共查询到20条相似文献,搜索用时 15 毫秒
1.
A method for constructing some new incomplete split-block designs with desirable properties is given. The new class of the designs is characterized with respect to the general balance property. Moreover, the efficiency factors of the designs proposed are given.Received: July 2003 / Revised: November 2003 相似文献
2.
R. A. Bailey 《Metrika》2005,62(2-3):161-173
A resolvable incomplete-block design in three replicates is abstractly equivalent to a design for three factors whose effects
are additive, but the efficiency factors for the two designs are not the same. Six families of known designs of the second
type are used to construct designs of the first type. 相似文献
3.
For all integers m≥6, we determine the maximum value of det X T X, where X is an m×6 (0, 1)-matrix, and exhibit (D-optimal) matrices X for which the maximum occurs. For D-optimal matrices X, the uniqueness of the Gram matrix X T X is discussed. Received: May 2000 相似文献
4.
In this paper, a balanced incomplete split-block design (BISBD) is shown to be universally optimum for the estimation of
the interaction effects with respect to each of the intra-plot stratum estimation and the GLSE. Furthermore, the efficiency
factor of an optimal design is investigated. 相似文献
5.
Characterization of normal distribution related to two samples based on second conditional moments has been obtained. This characterization has been transformed to a characterization based on the UMVU estimators of the density function. These results are generalized to k samples from normal distributions. Finally applications of these characterization results to goodness-of-fit test are discussed. 相似文献
6.
Characterization and construction of optimal designs using the familiar optimality criteria, for example A-, D- and E-optimality
are well studied in the literature. However the study of the Distance Optimality (DS-) criterion introduced by Sinha (1970)
has very recently drawn attention of researchers. In the present article, we consider the singularly estimable full rank problem
of estimating the full set of elementary treatment contrasts using the DS optimality criterion in the set up of a one way
ANOVA model. Using a limit argument it turns out that a CRD in which difference between any two allocation numbers is at the
most unity is uniquely DS-optimal.
Acknowledgement. We are thankful to Prof. B. K. Sinha for suggesting the problem to us and many helpful discussions with him. We are also
thankful to the referees for drawing our attention to the reference of Bischoff (1995) and many helpful comments. 相似文献
7.
One important class of screening designs is the search design first proposed by Srivastava (1975). A new class of two-level
factorial search designs which are capable of estimating all main-effect plus two interactions is provided. We first give
a necessary and sufficient condition for the main-effect plus two plan and then show that the proposed search design always
satisfies such a condition.
Received October 2000 相似文献
8.
B. Heiligers 《Metrika》1991,38(1):377-381
Summary We give a simple proof for the well known result that a block design (for an additive, fixed effects block model withv treatments inb blocks) is connected iff its ℰ-matrix has rankv-1. 相似文献
9.
The theory of unimodular matrices has been applied to deriveD-optimal main effect plans fors
1 ×s
2 factorials ins
1 +s
2 runs. Plans with highA-efficiency have also been given. 相似文献
10.
In this note, a class of Pareto distributions is characterized based on the Shannon entropy of k-record statistics. As a consequence of that characterizations of the uniform and exponential distributions are given.
Received: October 1999 相似文献
11.
Milan Stehlík 《Metrika》2003,57(2):145-164
The aim of this paper is to give some results on the exact density of the I-divergence in the exponential family with gamma distributed observations. It is shown in particular that the I-divergence can be decomposed as a sum of two independent variables with known distributions. Since the considered I-divergence is related to the likelihood ratio statistics, we apply the method to compute the exact distribution of the likelihood
ratio tests and discuss the optimality of such exact tests. One of these tests is the exact LR test of the model which is
asymptotically optimal in the Bahadur sense. Numerical examples are provided to illustrate the methods discussed.
Received: January 2002
Acknowledgements. I am grateful to Prof. Andrej Pázman for helpful discussions during the setup and the preparation of the paper and to the
referees for constructive comments on earlier versions of the paper.
Research is supported by the VEGA grant (Slovak Grant Agency) No 1/7295/20 相似文献
12.
