- Collection:
- Atlanta University and Clark Atlanta University Theses and Dissertations
- Title:
- Real zeros of polynomials whose coefficients are independent random variables, each of which is either +1 or ~1, with equal probability, 1996
- Creator:
- Houston, Michelle L.
- Date of Original:
- 1996-05-01
- Subject:
- Degrees, Academic
Dissertations, Academic - Location:
- United States, Georgia, Fulton County, Atlanta, 33.749, -84.38798
- Medium:
- theses
- Type:
- Text
- Format:
- application/pdf
- Description:
- Suppose that the coefficients ak(k=0, 1,, n) in the polynomial of degree n,(1) f(x) = anxn + an-ix-1 + + aix + a0, are independent random variables, each of which is either +1 or -1 with equal probability. Then the number, N = N (f) , of real zeros of f(x) is a random variable. We will determine the mean, vn, and the variance, an2, of N when n = 1(1)6.
- External Identifiers:
- Metadata URL:
- http://hdl.handle.net/20.500.12322/cau.td:1996_houston_michelle_l.pdf
- Rights Holder:
- Clark Atlanta University
- Holding Institution:
- Atlanta University Center Robert W. Woodruff Library
- Rights:
-
