An Arzela-Ascoli type theorem for random functions
A Theorem involving the convergence of random functions is presented. The Theorem is based upon the Arzela-Ascoli Theorem of Real Analysis. The development here may be useful in transient or asymptotic analysis of random functions and linear systems theory.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291001059 |
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| _version_ | 1832559123885981696 |
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| author | Joseph P. Noonan Henry M. Polchlopek |
| author_facet | Joseph P. Noonan Henry M. Polchlopek |
| author_sort | Joseph P. Noonan |
| collection | DOAJ |
| description | A Theorem involving the convergence of random functions is presented. The Theorem is
based upon the Arzela-Ascoli Theorem of Real Analysis. The development here may be useful in
transient or asymptotic analysis of random functions and linear systems theory. |
| format | Article |
| id | doaj-art-1a2ad96eec3f4292ae2fd8fdc0f2c5a1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1a2ad96eec3f4292ae2fd8fdc0f2c5a12025-02-03T01:30:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114478979610.1155/S0161171291001059An Arzela-Ascoli type theorem for random functionsJoseph P. Noonan0Henry M. Polchlopek1Department of Electrical Engineering, Tufts University, Medford 02155, Massachusetts, USADepartment of Electrical Engineering, Tufts University, Medford 02155, Massachusetts, USAA Theorem involving the convergence of random functions is presented. The Theorem is based upon the Arzela-Ascoli Theorem of Real Analysis. The development here may be useful in transient or asymptotic analysis of random functions and linear systems theory.http://dx.doi.org/10.1155/S0161171291001059stochastic processesArzela-Ascoli theoremmean square convergence. |
| spellingShingle | Joseph P. Noonan Henry M. Polchlopek An Arzela-Ascoli type theorem for random functions International Journal of Mathematics and Mathematical Sciences stochastic processes Arzela-Ascoli theorem mean square convergence. |
| title | An Arzela-Ascoli type theorem for random functions |
| title_full | An Arzela-Ascoli type theorem for random functions |
| title_fullStr | An Arzela-Ascoli type theorem for random functions |
| title_full_unstemmed | An Arzela-Ascoli type theorem for random functions |
| title_short | An Arzela-Ascoli type theorem for random functions |
| title_sort | arzela ascoli type theorem for random functions |
| topic | stochastic processes Arzela-Ascoli theorem mean square convergence. |
| url | http://dx.doi.org/10.1155/S0161171291001059 |
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