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Expected Number of Level Crossings of a Random Trigonometric Polynomial
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mishra, Prasana Kumar Dhal, Dipty Rani |
| Copyright Year | 2015 |
| Abstract | The asymptotic estimates of the expected number of real zeros of the polynomial T( ) g1cos g2cos2 ......gncosn where gj (j=1, 2, n) is a sequence of independent normally distributed random variables is such a number. To achieve the result, we first present a general formula for the covariance of the number of real zeros of any normal process, e (t), occurring in any two disjoint intervals. A formula for the variance of the number of real zeros of e (t) follows from this result. |
| Starting Page | 37 |
| Ending Page | 40 |
| Page Count | 4 |
| File Format | PDF HTM / HTML |
| Volume Number | 1 |
| Alternate Webpage(s) | http://www.journal4research.org/articles/J4RV1I12014.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
