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【期刊论文】ON A TRANSFORMATION METHOD IN CONSTRUCTING MULTIVARIATE UNIFORM DESIGNS
张润楚, Runchu Zhang
Statistica Sinica 6 (1996), 455-469,-0001,():
-1年11月30日
Based on the work of Wang and Fang (1990a, b), this paper extends the def-inition of discrepancy of a set of points with respect to a distribution. To construct multivariate uniform designs, two transformations, discrepancy-preserving transfor-mation and density-preserving transformation, and a method of separating variables are introduced. Also, for some special domains useful in statistics, some related transformations are given. In particular, as an application of the method of sepa-rating variables, we give an approach of constructing a uniform design in the Stiefel manifold and outline its applications in projection pursuit methods.
Computer experiment, Latin hypercube, number-theoretic method, projection pursuit, Stiefel manifold, uniform design
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【期刊论文】Minimum aberration designs with two-level and four-level factors
张润楚, By C. F. J. WU AND RUNCHU ZHANG
Biometrika (1993), 80, 1, pp. 203-9,-0001,():
-1年11月30日
For optimal assignment of factors to columns of a 4m2n, design, we consider extensions of the minimum aberration criterion for the 2 level designs Minimum aberration 412n and 422n designs in t6 and 32 runs are obtained and tabulated Some results on the wordlength pattens and design classification are obtained.
Defining contrasts group, Grouping, Method of replacement, Resolution
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【期刊论文】CONSTRUCTION OF ASYMMETRICAL ORTHOGONAL ARRAYS OF THE TYPE OA (sk,sm(sr1)n1...(sT1)n1)
张润楚, C. F. J. Wu, Runchu Zhang and Renguan Wang
Statistica Sinica 2 (1992), 203-219,-0001,():
-1年11月30日
We extend the grouping scheme introduced by Wu (1989) and construct a class of saturated asymmetrical orthogonal arrays of the type OA(sk, sm (sr)n), where s is a prime power and r is any positive integer. The method is generalized to construct OA(sk, sm(sr1)m1... (sr1)ni) for any prime power s, any positive integer ri, and some combinations of m and ni.
Asymmetrical orthogonal arrays, fractional factorial de-signs, method of replacement, grouping scheme.,
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【期刊论文】二参数Harnesses和对Brown单的表征*
张润楚, 庄兴元
科学通报,1988,22:1964~1697,-0001,():
-1年11月30日
Harness, Brown, 单, 逆靲, 逆强, 条件分布律
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【期刊论文】MARKOV PROPERTIES OF THE GENERALIZED BROWNIAN SHEET AND EXTENDED OUP2
张润楚, ZANG RUNCHU
SCOEMTOA SINICA (Series A) No.8, August 1985,-0001,():
-1年11月30日
In this paper, we introduce a class of generalized Browaian sheets and extend the OUP; in [1]. By studying some fundamental properties of the former process, we first derive some of simple relaxed past Markov properties of the rwo processes. Next, utilizing the relation between the two processes, we successively prove that, for two kinds of general sets, they possess the general relaxed past Markov properties and the Levy Markoy properties re-spectively. As a result, we conclude that the OUP; in [1] also has general Markov properties for the corresponding sets.
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