共查询到20条相似文献,搜索用时 15 毫秒
1.
Monitoring process variability using auxiliary information 总被引:2,自引:1,他引:1
Muhammad Riaz 《Computational Statistics》2008,23(2):253-276
In this study a Shewhart type control chart namely V
r
chart is proposed for improved monitoring of process variability (targeting large shifts) of a quality characteristic of
interest Y. The proposed control chart is based on regression type estimator of variance using a single auxiliary variable X. It is assumed that (Y, X) follow a bivariate normal distribution. The design structure of V
r
chart is developed and its comparison is made with the well-known Shewhart control chart namely S
2 chart used for the same purpose. Using power curves as a performance measure it is observed that V
r
chart outperforms the S
2 chart for detecting moderate to large shifts, which is main target of Shewhart type control charts, in process variability
under certain conditions on ρ
yx
. These efficiency conditions on ρ
yx
are also obtained for V
r
chart in this study. 相似文献
2.
Shiquan WU 《应用数学学报(英文版)》1996,12(4):377-383
Letn, s
1,s
2, ... ands
n
be positive integers. Assume
is an integer for eachi}. For
,
, and
, denotes
p
(a)={j|1jn,a
j
p},
, and
.
is called anI
t
p
-intersecting family if, for any a,b
,a
i
b
i
=min(a
i
,b
i
)p for at leastt i's.
is called a greedyI
t
P
-intersecting family if
is anI
t
p
-intersecting family andW
p
(A)W
p
(B+A
c
) for anyAS
p
(
) and any
with |B|=t–1.In this paper, we obtain a sharp upper bound of |
| for greedyI
t
p
-intersecting families in
for the case 2ps
i
(1in) ands
1>s
2>...>s
n
.This project is partially supported by the National Natural Science Foundation of China (No.19401008) and by Postdoctoral Science Foundation of China. 相似文献
3.
4.
Koji Momihara 《Designs, Codes and Cryptography》2007,45(3):379-390
A conflict-avoiding code (CAC) C of length n and weight k is a collection of k-subsets of such that holds for any , , where . A CAC with maximum code size for given n and k is called optimal. Furthermore, an optimal CAC C is said to be tight equi-difference if holds and any codeword has the form . The concept of a CAC is motivated from applications in multiple-access communication systems. In this paper, we give a
necessary and sufficient condition to construct tight equi-difference CACs of weight k = 3 and characterize the code length n’s admitting the condition through a number theoretical approach.
相似文献
5.
Recently, B. Chow and R.S. Hamilton [3] introduced the cross curvature flow on 3-manifolds. In this paper, we analyze two
interesting examples for this new flow. One is on a square torus bundle over a circle, and the other is on a S2 bundle over a circle. We show that the global flow exists in both cases. However, on the former the flow diverges at time
infinity, and on the latter the flow converges at time infinity.
Mathematics Subject Classification (1991) 53C44 相似文献
6.
We can consider the Riemann-Stieltjes integral dg as an integral of a point function f with respect to an interval function g. We could extend it to the Henstock-Stieltjes integral. In this paper, we extend it to a generalized Stieltjes integral dg of a point function f with respect to a function g of divisions of an interval. Then we prove for this integral the standard results in the theory of integration, including
the controlled convergence theorem.
相似文献
7.
G. G. Laptev 《Mathematical Notes》1998,64(4):488-495
We study an initial boundary value problem for the semilinear parabolic equation
where the left-hand side is a linear uniformly parabolic operator of order 2b. We prove sufficient growth conditions on the functionƒ with respect to the variablesu, Du,, D
2b–1
u, such that the apriori estimate of the norm of the solution in the Sobolev spaceW
p
2b,1
is expressible in terms of the low-order norm in the Lebesgue space of integrable functionsL
l,m
.Translated fromMatematicheskie Zametki, Vol. 64, No. 4, pp. 564–572, October, 1998.In conclusion, the author wishes to thank his scientific adviser, corresponding member of the Russian Academy of Sciences S. I. Pokhozhaev, for setting the problem and useful discussions of the results, and also Ya. Sh. Il'yasov for valuable remarks.This research was supported by the Russian Foundation for Basic Research under grant No. 96-15-96102. 相似文献
8.
Yasunori Fujikoshi 《Journal of multivariate analysis》1997,61(2):187-193
In this paper we obtain an asymptotic expansion for the distribution of Hotelling'sT2-statisticT2under nonnormality when the sample size is large. In the derivation we find an explicit Edgeworth expansion of the multivariatet-statistic. Our method is to use the Edgeworth expansion and to expand the characteristic function ofT2. 相似文献
9.
We introduce the concept of a Jackson integral of type BC
1 which is a q-series permitting Weyl group symmetry. Using this, we give a simple proof of transformation formulas for a very-well-poised-balanced
2r
ψ
2r
hypergeometric series discovered by Sears and Slater.
