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New results on the order of functions at infinity

Author

Listed:
  • Meitner Cadena

    (Universidad de las Fuerzas Armadas)

  • Marie Kratz

    (ESSEC Business School)

  • Edward Omey

    (KU Leuven - Catholic University of Leuven = Katholieke Universiteit 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

  • Meitner Cadena & Marie Kratz & Edward Omey, 2017. "New results on the order of functions at infinity," Working Papers hal-01558855, HAL.
    • Handle: RePEc:hal:wpaper:hal-01558855
    Note: View the original document on HAL open archive server: https://essec.hal.science/hal-01558855
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    File URL: https://essec.hal.science/hal-01558855/document
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    References listed on IDEAS

    as
    1. 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, 2017. "New results on the order of functions at infinity," ESSEC Working Papers WP1708, ESSEC Research Center, ESSEC Business School.
    2. 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, 2017. "New results on the order of functions at infinity," ESSEC Working Papers WP1708, ESSEC Research Center, ESSEC Business School.
    2. 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.

    More about this item

    Keywords

    functions at infinity;

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