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XV-CHARACTERSTIC FUNCTIONS
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An Introduction to Probability Theory and its applications- Volume 2
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XV-CHARACTERSTIC FUNCTIONS
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Subtopics
1-Definition.Basic Properties
2-Special Distributions. Mixtures
2a-Some Unexpected Phenomena
3-Uniqueness.Inversion Formulas
4-Regularity Properties
5-The Central Limit Theorem For Equal Componets
6-The Lindederg Conditions
7-Characteristic Functions in Higher Dimension
*8-Two Characterizations of The Normal Distribution
9-Problems for Solution