1/f (One-Over-F) Noise (or Related Topics)
in Financial Data
stock price/index usually fluctuates as 1/f2 noise, whereas
stock volatility/trading volume fluctuates as 1/f noise.
2001
-
BJW Fleming, D Yu, RG Harrison, D Jubb (2001),
"Wavelet-based detection of coherent structures and
self-affinity in financial data",
European Physical Journal B, 20:543-546.
-
Andrew Lo
(2001),
"Fat tails, long memory, and the stock market since the 1960's",
in Economic Notes (Banca Monte dei Paschi di Siena).
-
PM Robinson (2001),
"The memory of stochastic volatility models",
Journal of Econometrics, 101(2):195-218.
2000
-
Tim Bollerslev, Jun Cai, Frank M. Song (2000),
"Intraday periodicity, long memory volatility, and
macroeconomic announcement effects in the US Treasury bond market",
Journal of Empirical Finance, 7(1):37-55.
-
P Gopikrishnan, V Plerou, X Gabaix, HE Stanley (2000),
"Statistical properties of share volume traded in
financial markets",
Physical Review E, 62:R4493-R4496.
-
Ming Liu (2000),
"Modeling long memory in stock market volatility",
Journal of Econometrics, 99(1):139-171.
1999
-
CF Baum, JT Barkoulas, M Caglayan (1999),
"Long memory or structural breaks: can either explain
nonstationary real exchange rates under the current float?",
Journal of International Financial Markets, Institutions,
and Money, 9:359-376.
-
CS Bos, PH Franses, M Ooms (1999),
"Long memoey and level shifts: re-analyzing inflation rates",
Empirical Economics, 24:427-449.
-
Andrew Lo,
A Craig MacKinlay (1999),
A Non-Random Walk Down Wall Street
(Princeton Univ Press).
[
sample texts from the publisher]
-
W Willinger,
MS Taqqu,
V Teverovsky (1999),
"Stock price return indices and long-range dependence",
Finance and Stochastics, 3:1-13.
1998
1997
-
B B Mandelbrot (1997),
Fractals and Scaling in Finance: Discountinuity, Concentration, Risk ,
(Springer-Verlag)
-
Joseph Haubrich,
Andrew Lo (1997),
"The sources and nature and long-range dependence in
the business cycle",
Working Paper LFE-97-1024 (MIT).
1996
-
Rosario N. Mantegna, H. Eugene Stanley (1996),
"Turbulence and financial markets" (Sceintific Correspondence),
Nature, 383:587-588.
1993
1991
-
Tim Bollerslev, Jonathan H Wright (2000),
"Semiparametric estimation of long-memory volatility
dependencies: the role of high-frequency data",
Journal of Econometrics, 98(1):81-106.
-
Wentian Li (1991),
"Absence of 1/f spectra in Dow Jones daily average",
International Journal of Bifurcation and Chaos, 1(3):583-597.
[ abstract]
-
Andrew Lo (1991),
"Long-term memory in stock market prices",
Econometrica, 59:1279-1313.
[ abstract]
[ PDF ]
1990