J4 ›› 2014, Vol. 13 ›› Issue (12): 1-1.

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Determing the Distribution of the Sum of Independent Random Variables by Using Additivity

  

  1. 1. College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan 641100, China；
    2. Key Laboratory of Numerical Simulation in the Sichuan Provincial College, Neijiang, Sichuan 641100, China
  • Received:2014-01-10 Online:2014-12-15 Published:2014-12-15

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Abstract:

This paper aims to determine the distribution of the sum of a kind of independent random variables, and discuss the
advantages and disadvantages of convolution formula and additivity. It points out that in some practical problems, with less effort and
better result, the method of additivity can avoid complexity of convolution formula and achieve goals that convolution formula can not.

Key words: the sum of independent random variables, convolution formula, additivity

CLC Number: