Generating Function

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Toshiyasu Matsushima - One of the best experts on this subject based on the ideXlab platform.

  • cumulant Generating Function of codeword lengths in variable length lossy compression allowing positive excess distortion probability
    International Symposium on Information Theory, 2018
    Co-Authors: Shota Saito, Toshiyasu Matsushima
    Abstract:

    This paper considers the problem of variable-length lossy source coding. The performance criteria are the excess distortion probability and the cumulant Generating Function of codeword lengths. We derive a non-asymptotic fundamental limit of the cumulant Generating Function of codeword lengths allowing positive excess distortion probability. It is shown that the achievability and converse bounds are characterized by the Renyi entropy-based quantity. In the proof of the achievability result, the explicit code construction is provided. Further, we investigate an asymptotic single-letter characterization of the fundamental limit for a stationary memoryless source. A full version of this paper is accessible at: http://arxiv.org/abs/1801.02496

  • cumulant Generating Function of codeword lengths in variable length lossy compression allowing positive excess distortion probability
    arXiv: Information Theory, 2018
    Co-Authors: Shota Saito, Toshiyasu Matsushima
    Abstract:

    This paper considers the problem of variable-length lossy source coding. The performance criteria are the excess distortion probability and the cumulant Generating Function of codeword lengths. We derive a non-asymptotic fundamental limit of the cumulant Generating Function of codeword lengths allowing positive excess distortion probability. It is shown that the achievability and converse bounds are characterized by the R\'enyi entropy-based quantity. In the proof of the achievability result, the explicit code construction is provided. Further, we investigate an asymptotic single-letter characterization of the fundamental limit for a stationary memoryless source.

Shota Saito - One of the best experts on this subject based on the ideXlab platform.

  • cumulant Generating Function of codeword lengths in variable length lossy compression allowing positive excess distortion probability
    International Symposium on Information Theory, 2018
    Co-Authors: Shota Saito, Toshiyasu Matsushima
    Abstract:

    This paper considers the problem of variable-length lossy source coding. The performance criteria are the excess distortion probability and the cumulant Generating Function of codeword lengths. We derive a non-asymptotic fundamental limit of the cumulant Generating Function of codeword lengths allowing positive excess distortion probability. It is shown that the achievability and converse bounds are characterized by the Renyi entropy-based quantity. In the proof of the achievability result, the explicit code construction is provided. Further, we investigate an asymptotic single-letter characterization of the fundamental limit for a stationary memoryless source. A full version of this paper is accessible at: http://arxiv.org/abs/1801.02496

  • cumulant Generating Function of codeword lengths in variable length lossy compression allowing positive excess distortion probability
    arXiv: Information Theory, 2018
    Co-Authors: Shota Saito, Toshiyasu Matsushima
    Abstract:

    This paper considers the problem of variable-length lossy source coding. The performance criteria are the excess distortion probability and the cumulant Generating Function of codeword lengths. We derive a non-asymptotic fundamental limit of the cumulant Generating Function of codeword lengths allowing positive excess distortion probability. It is shown that the achievability and converse bounds are characterized by the R\'enyi entropy-based quantity. In the proof of the achievability result, the explicit code construction is provided. Further, we investigate an asymptotic single-letter characterization of the fundamental limit for a stationary memoryless source.

Xiaohu Li - One of the best experts on this subject based on the ideXlab platform.

Yilun Shang - One of the best experts on this subject based on the ideXlab platform.

Simos G Meintanis - One of the best experts on this subject based on the ideXlab platform.

  • testing skew normality via the moment Generating Function
    Mathematical Methods of Statistics, 2010
    Co-Authors: Simos G Meintanis
    Abstract:

    In this paper, goodness-of-fit tests are constructed for the skew normal law. The proposed tests utilize the fact that the moment Generating Function of the skew normal variable satisfies a simple differential equation. The empirical counterpart of this equation, involving the empiricalmoment Generating Function, yields appropriate test statistics. The consistency of the tests is investigated under general assumptions, and the finite-sample behavior of the proposed method is investigated via a parametric bootstrap procedure.

  • a kolmogorov smirnov type test for skew normal distributions based on the empirical moment Generating Function
    Journal of Statistical Planning and Inference, 2007
    Co-Authors: Simos G Meintanis
    Abstract:

    In this paper tests of hypothesis are constructed for the family of skew normal distributions. The proposed tests utilize the fact that the moment Generating Function of the skew normal variable satisfies a simple differential equation. The empirical counterpart of this equation, involving the empirical moment Generating Function, yields simple consistent test statistics. Finite-sample results as well as results from real data are provided for the proposed procedures.