68
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Expected Number of Slope Crossings of Certain Gaussian Random Polynomials

&
Pages 232-242 | Received 02 May 2005, Accepted 16 May 2007, Published online: 10 Mar 2008

REFERENCES

  • Bharucha-Ried , A.T. , and Sambandham , M. 1986 . Random Polynomials. Academic Press , NY .
  • Cramér , H. , and Leadbetter , M.R. 1967 . Stationary and Related Stochastic Processes . John Wiley , NY .
  • Farahmand , K. 1991 . Real zeros of random algebraic polynomials . Proc. Amer. Math. Soc. 113 : 1077 – 1084 .
  • Farahmand , K. 1998 . Topics in Random Polynomials . Addison Wesley Longman, London .
  • Ibragimov , I.A. , and Maslova , N.B. 1971 . On the expected number of real zeros of random polynomials, coefficients with zero means . Theory Probab. Appl. 16 : 228 – 248 .
  • Kac , M. 1943 . On the average number of real roots of a random algebraic equation . Bull. Amer. Math. Soc. 49 : 314 – 320 .
  • Logan , B.F. , and Shepp , L.A. 1968 . Real zeros of random polynomials . Proc. London Math. Soc. Ser. 3 18 : 29 – 35 .
  • Logan , B.F. , and Shepp , L.A. 1968 . Real zeros of random polynomials . Proc. London Math. Soc. Ser. 3 18 : 308 – 314 .
  • Rezakhah , S. , and Shemehsavar , S. 2005 . On the average number of level crossings of certain Gaussian random polynomials . Nonlinear Anal. 63 : e555 – 567 .
  • Rezakhah , S. , and Soltani , A.R. 2000 . On the Levy and harmonizable random polynomials . Georgian Math. J. 7 ( 2 ): 379 – 386 .
  • Rezakhah , S. , and Soltani , A.R. 2003 . On the expected number of real zeros of certain Gaussian random polynomials . Stoc. Anal. Appl. 21 ( 1 ): 223 – 234 .
  • Sambandham , M. 1976 . On the real roots of the random algebraic polynomial . Indian J. Pure Appl. Math. 7 : 1062 – 1070 .
  • Sambandham , M. 1977 . On a random algebraic equation . J. Indian Math. Soc. 41 : 83 – 97 .
  • Wilkins , J.E. 1988 . An asymptotic expansion for the expected number of real zeros of a random polynomial . Proc. Amer. Math. Soc. 103 : 1249 – 1258 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.