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2006年09月29日

【期刊论文】sn-m Designs containing clear main effects or clear two-factor interactions

张润楚, Mingyao Aia, *, Runchu Zhangb

Statistics & Probability Letters 69(2004)151-160,-0001,():

-1年11月30日

摘要

For a fixed number of runs, when can designs have clear main effects or clear two-factor interactions (in brief, 2fi' s)? This paper gives the maximum value of n in sn m designs containing clear main effects or clear 2fi' s, where s is any prime or prime power. It is a generalization of the related results in Chen and Hedayat (J. Statist. Plann. Inference 75 (1998) 147-158) for two-level designs. It is further concluded that the weak minimum aberration designs have a maximum number of clear main effects for two-level designs. A collection of designs containing most clear main effects or clear 2fi' s for 16, 32, 27, and 81 runs is given.

Clear, Fractional factorial design, Minimum aberration, Regular, Resolution

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2006年09月29日

【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

摘要

Harness, Brown, 单, 逆靲, 逆强, 条件分布律

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2006年09月29日

【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

摘要

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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2006年09月29日

【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

摘要

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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2006年09月29日

【期刊论文】Blockwise empirical Euclidean likelihood for weakly dependent processes☆

张润楚, Lu Lin, Runchu Zhang*

Statistics & Probability Letters 53(2001)143-152,-0001,():

-1年11月30日

摘要

This paper introduces a method of blockwise empirical Euclidean likelihood for weakly dependent processes. The strong consistency andasymptotic normality of the blockwise empirical Euclidean likelihoodestimation are proved. It is deduced that the blockwise empirical Euclidean likelihood ratio statistic is asymptotically a chi-square statistic. These results show that the blockwise empirical Euclidean likelihood estimation is more asymptotically effcient than the original empirical (Euclidean) likelihood estimation and it is useful for weakly dependent processes.

Blockwise, Dependent data, Empirical Euclidean likelihood

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    南开大学,天津

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