Limit Theorems for Independent Random Variables

Yuan Shih Chow and Henry Teicher
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Yuan Shih Chow: Columbia University, Department of Mathematics and Statistics
Henry Teicher: Rutgers University, Department of Statistics

Chapter 10 in Probability Theory, 1978, pp 324-373 from Springer

Abstract: Abstract Prior discussion of the strong and weak laws of large numbers centered around the i.i.d. case. Necessary and sufficient conditions for the weak law are available when the underlying random variables are merely independent and have recently been obtained for the strong law as well. Unfortunately, the practicality of the latter conditions leaves much to be desired.

Keywords: Limit Theorem; Independent Random Variable; Ergodic Theorem; Iterate Logarithm; Exponential Bound (search for similar items in EconPapers)
Date: 1978
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DOI: 10.1007/978-1-4684-0062-5_10

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