EXPECTED NUMBER OF REAL ZEROS OF A CLASS OF RANDOM HYPERBOLIC POLYNOMIAL
EXPECTED NUMBER OF REAL ZEROS OF A CLASS OF RANDOM HYPERBOLIC POLYNOMIAL
Let y 1 (ω), y 2 (ω), . . ., y n (ω) be independent and normally distributed random variables with mean zero and variance one.For large values of n, it is proved that the the expected number of times the random hyperbolic polynomial y 1 (ω)sinht + y 2 …