This work was supported in part by Grant-in-Aid for Scientific Research (C) No. 17540034 from the Ministry of Education, Culture,
Sports, Science and Technology, Japan. 相似文献
10.
In the univariate case it is well known that the one sided t test is uniformly most powerful for the null hypothesis against all one sided alternatives. Such a property does not easily extend to the multivariate case. In this paper, a test derived for the hypothesis that the mean of a vector random variable is zero against specified alternatives, when the covariance matrix is unknown. This test depends on the given alternatives and is more powerful than Hotelling's T2. The results are derived both for real and complex vector observations and under normal and spherical distributions. The properties of the proposed tests are investigated in detail when a single alternative is specified. 相似文献
11.
We first introduce a new trigonometric method of summation and then prove some Abelian and Tauberian theorems for this method. 相似文献
12.
Lizheng Lu 《Applied mathematics and computation》2012,218(12):6987-6990
In the paper [A. Rababah, S. Mann, Iterative process for G2-multi degree reduction of Bézier curves, Applied Mathematics and Computation 217 (2011) 8126-8133], Rababah and Mann proposed an iterative method for multi-degree reduction of Bézier curves with C1 and G2-continuity at the endpoints. In this paper, we provide a theoretical proof for the existence of the unique solution in the first step of the iterative process, while the proof in their paper applies only in some special cases. Also, we give a complete convergence proof for the iterative method. We solve the problem by using convex quadratic optimization. 相似文献
13.
Dither is a high-frequency signal introduced into a nonlinear system to improve the system performance. A nonlinearity with memory (backlash, hysteresis) is considered in this paper; a dither of a given amplitude is being injected at the input of the nonlinearity. The dither can effectively eliminate memory of the nonlinearity. The significance of the dither frequency lies in its effect on the deviation of the dithered system from its corresponding model, the smoothed system, in which the nonlinearity is a smooth function. The deviation amount can be improved as the dither frequency increases. If the dither has a sufficiently high frequency, the outputs of the smoothed system and the dithered system can be made as close as desired. This enables us to predict the stability of the dithered system by establishing the stability of the smoothed system. 相似文献
14.
15.
Ferenc Móricz 《Acta Mathematica Hungarica》2008,120(4):355-366
We introduce the higher order Lipschitz classes Λ
r
(α) and λ
r
(α) of periodic functions by means of the rth order difference operator, where r = 1, 2, ..., and 0 < α ≦ r. We study the smoothness property of a function f with absolutely convergent Fourier series and give best possible sufficient conditions in terms of its Fourier coefficients
in order that f belongs to one of the above classes.
This research was supported by the Hungarian National Foundation for Scientific Research under Grant T 046 192. 相似文献
16.
ZuoLIU ZhenDeWU 《数学学报(英文版)》2005,21(2):409-412
Let J.^r ,k denote the ideal in MO. of cobordism classes containing a representative that admits (Z2)^k-actions with a fixed point set of constant codimension r. In this paper we determine J,k^2k 2 and Ja,3^2^3 1. 相似文献
17.
Special generators of the unoriented cobordism ringMO
* are constructed to determine the groupsJ
n,κ
r
ofn-dimensional cobordism classes inMO
n containing a representativeM
n admitting a (Z
2)
k
-action with fixed point set of constant codimension.
This work is supported by HNSF 相似文献
18.
Guangxiang Su 《Annals of Global Analysis and Geometry》2007,31(2):181-211
We study the delocalized L
2-analytic torsion introduced by John Lott, and define the delocalized L
2-combinatorial torsion. By using the method of Bismut–Zhang, under the conditions of positive Novikov–Shubin invariants and
finite conjugacy class, we get the Cheeger–Müller type relation between the delocalized L
2-analytic torsion and the delocalized L
2-combinatorial torsion.
相似文献
19.
A new series representation of the exact distribution of Hotelling's generalized T02 statistic is obtained. Unlike earlier work, the series representation given here is everywhere convergent. Explicit formulae are given for both the null and the non-central distributions. Earlier results by [1], 215–225), which are convergent on the interval [0, 1), are also derived quite simply from our formulae. The paper therefore provides a solution to the long standing problem of the exact distribution of the T02 statistic in the general case. 相似文献
20.
M. R. Pinheiro 《Optimization Letters》2009,3(1):1-6
In this revisional article, we criticize (strongly) the use made by Medar et al., and those whose work they base themselves
on, of the name ‘convexity’ in definitions which intend to relate to convex functions, or cones, or sets, but actually seem
to be incompatible with the most basic consequences of having the name ‘convexity’ associated to them. We then believe to
have fixed the ‘denominations’ associated with Medar’s (et al.) work, up to a point of having it all matching the existing
literature in the field [which precedes their work (by long)]. We also expand his work scope by introducing s
1-convexity concepts to his group of definitions, which encompasses only convex and its proper extension, s
2-convex, so far. This article is a long version of our previous review of Medar’s work, published by FJMS (Pinheiro, M.R.:
S-convexity revisited. FJMS, 26/3, 2007). 相似文献