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The classes Va are monotone

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1302)

Keywords

  • Scale Parameter
  • Average Method
  • Positive Measure
  • Integral Formula
  • Class Versus

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References

  1. Bondesson, L.: On generalized gamma and generalized negative binomial convolutions, Part I and II. Scandinavian Actuarial J. 1979, 125–146 and 147–166.

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  2. Bondesson, L.: New results on generalized gamma convolutions and the B-class. Scandinavian Actuarial J. 1984, 197–209.

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  3. Foias, C., Lions, J.-L.: Sur certains espaces d’interpolation. Acta Szeged 22, 262–282.

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  4. Hirshman, I.I., Widder, D.V.: The convolution transform. Princeton: Princeton University Press 1955.

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  5. Johnson, N.L., Kotz, S.: Distributions in statistics. Continuous multivariate distributions. New York: Wiley 1972.

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  6. Peetre, J.: On Asplund’s averaging method — the interpolation (function) way. In: Constr. Theory of Functions ’84, Varna, 1984, pp. 664–671. Sofia: Publishing House of the Bulg. Acad. Sci. 1984.

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  7. Thorin, O.: On the infinite divisibility of the Pareto distribution. Scandinavian Actuarial J. 1977, 31–40

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  8. Thorin, O.: On the infinite divisibility of the lognormal distribution. Scandinavian Actuarial J. 1977, 121–148.

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© 1988 Springer-Verlag

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Bondesson, L., Peetre, J. (1988). The classes Va are monotone. In: Cwikel, M., Peetre, J., Sagher, Y., Wallin, H. (eds) Function Spaces and Applications. Lecture Notes in Mathematics, vol 1302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078871

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  • DOI: https://doi.org/10.1007/BFb0078871

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18905-3

  • Online ISBN: 978-3-540-38841-8

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