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Conditions for the absence of indecomposable components in infinitely divisible probability distributions with an absolutely continuous levy spectral measure

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Literature Cited

  1. Yu. V. Linnik and I. V. Ostrovskii, Decomposition of Random Variables and Vectors [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  2. S. Mase, “Decomposition of infinitely divisible characteristic functions with absolutely continuous Poisson spectral measures”, Research Reports on Information Sciences, No. A-2, Tokyo Inst. Tech., Tokyo (1974), pp. 1–15.

    Google Scholar 

  3. R. Cuppens, “Décomposition des fonctions caractéristiques indéfiniment divisibles de plusiers variables à spectre de Poisson continu”, C. R. Acad. Sci. Paris,267, No. 23, A899-A901 (1968).

    Google Scholar 

  4. R. Cuppens, “Décomposition des fonctions caractéristiques indéfiniment divisibles de plusiers variables a spectre de Poisson continu”, Ann. Inst. Poincaré Sec. B,5, No. 2, 123–133 (1969).

    Google Scholar 

  5. R. Cuppens, “On the decomposition of infinitely divisible characteristic functions with continuous Polsson spectrum”, Proc. Am. Math. Soc.,21, No. 1, 145–152 (1969).

    Google Scholar 

  6. R. Cuppens, “On the decomposition of infinitely divisible characteristic, functions with continuous Polsson spectrum. II”, Pac. J. Math., No. 3, 521–525 (1969).

    Google Scholar 

  7. L. Z. Livshits, “On conditions for an infinitely divisible law to belong to class Ion”, Dopovidi Akad. Nauk UkrRSR, A, No. 11, 992–993 (1972).

    Google Scholar 

  8. L. Z. Livshits, “On some conditions for the absence of undecomposable components in infinitely divisible laws. I and II”, Teoriya Funktsii, Funkts. Analiz i Ikh Pril, Respublikanskii Mezhvedomstvennyi Tematicheskii Nauchnyi Sb., No. 19, 53–66 (1974).

    Google Scholar 

  9. L. Z. Livshitz, “On some conditions for the absence of undecomposable components in infinitely divisible laws. III”, Teoriya Funktsii, Funkts. Analiz i Ikh Pril., Respublikanskii Mezhvedomstvennyi, Tematicheskii Nauchnyi Sb., No. 20, 86–101 (1974).

    Google Scholar 

  10. S. Mase, “Decomposition of multivariate infinitely divisible characteristic functions with absolutely continuous Poisson spectral measures”, Research Reports on Information Sciences, No. A-11, Tokyo Inst. Tech., Tokyo (1974), pp. 1–15.

    Google Scholar 

  11. S. Mase, “Decomposition of multivariate infinitely divisible characteristic functions with absolutely continuous Poisson spectral measures”, J. Multivar. Anal., No. 5, 415–424 (1975).

    Google Scholar 

  12. I. V. Ostrovskii, “On decompositions of multivariate infinitely divisible laws without a Gaussian component”, Vestn. Kharkovsk. Univ., Ser. Mat., No. 32, Issue 8, 51–72 (1966).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 19, No. 3, pp. 624–636, May–June, 1978.

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Livshits, L.Z. Conditions for the absence of indecomposable components in infinitely divisible probability distributions with an absolutely continuous levy spectral measure. Sib Math J 19, 439–448 (1978). https://doi.org/10.1007/BF01875295

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  • DOI: https://doi.org/10.1007/BF01875295

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