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1
Advances on Theoretical and Methodological Aspects of ...
Definition 3.1.6 The spectral bimeasure of a weakly harmonizable process, Xt, is
the positive semi-definite bimeasure, FX(-,-) in (3.1.1). A weakly harmonizable
random process is strongly harmonizable iff its spec: tral bimeasure extends to a
...
2
Stochastic Processes and Functional Analysis: A Volume of ...
Classes. of. Harmonizable. Isotropic. Random. Fields. Randall J. Swift
Department of Mathematics California State Polytechnic University Pomona, CA
91768 Dedicated to Professor M.M. Rao advisor, colleague and dear friend
Abstract The ...
Alan C. Krinik, Randall J. Swift, 2004
3
Stable Non-Gaussian Random Processes: Stochastic Models with ...
Example 6.5.2 The complex-valued harmonizable process considered in
Example 6.3.6, {H(t) = /^ ettxM(dx), t 6 R}, is stationary because the complex
random measure M in that example is isotropic. Remark. In the proof of Theorem
6.5.1, we ...
Gennady Samoradnitsky, M.S. Taqqu, 1994
4
Stochastic Processes and Functional Analysis: In Celebration ...
The area of harmonizable processes is now suitable for analysis by extending (
nontrivially) many results from the stationary case. Some applications of these
processes were considered in studies begining with J. Kelsh (1978), and
continuing ...
Jerome Goldstein, Neil Gretsky, John Uhl, 1997
5
Statistical Tests for Stationarity Within the Framework of ...
Corresponding statistics obtained from a sample of the time series are derived which provide a basis for testing the stationarity hypothesis.
N. R. Goodman, ROCKETDYNE CANOGA PARK CALIF., 1965
6
Stochastic Processes: Inference Theory
These important properties are lost for harmonizable and other nonstationary
processes. Here typically the spectral functions are complex valued and involve
two variables. It is thus necessary that one should have more observations and, ...
7
Generalizations of Cyclostationary Signal Processing: ...
In the following, the second-order spectral characterization is made resorting to
the Lo`eve bifrequency spectrum. Definition 2.2.21 Let{x(t), t ∈ R}be a complex-
valued second-order harmonizable stochastic process. The Lo`eve bifrequency ...
8
Stochastic Processes: Theory and Methods
Bimeasures and sampling theorems for weakly harmonizable processes.
Stochastic Anal. Appl. 1. 21-55. Chang. D. K. and M. M. Rao (1986). Bimeasures
and nonstationary processes. In Real aid Stochastic Analysis (Ed., M. M. Rao), pp
. 7118 ...
D. N. Shanbhag, Calyampudi Radhakrishna Rao, 2001
9
Probability Theory with Applications
{Xt,t G R} C L2(P) with means Zero and covariance r is termed Loeye (or strongly)
harmonizable [introduced by Loeve in an appendix to Levy's book (1948)] if 118,
15): AR/Rei8A'm/F(d>\,d)\'), s,tGR, (3) (the two dimensional Lebesgue integral) ...
Malempati M. Rao, Randall J. Swift, 2006
10
Periodically Correlated Random Sequences: Spectral Theory ...
I 5.2 HARMONIZABLE SEQUENCES Here we introduce harmonizable
sequences and present their basic properties. The study of harmonizable
processes was started by Loéve in 1948 [138] and subsequently by Cramér [36].
The weaker ...
Harry L. Hurd, Abolghassem Miamee, 2007
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «HARMONIZABLE»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
harmonizable w wiadomościach.
The Reemergence of German Dominance in Europe
... the greater battle to harmonize the "un-harmonizable" -- sixteen vastly differing Eurozone economies -- is the far bigger story. Of even greater ... «American Thinker, Maj 10»
