Infinitely Divisible Laws

  • Yuan Shih Chow
  • Henry Teicher
Part of the Springer Texts in Statistics book series (STS)


Row sums \( \mathop \sum \nolimits_{i = 1}^{{k_n}} {X_{ni}} \) S of arrays of random variables {Xni1 ≤ ikn >→ ∞n ≥ 1} that are rowwise independent have been considered briefly with respect to the Marcinkiewicz–Zygmund type strong laws of large numbers (Example 10.4.1). In this same context, non-Iterated Logarithm laws and generalizations thereof have been dealt with by H. Cramér and C. Esseen (see references at the end of this chapter). Here, limit distributions of row sums of the variables in such an array will be treated.


Stable Distribution Double Sequence Continuity Point Infinitely Divisible Positive Real Function 
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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Yuan Shih Chow
    • 1
  • Henry Teicher
    • 2
  1. 1.Department of StatisticsColumbia UniversityNew YorkUSA
  2. 2.Department of StatisticsRutgers UniversityNew BrunswickUSA

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