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1.
For the general fixed effects linear model:Y=X+, N(0,V),V0, we obtain the necessary and sufficient conditions forLY+a to be admissible for a linear estimable functionS in the class of all estimators under the loss function (d -S)D(d -S), whereD0 is known. For the general random effects linear model:
=XV
11
X+XV
12+V
21
X+V
220, we also get the necessary and sufficient conditions forLY+a to be admissible for a linear estimable functionS+Q in the class of all estimators under the loss function (d -S -Q)D(d -S -Q), whereD0 is known. 相似文献
2.
I. I. Viktorova 《Mathematical Notes》1969,5(3):184-191
An equiprobable polynomial scheme is considered with N outcomes and n independent trials. For n/N In N the asymptotic distribution is studied of the quantity =
, where is the number of occurrences of the i-th outcome.Translated from Matematicheskie Zametki, Vol. 5, No. 3, pp. 305–316, March, 1969. 相似文献
3.
Christian Krattenthaler 《Monatshefte für Mathematik》1989,107(4):333-339
We give a combinatorial proof that
is a polynomial inq with nonnegative coefficients for nonnegative integersa, b, k, l withab andlk. In particular, fora=b=n andl=k, this implies theq-log-concavity of the Gaussian binomial coefficients
, which was conjectured byButler (Proc. Amer. Math. Soc. 101 (1987), 771–775). 相似文献
4.
Michael D. Boshernitzan 《Inventiones Mathematicae》1993,113(1):617-631
Summary LetX be a probability measure spaceX=(X, , ) endowed with a compatible metricd so that (X,d) has a countable base. It is well-known that ifTXX is measure-preserving, then -almost all pointsxX are recurrent, i.e.,
. We show that, under the additional assumption that the Hausdorff -measureH
(X) ofX is -finite for some >0, this result can be strengthened:
, for -almost all pointsxX. A number of applications are considered.Oblatum 24-II-1992 & 8-II-1993Supported in part by NSF-DMS-9003450 相似文献
5.
A. F. Sidorenko 《Combinatorica》1989,9(2):207-215
We consider the problem of finding ex (n; G), defined as the maximal number of edges anr-graph onn vertices can have that contains no subgraph isomorphic toG. We construct certainr-graphsG for which we find the coefficient(G) of the asymptotic expansion ex(n;G)==
asn. 相似文献
6.
V. M. Tsvetkov 《Journal of Mathematical Sciences》1999,95(2):2161-2163
It is proved that the rational number field has one, and only one, normal 2-extension (2, t8)/with group isomorphic to
.If is the maximal subfield of a real-closed field, which does not contain
,then the algebraic closure
of is isomorphic to the field
.Bibliography: 7titles.Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 236, 1997, pp. 192–196. 相似文献
7.
Thomas Stehling 《Combinatorica》1992,12(4):475-479
We consider the numberN
A
(r) of subgroups of orderp
r
ofA, whereA is a finite Abelianp-group of type =1,2,...,
l
()), i.e. the direct sum of cyclic groups of order ii. Formulas for computingN
A
(r) are well known. Here we derive a recurrence relation forN
A
(r), which enables us to prove a conjecture of P. E. Dyubyuk about congruences betweenN
A
(r) and the Gaussian binomial coefficient
. 相似文献
8.
Suppose that is a trigonometric polynomial of the form (z) = Nn=-N an zn. It is well-known that T is normal if and only if | a– N| = | aN| and the Fourier coefficients of satisfy the following symmetry condition:
In this paper we provide a complete criterion for hyponormality of T when satisfies a partial symmetry condition:
相似文献
9.
Andreas Weiermann 《Archive for Mathematical Logic》1995,34(5):313-330
Let T() be the ordinal notation system from Buchholz-Schütte (1988). [The order type of the countable segmentT()0 is — by Rathjen (1988) — the proof-theoretic ordinal the proof-theoretic ordinal ofACA
0 + (
1
l
–TR).] In particular let
a
denote the enumeration function of the infinite cardinals and leta 0
a denote the partial collapsing operation on T() which maps ordinals of T() into the countable segment T
0 of T(). Assume that the (fast growing) extended Grzegorczyk hierarchy
and the slow growing hierarchy
are defined with respect to the natural system of distinguished fundamental sequences of Buchholz and Schütte (1988) in the following way:
相似文献
10.
