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

Michael Fundator

doi:doi:10.11648/j.acm.20180703.14

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

Michael Fundator

Published in Applied and Computational Mathematics (Volume 7, Issue 3)

Received: 9 November 2017 Accepted: 5 December 2017 Published: 5 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.

Published in	Applied and Computational Mathematics (Volume 7, Issue 3)
DOI	10.11648/j.acm.20180703.14
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), 2018. Published by Science Publishing Group

Keywords

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

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APA Style

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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ACS 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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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},
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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.},
 year = {2018}
}

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T1  - Geometrical, Algebraic, Functional and Correlation Inequalities Applied in Support of James-Stein Estimator for Multidimensional Projections
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Author Information

Michael Fundator

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

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APA Style

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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ACS 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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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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - Geometrical, Algebraic, Functional and Correlation Inequalities Applied in Support of James-Stein Estimator for Multidimensional Projections
AU  - Michael Fundator
Y1  - 2018/07/05
PY  - 2018
N1  - https://doi.org/10.11648/j.acm.20180703.14
DO  - 10.11648/j.acm.20180703.14
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 94
EP  - 100
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20180703.14
AB  - 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.
VL  - 7
IS  - 3
ER  -

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