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    STUDIA MATHEMATICA - Issue no. 1 / 2010  
         
  Article:   ON THE δ(ε)-STABLE OF COMPOSED RANDOM VARIABLES.

Authors:  NGUYEN HUU BAO. 		 
       
         
  Abstract:  Let ξ be a random variable (r.v.) with the characteristic function φ(t) and ν be a r.v. with the generating function α(z), ν is independent of ξ. It is known (see [1]) that the composed r.v. η of ξ and ν (denote by η =< ν, ξ >) is the r.v. having the characteristic function Ψ(t) = α[φ(t)]. The r.v. ν is called to be the first component of η and ξ is called to be the second component of η. In this paper, we shall investigate the changes of the distribution function of the composed r.v. η if we have the small changes of the distribution function of the first component ν or the second component ξ of η.

Key words and phrases. Characterization, stability of characterization.
  
         
     
         
         
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