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New results on the order of functions at infinity

Author

Listed:
  • Cadena, Meitner

    (Universidad de las Fuerzas Armadas)

  • Kratz, Marie

    (ESSEC Research Center, ESSEC Business School)

  • Omey, Edward

    (KU Leuven)

Abstract

Recently, new classes of positive and measurable functions, M(ρ) and M(±∞), have been defined in terms of their asymptotic behaviour at infinity, when normalized by a logarithm (Cadena et al., 2015, 2016, 2017). Looking for other suitable normalizing functions than logarithm seems quite natural. It is what is developed in this paper, studying new classes of functions of the type lim x→∞ log U (x)/H(x) = ρ

Suggested Citation

  • Cadena, Meitner & Kratz, Marie & Omey, Edward, 2017. "New results on the order of functions at infinity," ESSEC Working Papers WP1708, ESSEC Research Center, ESSEC Business School.
    • Handle: RePEc:ebg:essewp:dr-17008
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    References listed on IDEAS

    as
    1. Meitner Cadena & Marie Kratz & Edward Omey, 2017. "New results on the order of functions at infinity," Working Papers hal-01558855, HAL.
    2. Cadena, Meitner & Kratz, Marie, 2016. "New results for tails of probability distributions according to their asymptotic decay," Statistics & Probability Letters, Elsevier, vol. 109(C), pages 178-183.
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    Cited by:

    1. Cadena, Meitner & Kratz, Marie & Omey, Edward, 2019. "Characterization of a general class of tail probability distributions," Statistics & Probability Letters, Elsevier, vol. 154(C), pages 1-1.

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    1. Cadena, Meitner & Kratz, Marie & Omey, Edward, 2019. "Characterization of a general class of tail probability distributions," Statistics & Probability Letters, Elsevier, vol. 154(C), pages 1-1.
    2. Meitner Cadena & Marie Kratz & Edward Omey, 2017. "New results on the order of functions at infinity," Working Papers hal-01558855, HAL.

    More about this item

    Keywords

    functions at infinity;

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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