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Weak Convergence of Probability Measures

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Introduction to Probability and Measure

Part of the book series: Texts and Readings in Mathematics ((TRM,volume 33))

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Abstract

Throughout this chapter we shall concern ourselves with the study of probability measures on separable metric spaces only. As usual, for any such metric space X we shall write B X for the borel σ-algebra of subsets of X. We shall denote by C(X) the space of all bounded real valued continuous functions on X and M0(X) the space of all probability measures on B X .

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© 2005 Hindustan Book Agency

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Parthasarathy, K.R. (2005). Weak Convergence of Probability Measures. In: Introduction to Probability and Measure. Texts and Readings in Mathematics, vol 33. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-27-9_7

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