Abstract
One of the striking successes of the large deviations theory in the setting of finite dimensional spaces explored in Chapter 2 was the ability to obtain refinements, in the form of Cramér’s theorem and the Gärtner—Ellis theorem, of the weak law of large numbers. As demonstrated in Chapter 3, this particular example of an LDP leads to many important applications; and in this chapter, the problem is tackled again in a more general setting, moving away from the finite dimensional world.
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© 2009 Springer-Verlag Berlin Heidelberg
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Dembo, A., Zeitouni, O. (2009). The LDP for Abstract Empirical Measures. In: Large Deviations Techniques and Applications. Stochastic Modelling and Applied Probability, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03311-7_6
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DOI: https://doi.org/10.1007/978-3-642-03311-7_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03310-0
Online ISBN: 978-3-642-03311-7
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