共查询到20条相似文献,搜索用时 31 毫秒
1.
D. V. Gusak 《Ukrainian Mathematical Journal》1990,42(10):1257-1261
For an oscillating process z(t) (z(0)=2,t0), which is defined with the help of two homogeneous processes 1(t) and 2(t) with independent increments and nondegemerate Wiener components, under certain restrictions we establish a relation of the form and find the characteristic function of the ergodic distribution of the process considered.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 10, pp. 1415–1421, October, 1990. 相似文献
2.
B. Barabás 《Periodica Mathematica Hungarica》1987,18(2):115-122
The properties of the empirical density function,f
n(x) = k/n(
j
+
–
j-1
+
) if
j-1
+
< x + where
j-1
+
and
j
+
are sample elements and there are exactlyk – 1 sample elements between them, are studied in that practical point of view how to choose a suitablek for a good estimation. A bound is given for the expected value of the absolute value of difference between the empirical and theoretical density functions. 相似文献
3.
We give a classification of 3—dimensional conformally flat contact metric manifolds satisfying: =0(=L
g) orR(Y, Z)=k[(Z)Y–(Y)Z]+[(Z)hY]–(Y)hZ] wherek and are functions. It is proved that they are flat (the non-Sasakian case) or of constant curvature 1 (the Sasakian case). 相似文献
4.
5.
This paper investigates the properties of (0) optimal policies in the model of [2]. It is shown that, if * = (
0
*
,
1
*
,...,
n
*
,
n
+1/*
, ...) is a-discounted optimal policy, then (
0
*
,
1
*
, ...,
n
*
) for alln0 is also a-discounted optimal policy. Under some condition we prove that stochastic stationary policy
n
*
corresponding to the decision rule
n
*
is also optimal for the same discounting factor. We have also shown that for each-optimal stochastic stationary policy
0
*
,
0
*
can be decomposed into several decision rules to which the corresponding stationary policies are also-optimal separately; and conversely, a proper convex combination of these decision rules is identified with the former
0
*
. We have further proved that for any (,)-optimal policy, say *=(
0
*
,
1
*
, ...,
n
*
,
n
+1/*
, ...),
n–1
*
) is ((1–
n
)–1
e, ) optimal forn>0. At the end of this paper we mention that the results about convex combinations and decompositions of optimal policies of § 4 in [1] can be extended to our case.Project supported by the Science Fund of the Chinese Academy of Sciences. 相似文献
6.
Prof. H. O. Cordes 《manuscripta mathematica》1979,28(1-3):51-69
Two algebras of global pseudo-differential operators over n are investigated, with corresponding classes of symbols A0=CB (all (x, )-derivatives bounded over 2n), and A1 (all finite applications of xj, j, and pq=pq–pxp on the symbol are in A0). The class A1 consists of classical symbols, i.e.,
x
a= 0((1+||)–||) for x Kc ;n, K, compact. It is shown that a bounded operator A of 210C=L2(Rn) is a pseudo-differential operator with symbol aAj if and only if the map AG–1AG, G gj is infinitely differentiable, from a certain Lie-group gj c GL(210C) to (210C) with operator norm. g0 is the Weyl (or Heisenberg) group. Extensions to operators of arbitrary order are discussed. Applications to follow in a subsequent paper.Dedicated to Hans Lewy and Charles B. Morrey, Jr. 相似文献
7.
Characterization theorem of generalized polynomial of best approximation having bounded coefficients
Shusheng Xu 《应用数学学报(英文版)》1989,5(4):361-366
Let the set of generalized polynomials having bounded coefficients beK={p=
jgj.
j
j
j,j=1, 2, ...,n}, whereg
1,g
2, ...,g
n are linearly independent continuous functions defined on the interval [a, b],
j,
j are extended real numbers satisfying
j<+,
j>-, and
j
j. Assume thatf is a continuous function defined on a compact setX [a, b]. This paper gives the characterization theorem forp being the best uniform approximation tof fromK, and points out that the characterization theorem can be applied in calculating the approximate solution of best approximation tof fromK. 相似文献
8.
