 About 5,980 results  books.google.com Thus, a process Xn is linearly nondeterministic if it is impossible to approximate
X0 with arbitrary accuracy by the linear combinations ∑ n≤−1 cnXn. A process is
linearly regular if the best approximation of X0 by the linear combinations ... 

 books.google.com 
 books.google.com G [—7T, 7r]), z()t) : [21, 7T] —> C” is a random process with orthogonal
increments, which is uniquely defined by x (t). ... (vs) In this paper we only
consider linearly regular processes, see [36] and [23], i.e. processes where the
best linear least ... 

 books.google.com The aim is to reduce a complicated process to a simpler one involving a smaller
number of parameters. The quality of the ... 1 } is a stationary linear regular
random process with Wold representation, y(t) = i>?*(r*), Aj?€R, fcjj=l. (1) k=0
Here {f ... 

 books.google.com The aim is to reduce a complicated process to a simpler one involving a smaller
number of parameters. ... 1,0,1,...} is a stationary linear regular random process
with Wold representation, ∞∑k=0 h0 k e(t − k), y(t) = h0k ∈ IR, h00 = 1. 

 books.google.com WOLD DECOMPOSITION (where the * denotes the conjugate transpose) of a
linearly regular process (yt), is called ... 3) A stationary process (yt) with a spectral
density /, which is nonsingular Aa.e., is linearly regular if and only if logdet /(A)
dX > — oo. ... [6] Rozanov, Y.A.: Stationary random processes, Holden Day, 1967
. 

 books.google.com 12.1 Discrete Random Signals 121 Random Signals and Sequences • Moment
Characterization of Stationary Random Signals 12.2 Linear Transformations 12
10 12.3 Representation of Signals as Random Vectors 1213 ... The underlying
model that represents the random sequence is known as a random process or a
stochastic process. ... Such random signals are called predictable and form a set
of processes distinct from those such as (a) and (b), which are called regular. 

 books.google.com N. A. Haslyukova The Important part in the ,22theory of random processes
belongs to the Kolmo gorov's problem [1] on a ... Here some models of linearly
regular random fields x(t)=<Xj (t)}, (rtXj(t)O, if \x (t) 1 2<a>, teRn, n»2, jeJ, a set J
can be ... 

 books.google.com l oo Such a representation is unique and is called the regular canonical
representation of the process {(f). For any finite or countable number N and any
family of measures Fk(dt), k= 1,2, ...,7V, there exists a linearlyregular random
process {(f), ... 

 books.google.com 141 6 Stochastic equations with the Markovian fluctuations of parameters 150 6.1
Telegrapher's processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 6.1.1 System of
linear operator equations . ... 194 8.1.2 Logarithmicnormal random process . 

 