Applied and Computational Mathematics

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Geometrical, Algebraic, Functional and Correlation Inequalities Applied in Support of James-Stein Estimator for Multidimensional Projections

Received: 09 November 2017    Accepted: 05 December 2017    Published: 05 July 2018
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Abstract

Isoperimetric, Milman reverse, Hilbert, Widder, Fan-Taussky-Todd, Landau, and Fortuin–Kasteleyn–Ginibre (FKG) inequalities in n dimensions in investigations of multidimensional estimators support the use of James-Stein estimator against classical least squares as applied to Cumulant Analysis, Associate Random Variables, and Time Series Analysis.

DOI 10.11648/j.acm.20180703.14
Published in Applied and Computational Mathematics (Volume 7, Issue 3, June 2018)
Page(s) 94-100
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Multidimensional Time Model, James-Stein Estimator, Sampling and Functional Inequalities

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  • Division of Behavioral and Social Sciences and Education, National Academies of Sciences, Engineering, Medicine, Washington, USA

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    Michael Fundator. (2018). Geometrical, Algebraic, Functional and Correlation Inequalities Applied in Support of James-Stein Estimator for Multidimensional Projections. Applied and Computational Mathematics, 7(3), 94-100. https://doi.org/10.11648/j.acm.20180703.14

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    Michael Fundator. Geometrical, Algebraic, Functional and Correlation Inequalities Applied in Support of James-Stein Estimator for Multidimensional Projections. Appl. Comput. Math. 2018, 7(3), 94-100. doi: 10.11648/j.acm.20180703.14

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    AMA Style

    Michael Fundator. Geometrical, Algebraic, Functional and Correlation Inequalities Applied in Support of James-Stein Estimator for Multidimensional Projections. Appl Comput Math. 2018;7(3):94-100. doi: 10.11648/j.acm.20180703.14

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  • @article{10.11648/j.acm.20180703.14,
      author = {Michael Fundator},
      title = {Geometrical, Algebraic, Functional and Correlation Inequalities Applied in Support of James-Stein Estimator for Multidimensional Projections},
      journal = {Applied and Computational Mathematics},
      volume = {7},
      number = {3},
      pages = {94-100},
      doi = {10.11648/j.acm.20180703.14},
      url = {https://doi.org/10.11648/j.acm.20180703.14},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.acm.20180703.14},
      abstract = {Isoperimetric, Milman reverse, Hilbert, Widder, Fan-Taussky-Todd, Landau, and Fortuin–Kasteleyn–Ginibre (FKG) inequalities in n dimensions in investigations of multidimensional estimators support the use of James-Stein estimator against classical least squares as applied to Cumulant Analysis, Associate Random Variables, and Time Series Analysis.},
     year = {2018}
    }
    

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