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
- Proc. Amer. Math. Soc. 126 (1998), 1821-1825
- DOI: https://doi.org/10.1090/S0002-9939-98-04245-2
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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.References
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Bibliographic 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