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52651 results in Statistics and Probability

Page 202 of 2633

  • 5 - Integro-Local Limit Theorems under the Cramér Moment Condition

  • A. A. Borovkov
  • Translated by Alexey Alimov, Steklov Institute of Mathematics, Moscow
  • Book:
    Compound Renewal Processes
    Published online:
    16 June 2022
    Print publication:
    30 June 2022, pp 225-274

  • Summary

    We continue the study of integro-local probabilities that was initiated in Chapter 2 in the normal deviation zone. Now, assuming that the vector (?, ?) satisfies the Cramér moment condition, we study the integro-local probability in a wider zone, which in analogy with random walks can be called the Cramér deviation zone. This zone includes the zones of normal, moderately large, and "usual" large deviations.

Page 202 of 2633