A. V. Pazhitnov 《K-Theory》1996,10(4):323-412
Let M be a closed connected smooth manifold with dim M=n6, and :
1(M) Z be an epimorphism. Denote by the group ring of
1(M) and let
–
be its Novikov completion. Let D
* be a free-based finitely generated chain complex over
–
. Assume that D
ii=0 for i1 and in–1 and that D
* has the same simple homotopy type as the Novikov-completed simplicial chain complex of the universal covering M. Let N be an integer. We prove that D
* can be realized, up to the terms of
–
of degree N as the Novikov complex of a Morse map : M S
1, belonging to . Applications to Arnold's conjectures and to the theory of fibering of M over S
1 are given. 相似文献
9.
B. A. Sevast'yanov 《Mathematical Notes》1968,3(4):247-251
Conditions are found which must be imposed on a function g(x) in order that M g(1+2+ + v < if M g(i) < and M g(v) < ,, 1, 2, , n, ... being non-negative and independent, being integral, and {i} being identically distributed. The result is applied to the theory of branching processes.Translated from Matematicheskie Zametki, Vol. 3, No. 4, pp. 387–394, April, 1968. 相似文献
10.
Michael Falk 《Annals of the Institute of Statistical Mathematics》1995,47(4):693-717
Consider an iid sampleZ
1,...,Z
n
with common distribution functionF on the real line, whose upper tail belongs to a parametric family {F
: }. We establish local asymptotic normality (LAN) of the loglikelihood process pertaining to the vector(Z
n–i+1n
)
i=1
k
of the upperk=k(n)
n order statistics in the sample, if the family {F
:} is in a neighborhood of the family of generalized Pareto distributions. It turns out that, except in one particular location case, thekth-largest order statisticZ
n–k+1n
is the central sequence generating LAN. This implies thatZ
n–k+1n
is asymptotically sufficient and that asymptotically optimal tests for the underlying parameter can be based on the single order statisticZ
n–k+1n
. The rate at whichZ
n–k+1n
becomes asymptotically sufficient is however quite poor. 相似文献
11.
Henry Berbee 《Probability Theory and Related Fields》1981,56(4):531-536
Summary Let S
n
=
1+...+
n
, n1, be the partial sums of stationary, dependent random variables in
m
. The probability space can be partitioned into I
t
I
r
, where I
t
= {S
n} and I
r
={each S
n
is limit point of (S
n)n1}. This result follows from the inclusion{S
n
> for n>0}I
t
a.s., which is obtained by using Kac's inequality. 相似文献
12.
Let (x, ) and (x,) be two functions,x[a, b] and {
j
}
j=1
and {
j
}
j=1
be two sequences where
i
j
and
i
j
whenij. We define the vector spacesU
k
=span{(x,
j
)}
j=1
k
andV
k
=span{(x,
j
)}
j=1
k
where we assume thatdim(U
k
)=dim(V
k
)=k,k1. We then look for the generalized polynomialsp
m
xU
m+1\U
m
so that
a
b
p
m
(x)(x,
j
)d(x)=0,j=1,2,...,m. If such generalized polynomials exist for allm1 we say that {p
m
}
m=1
is a dual-orthogonal polynomial sequence from {(x,
j
)}
j=1
to {(x,
j
)}
j=1
with respect to the distribution (x),x[a, b]. In this article we present existence theorems for dual-orthogonal polynomials, explicit formulae forp
m(x), theorems about the zeros ofp
m(x), and, in the end, a Gauss-type quadrature formula for dual-orthogonal polynomials. 相似文献
13.
