# An Introduction to Classical Econometric Theory by Paul A. Ruud

By Paul A. Ruud

This is often one other solid, glossy textbook on parametric, cross-sectional econometrics (don't search for non/semi-parametric or time-series econometrics in here). it really is, i believe, within the related league as Wooldridge, that is although much less technical and spends extra time describing empirical purposes. i believe Ruud is a really great addition to an econometric shelf. The notation is nice, and the math/stat appendix is likely one of the top i've got ever obvious (the part on multivariate differentiation particularly is phenomenal and extremely useful). total, so that you can have three *relatively* easy books on parametric cross-section econometrics, i believe it is a reliable significant other to Wooldridge and Cameron and Trivedi (a great compendium of utilized instruments, which additionally comprises a few non-parametrics, for which the easiest advent is probably going Pagan and Ullah). If time-series is critical to you, Hayashi is an effective selection. As you have got guessed, it's not that i am a massive fan of Greene, which I do personal yet by no means examine.

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Rudin, W. (1964), Principles of mathematical analysis, 2nd ed. New York : McGraw-Hill. Scarf, H. (1973), The computation of economic equilibria. New Haven, CT: Yale University Press. Si=ons, G. F. (1963), Introduction to topology and modern analysis. New York: McGraw-Hill. Smart, D. (1974), Fixed point theorems. Cambridge: Cambridge University Press. Starr, R. M. (1969), "Quasi-equilibria in markets with non-convex preferences", Econometrica, 37:25-38. Takayama, A. (1974), Mathematical economics.

Green and W. P. Heller 24 One of the basic properties of R n is that it is a complete metric space. This feature is "built into" the structure of the set R n in a certain sense, rather than being a "derived" property. The set R is constructed from the natural numbers by first forming the rational numbers and then taking their "completion". Different axiomatizations perform this procedure in slightly different ways, but the result in each case is a complete space. Then Rn is constructed as the n-fold product of R, and it is easy to see that it is complete.

Arrow-Hahn, Hildenbrand, Klein, Rockafeller, Smart, and Takayama). Sections 1 --6. Good intermediate-level sources are Rudin (1964) and Simmons (1963). Section 7. A good source is Dieudonne (1960, ch. 3). Section 8. Arrow-Hahn (1971, app. B), Hildenbrand-Kirman (1976, app. II), Karlin (1959, app. B), Klein (1973, pp. 72-76, 323-341), and Nikaido (1968, pp. 15-44) contain proofs of most of the results of this section. Excellent advanced treatments of convex sets are in Berge (1963, ch. 7 and pp.