Dr. P. Michor 《Monatshefte für Mathematik》1976,82(3):177-186
The following notion of duality is studied: IfG is a contravariant functor on Ban, then
. We derive the following results: Thex-reflexive functors are exactly the maximal subfunctors ofH(.,A) with reflexiveA, G
x
isx-reflexive if and only ifG(I) is a reflexive Banach space,G
x=(Ge)x, andG
x(X)=Ge(X) ifX has the metric approximation property. the last result has the consequence that for the tensor product of functors
holds, ifX has the m. A. P.
Dedicated to Prof. Dr. E. Hlawka on the occasion of his 60th birthday 相似文献
11.
In this paper we consider the weakly coupled elliptic system with critical growth
12.
V. M. Khrapchenko 《Mathematical Notes》1971,9(1):21-23
It is proved that the linear function gn(x1,..., xn) = x1 + ... + xnmod 2 is realized in the class of II-circuits with complexity L(gn) n2. Combination of this result with S. V. Yablonskii's upper bound yields L(gn)
n2.Translated from Matematicheskie Zametki, Vol. 9, No. 1, pp. 35–40, January, 1971. 相似文献
13.
In this paper we show that if X is an s-distance set in
m
and X is on
p concentric spheres then
Moreover if
X is antipodal, then
. 相似文献
14.
An ergodic action a of the direct product of and
, not isomorphic to a product of actions of and G, is constructed, such that the actions of and G separately are not ergodic. The actions of on its ergodic components are metrically isomorphic if and only if these components are taken into one another by the action of G. Finally, the centralizerC
(×G) is such thatC
(×G)/(×G)2.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 5, pp. 684–688, May, 1991. 相似文献
15.
Menachem Kojman 《Archive for Mathematical Logic》1995,34(4):263-268
A self contained proof of Shelah's theorem is presented: If is a strong limit singular cardinal of uncountable cofinality and 2 > + then
. 相似文献
16.
The boundedness below of 2×2 upper triangular operator matrices 总被引:2,自引:0,他引:2
Wen
and
are given we denote byM
C
an operator acting on the Hilbert space
of the form
17.
A 0–1probability space is a probability space (, 2,P), where the sample space -{0, 1}
n
for somen. A probability space isk-wise independent if, whenY
i
is defined to be theith coordinate or the randomn-vector, then any subset ofk of theY
i
's is (mutually) independent, and it is said to be a probability spacefor p
1,p
2, ...,p
n
ifP[Y
i
=1]=p
i
.We study constructions ofk-wise independent 0–1 probability spaces in which thep
i
's are arbitrary. It was known that for anyp
1,p
2, ...,p
n
, ak-wise independent probability space of size
always exists. We prove that for somep
1,p
2, ...,p
n
[0,1],m(n,k) is a lower bound on the size of anyk-wise independent 0–1 probability space. For each fixedk, we prove that everyk-wise independent 0–1 probability space when eachp
i
=k/n has size (n
k
). For a very large degree of independence —k=[n], for >1/2- and allp
i
=1/2, we prove a lower bound on the size of
. We also give explicit constructions ofk-wise independent 0–1 probability spaces.This author was supported in part by NSF grant CCR 9107349.This research was supported in part by the Israel Science Foundation administered by the lsrael Academy of Science and Humanities and by a grant of the Israeli Ministry of Science and Technology. 相似文献
18.
L. P. Yushchenko 《Ukrainian Mathematical Journal》2000,52(12):1956-1963
We prove the existence of a function fcontinuous and convex on [–1, 1] and such that, for any sequence {p
n}
n= 1
of algebraic polynomials p
nof degree nconvex on [–1, 1], the following relation is true:
, where 4(t, f) is the fourth modulus of continuity of the function fand
. We generalize this result to q-convex functions. 相似文献
19.
We consider here a class of nonlinear Dirichlet problems, in a bounded domain , of the form
20.
P. Frankl 《Graphs and Combinatorics》1990,6(3):223-227
LetA, B, C be disjointk-element sets. It is shown that if a 2k-graph onn vertices contains no three edges of the formA B, A C, B C then it has at most
edges. Moreover, this is essentially best possible. 相似文献
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