Index

A, B, C

  • affinely independent
  • approximation of
    • fBm
      • absolute continuous, 164
      • by semimartingales, 157
      • by series of integrals, 153
      • multifractional Brownian motion, 171
  • beta function, 182
  • binomial coefficient, 187
  • Brownian motion, 196
    • fractional, 2
  • Chebyshev center, 34
  • Cholesky decomposition, 32, 240
  • circulant
  • circumcenter, 205
  • circumsphere, 206
  • constrained least squares, 208
  • criterion function, 34

D, E, F

  • deflate step, 228
  • digamma function, 182
  • Euler
    • constant, 182
    • integral of the first kind, 182
    • reflection formula, 181
  • feasible point, 214
  • filtration, 195
  • fractional
    • Brownian motion, 2
      • discrete-time, 31
    • calculus, 198
    • derivative, 198
    • Gaussian noise, 240
    • integral, 198
  • fully constrained least squares, 209

G, H, I

  • gamma function, 181
  • Gauss formula, 182
  • Gaussian process, 196
  • Hosking method, 242
  • Hurst index, 2
  • inequality
    • Burkholder–Davis–Gundy, 197
    • Garsia–Rodemich–Rumsey, 194
  • integral
    • fractional, 198
    • generalized Lebesgue–Stieltjes, 199
    • Wiener, 196

L, M, P, R

  • Legendre formula, 181
  • Mandelbrot–Van Ness representation, 3
  • martingale, 196
  • Molchan
    • kernel, 3
    • representation, 3
  • multifractional
    • Brownian motion, 171
  • principal functional, 2
  • profile, 214
  • Riemann zeta function, 184
  • Riemann–Liouville process, 51

S, T, W

  • self-similar, 2
  • semimartingale, 196
  • “similar” functions, 118
  • Simpson formula, 125
  • slope function, 191
  • stochastic process, 195
  • sum-constrained constrained least
  • sum-constrained least squares
  • tetragamma function, 182
  • theorem
    • Hahn–Banach, 193
    • Karush–Kuhn–Tucker, 225
    • on normal correlation, 195
  • trigamma function, 182
  • Weyl representation, 199
  • Wiener
..................Content has been hidden....................

You can't read the all page of ebook, please click here login for view all page.
Reset
3.15.237.255