InM-estimation of the regression parameter vector in the linear model, we discuss the choice of the support of certain re-descendingψ-functions for both cases when the distribution of the i.i.d. errors is partially known and when it is completely functionally
unknown.
Research supported in part by the Natural Sciences and Engineering Research Council of Canada. 相似文献
13.
In practice, it is an important problem (especially in quality control) to secure that a known regression function occurs during a certain period in time. In the present paper, we consider the change-point problem that under the null hypothesis this known regression function occurs. As alternative, we consider a certain non-parametric class of functions that is of particular interest in quality control. We analyze this test problem by using partial sums of the data. Asymptotically, we get Brownian motion and Brownian motion with trend (≠0) under the hypothesis and under the alternative, respectively. We prove that tests based on partial sums have a larger power when the partial sums are taken from the time reversed data. This can be quantitatively determined in an asymptotic way by some new results on Kolmogorov type tests for Brownian motion with trend. We illustrate our results by a certain model that is interesting in quality control and by an example with real data.Supported in part by the Deutsche Forschungsgemeinschaft Grant Bi655.Supported in part by the Deutsche Forschungsgemeinschaft Grant Bi655 and by the Swiss National Science Foundation Grant 20-55586.98. 相似文献
14.
15.
Finite sample tail behavior of the multivariate trimmed mean based on Tukey-Donoho halfspace depth 总被引:1,自引:0,他引:1
Finite sample tail behavior of the Tukey-Donoho halfspace depth based multivariate trimmed mean is investigated with respect to a tail performance measure. It turns out that the tails of the sampling distribution of the α-depth-trimmed mean approach zero at least ⌊αn⌋ times as fast as the tails of the underlying population distribution and could be n−⌊αn⌋+ 1 times as fast. In addition, there is an intimate relationship among the tail behavior, the halfspace depth, and the finite sample breakdown point of the estimator. It is shown that the lower tail performance bound of the depth based trimmed mean is essentially the same as its halfspace depth and the breakdown point. This finding offers a new insight into the notion of the halfspace depth and extends the important role of the tail behavior as a quantitative assessment of robustness in the regression (He, Jurečková, Koenker and Portnoy (1990)) and the univariate location settings (Jurečková (1981)) to the multivariate location setting. Received: 1 July 1999 相似文献
16.
Prof. S. C. Gupta 《Metrika》1987,34(1):283-286
Summary The paper investigates the particular case of symmetrical block designs with block size two. It is shown that the component-wise
Kronecker product of two such designs (c.f. Mukerjee 1981) is connected if and only if the numbers of treatments are relatively
prime. 相似文献
17.
18.
In this paper, we consider the problem of estimating a selected set of contrasts between v treatments using a block design consisting of b blocks of size k. Traditionally, the construction of A-optimal block designs for such situations has been carried out assuming a fixed effects model. In this paper, we show that A-optimal designs constructed under a fixed effects model are robust in the sense that these designs have maximal minimal efficiency when considered among all available designs and under all possible mixed effects models.
AMS 1991 subject classifications: Primary 62K05; Secondary 62K10 相似文献
19.
Smoothing spline estimation of a function of several variables based on an analysis of variance decomposition (SS-ANOVA)
is one modern nonparametric technique. This paper considers the design problem for specific types of SS-ANOVA models. As criteria
for choosing the design points, the integrated mean squared error (IMSE) for the SS-ANOVA estimate and its asymptotic approximation
are derived based on the correspondence between the SS-ANOVA model and the random effects model with a partially improper
prior. Three examples for additive and interaction spline models are provided for illustration. A comparison of the asymptotic
designs, the 2d factorial designs, and the glp designs is given by numerical computation.
Received May 2000 相似文献
20.
Carlo Ferreri 《Decisions in Economics and Finance》1985,8(1):39-46
The Dykstra and Laud's extended gamma process is assumed as prior process over the cumulative hazard function, (t), for a bayesian nonparametric estimation of the reliability functionR(t) from both exact and censored data. Particular cases and interpretative aspects are discussed also in the light of an illustrative example.This research was supported by Ministero della Pubblica Istruzione, grant 40% (Gruppo di ricerca «Modelli probabilistici»). 相似文献