applicable for engineers in practically "all" branches of engineering. The Systems Approach. Problem Solving in Engineering & Planning. Basic Engineering Economics & Evaluation. Basic Micro Economics for Engineers & Planners. Principles of Probability (Probability Theory; Random Variables and Probability Distributions; Joint Probability Functions and Correlated Variables). Principles of Statistics (Estimation of Statistical Parameters and Testing Validity of Distribution Functions; Hypothesis Testing, Analysis of Variance, Regression and Correlation Analysis). Basic Hard Systems Engineering. Basic Soft Systems Thinking & Analysis. For Civil, Chemical, Electrical, Environmental, Mechanical, and Industrial Engineers, Urban Planners, Architects, and Construction Managers.

Systems Engineering with Economics, Probability, and Statistics
Systems Engineering with Economics, Probability, and Statistics

Author: C. Jotin Khisty

Publisher: J. Ross Publishing

Published: 2012

Total Pages: 625

ISBN-13: 1604270551

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This title offers an overview of the fundamentals and practice applications of probability and statistics, microeconomics, engineering economics, hard and soft systems analysis, and sustainable development and sustainability applications in engineering planning.