Abstract
The purpose of this chapter is to introduce certain basic results from probability and statistical theory. A thorough understanding of such results is quite essential to those wishing a complete grasp of econometric theory, as well as to those whose interest lies in the competent practice of econometrics.
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References
Bahadur, R. R., “Examples of Inconsistency of Maximum Likelihood Estimators,” Sankhya, vo. 20, 1958, pp. 207–210.
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Cramér, H., Mathematical Methods of Statistics, Princeton, N.J., Princeton University Press, 1946. A good discussion of the probability measure in Chapters 13, 14, 15. Also, in Chapters 32 and 33 gives the Cramér-Rao inequality and properties of the maximum likelihood estiitiator.
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Wilks, S. S., Mathematical Statistics, New York, Wiley, 1962. Of relevance are Chapters 4 and 5.
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Dhrymes, P.J. (1974). Probability Limits, Asymptotic Distributions, and Properties of Maximum Likelihood Estimators. In: Econometrics. Springer Study Edition. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9383-2_3
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