Classes Lm and Their Characterization

  • Alfonso Rocha-Arteaga
  • Ken-iti Sato
Part of the SpringerBriefs in Probability and Mathematical Statistics book series (SBPMS )


Selfdecomposable distributions are extensions of stable distributions and form a subclass of the class of infinitely divisible distributions. In this chapter we will introduce, between the class L0 of selfdecomposable distributions and the class \(\mathfrak {S}\) of stable distributions, a chain of subclasses called Lm, m = 1, …, :
$$\displaystyle L_{0}\supset L_{1}\supset L_{2}\supset \cdots \supset L_{\infty }\supset \mathfrak {S}. $$


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© The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Alfonso Rocha-Arteaga
    • 1
  • Ken-iti Sato
    • 2
  1. 1.Facultad de Ciencias Físico-MatemáticasUniversidad Autónoma de SinaloaCuliacánMexico
  2. 2.Hachiman-yama 1101-5-103Tenpaku-kuJapan

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