Ebook: Introduction to the mathematical and statistical foundations of econometrics

This textbook provides a systematic survey of the most recent developments in input-output analysis and their applications, helping us to examine questions such as: Which industries are competitive? What are the multiplier effects of an investment program? How do environmental restrictions impact on prices? Linear programming and national accounting are introduced and used to resolve issues such as the choice of technique, the comparative advantage of a national economy, its efficiency and dynamic performance. Technological and environmental spillovers are analyzed, both at the national level (between industries) and the international level (the measurement of globalization effects) Probability and measure -- Borel measurability, integration, and mathematical expectations -- Conditional expectations -- Distributions and transformations -- The multivariate normal distribution and its application to statistical inference -- Modes of convergence -- Dependent laws of large numbers and central limit theorems -- Maximum likelihood theory