For any stable distribution on the line, recurrence-transience of the selfsimilar additive process {X
t
,t0} with (X
1)= is determined. Comparison with the stable Lévy process {Y
t
,t0} with (Y
1)= is made: if is not strictly stable, then {Y
t
} is transient but {X
t
} is recurrent except the obviously transient case of monotone sample functions. 相似文献
14.
V. I. Masol 《Journal of Mathematical Sciences》1993,67(4):3210-3215
Let Js={j1, ..., js} be a collection of nonnegative numbers, j1+...+js=n, js1, R(Js) be the set of sequencesf=(f(1), ...,f(n)) in each of which the integer m occurs js times. Randomly and equiprobably one chooses a sequence f from R(Js). Let n,r be the number of r-drops in f; n be the r-principal index off. Local limit theorems are established in this paper for the random variables n,r and n as n .Translated from Teoriya Sluchainykh Protsessov, No. 16, pp. 61–66, 1988. 相似文献
15.
LetR be a ring with unit and invariant basis property. In [1], the authors define a functorK(_;R):TOP/LIP
c-LPEP by combining the open cone construction of [7] with a geometric module construction and show this functor is a homology theory. This paper shows that if attention is restricted to objects TOP/LIP
c with a homotopy colimit structure, then the functorK(_;R) is a Quinn homology theory, In particular, for each having a homotopy colimit structure,K(;R) is a homotopy colimit in the category of -spectra. Furthermore, the constituent spectra of this homotopy colimit are obtained naturally from the fibres of .Partially supported by the National Science Foundation under grant number DMS88-03148.Partially supported by the SNF (Denmark) under grant number 11-7792. 相似文献
16.
N. E. Bobrov 《Journal of Mathematical Sciences》1991,53(6):626-628
The probabilityp()=P{–<) is used as a characteristic of homogeneity of the system (, ) of independent identically distributed random variables. We consider some estimation methods of this characteristic and a method of classification of observations minimizing the between-class dissimilarity measure.Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, pp. 120–123, 1986. 相似文献
17.
Ferenc Weisz 《Analysis Mathematica》1992,18(2):153-166
18.
U. A. Akramov 《Journal of Mathematical Sciences》1992,59(6):1137-1142
Let M be the complete module of a purely real algebraic field of degree n 3, let be a lattice in this module, and let F(X) be its form. We use to denote any lattice for which we have = , where is a nondiagonal matrix for which – I . With each lattice we can associate a factorizable formF
(X) in a natural manner. We denote the complete set of forms corresponding to the set {} by {F
(X)}. It is proved that for any > 0 there exists an > 0 such that for eachF
(X) {F
} we have |F
(X0)| for some integer vector X0 0.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 185, pp. 5–12, 1990.In conclusion, the author would like to express his deep gratitude to B. F. Skubenko for stating the problem and for his constant attention. 相似文献
19.
H. Andréka 《Algebra Universalis》1991,28(1):12-25
LetR(, , ¦) denote the class of all algebras isomorphic to ones whose elements are binary relations and whose operations are union, intersection, and relation composition (or relative product) of relations. We prove thatR(, , ¦) is not a variety and is not finitely axiomatizable. LetDLOS denote the class of all structures (A, , , ) where (A, , ) is a distributive lattice, (A, ) is a semigroup and is additive w.r.t. . We prove thatDLOS is the variety generated byR(, , ¦), and moreover, if (A, , , ) DLOS then it is representable whenever we disregard one of its operations.Presented by Boris M. Schein.Research supported by Hungarian National Foundation for Scientific Research grant No. 1810. 相似文献
20.
Karl Dilcher 《Aequationes Mathematicae》1994,48(1):55-85
Summary We study a class of generalized gamma functions
k
(z) which relate to the generalized Euler constants
k
(basically the Laurent coefficients of(s)) as (z) does to the Euler constant. A new series expansion for
k
is derived, and the constant term in the asymptotic expansion for log
k
(z) is studied in detail. These and related constants are numerically computed for 1 k 15. 相似文献