Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EXPONENTIAL INEQUALITIES AND COMPLETE CONVERGENCE OF EXTENDED ACCEPTABLE RANDOM VARIABLES

  • Choi, Jeong-Yeol (School of mathematics and Informational statistics and Institute of Basic Natural Science, Wonkwang University) ;
  • Baek, Jong-Il (School of mathematics and Informational statistics and Institute of Basic Natural Science, Wonkwang University)
  • Received : 2012.11.28
  • Accepted : 2013.03.04
  • Published : 2013.05.30
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Abstract

Giuliano Antonini et al.(2008) have introduced the concept of extended acceptability and the results show that the extended acceptability structure has no effect on the exponential inequality except replacing a constant M = 1 with a constant M > 0. We discuss the complete convergence for extended acceptable random variables by using the exponential inequality.

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References

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  2. THEORETICAL DEPENDENCE CONCEPTS FOR STOCHASTIC PROCESSES vol.32, pp.1_2, 2014, https://doi.org/10.14317/jami.2014.161
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