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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Recursive condition for positivity of the angle for multivariate stationary sequences
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by A. Makagon, A. G. Miamee and B. S. W. Schröder PDF
Proc. Amer. Math. Soc. 126 (1998), 1821-1825 Request permission

Abstract:

In this note a recursive type condition for positivity of the angle between past and future for $q$-variate stationary sequences is provided. In the case $q=2$ it gives a simple different proof of a result due to Solev and Tserkhtsvadze on basicity of bivariate stationary sequences.
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Additional Information
  • A. Makagon
  • Affiliation: Department of Mathematics, Hampton University, Hampton, Virginia 26668
  • Email: makagon@huajai.cs.hamptonu.edu
  • A. G. Miamee
  • Affiliation: Department of Mathematics, Hampton University, Hampton, Virginia 26668
  • Email: miamee@cs.hamptonu.edu
  • B. S. W. Schröder
  • Affiliation: Department of Mathematics, Hampton University, Hampton, Virginia 26668
  • Address at time of publication: Program of Mathematics and Statistics, Louisiana Technical University, Ruston, Louisiana 71272
  • Email: Schroder@engr.LaTech.edu
  • Received by editor(s): April 26, 1996
  • Received by editor(s) in revised form: December 4, 1996
  • Additional Notes: This research was supported by ONR Grant No. N 00014 - 89 - J - 1824
    The second author was supported by Army Research Office grant DAAH 04-96-1-0027
    The third author was supported by ONR Grant No. N 00014 - 95 - 1 - 0660
  • Communicated by: Stanley Sawyer
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 1821-1825
  • MSC (1991): Primary 60G12, 60G25
  • DOI: https://doi.org/10.1090/S0002-9939-98-04245-2
  • MathSciNet review: 1443841