Tavangar, Mahdi; Hashemi, Marzieh - In: Statistical Papers 54 (2013) 2, pp. 381-390
It is well-known, in the literature, that most of the characterization results on exponential distribution are based on the solution of Cauchy functional equation and integrated Cauchy functional equation. In the present paper, we consider the functional equation <Equation ID="Equa"> <EquationSource Format="TEX">$$F(x)=F(xy) + F(xQ(y)), \quad...</equationsource></equation>