排序方式: 共有48条查询结果,搜索用时 15 毫秒
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N. K. Mandal 《统计学通讯:理论与方法》2013,42(10):1565-1575
In a mixture experiment the measured response is assumed to depend only on the relative proportion of ingredients or components present in the mixture. Scheffe (1958, 1963) first systematically considered this problem and introduced different models and designs suitable in such situations. Optimum designs for the estimation of parameters of different mixture models are available in the literature. The problem of estimating the optimum proportion of mixture components is of great practical importance. Pal and Mandal (2006, 2007) attempted to find a solution to this problem by adopting a pseudo-Bayesian approach and using the trace criterion. Subsequently, Pal and Mandal (2008) solved the problem using minimax criterion. In this article, the deficiency criterion due to Chatterjee and Mandal (1981) has been used as a measure for comparing the performance of competing designs. 相似文献
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ABSTRACTLeast squares estimator of the stability parameter ? ? |α| + |β| for a spatial unilateral autoregressive process Xk, ? = αXk ? 1, ? + βXk, ? ? 1 + ?k, ? is investigated and asymptotic normality with a scaling factor n5/4 is shown in the unstable case ? = 1. The result is in contrast to the unit root case of the AR(p) model Xk = α1Xk ? 1 + ??? + αpXk ? p + ?k, where the limiting distribution of the least squares estimator of the unit root parameter ? ? α1 + ??? + αp is not normal. 相似文献
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B. N. Mandal 《统计学通讯:模拟与计算》2015,44(6):1405-1411
This article proposes a linear integer programming-based algorithm to construct balanced incomplete block designs. Working of the algorithm is illustrated with the help of an example. The algorithm is able to generate balanced incomplete block designs very fast in most of the cases. The performance of the proposed algorithm is compared with other algorithms proposed in the literature. It is demonstrated that the proposed algorithm is competitive with the existing algorithms. 相似文献
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Baran A 《Wiadomo?ci statystyczne (Warsaw, Poland : 1956)》1992,37(10):19-24
"The author of the paper has attempted to show...trends in...mortality by sex, age, place of residence and [the] selected most important death causes in Poland. The crude and the specific as well as standardized death rates and life expectancy have been analyzed for the period...1950-1990." (SUMMARY IN ENG) 相似文献
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In mixture experiments, optimal designs for the estimation of parameters, both linear and non-linear, have been discussed by several authors. Optimal designs for the estimation of a subset of parameters have also been investigated. However, designs for testing the effects of certain factors and interactions have been studied only in the context of response surface models. In this article, we attempt to find the optimum design for testing the presence of synergistic effects in a mixture model. The classical F-test has been considered and the optimum design has been obtained so as to maximize the power of the test. It is observed that the barycenters are necessarily the support points of the trace-optimal design. 相似文献
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Nripes Kumar Mandal 《统计学通讯:理论与方法》2013,42(11):1989-1999
This article studies a mixture-amount model, which is quadratic both in the proportions of mixing components and the amount of mixture. Using the pseudo-Bayesian approach of Pal and Mandal (2006), it attempts to find the A-optimal design for the estimation of the optimum mixing proportions and the optimum amount. 相似文献
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This article proposes an algorithm to construct efficient balanced multi-level k-circulant supersaturated designs with m factors and n runs. The algorithm generates efficient balanced multi-level k-circulant supersaturated designs very fast. Using the proposed algorithm many balanced multi-level supersaturated designs are constructed and cataloged. A list of many optimal and near optimal, multi-level supersaturated designs is also provided for m ≤ 60 and number of levels (q) ≤10. The algorithm can be used to generate two-level k-circulant supersaturated designs also and some large optimal two-level supersaturated designs are presented. An upper bound to the number of factors in a balanced multi-level supersaturated design such that no two columns are fully aliased is also provided. 相似文献