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111.
Bounds on the latest root of the C-matrix and the number of blocks for a variance-balanced block design are given. These results contain the well-known results as special cases. 相似文献
112.
Z. Govindarajulu 《Journal of statistical planning and inference》1980,4(3):237-247
Using certain properties of order statistics, the geometric distribution has been characterized when the components are independent and identically distributed. When the components are independent, the geometric distribution has been characterized in the class of either IFR or DFR discrete distributions. In particular, Ferguson's (1967) characterization theorem for independent components in a sample of size two has been extended in several directions. 相似文献
113.
S. Huda 《Journal of statistical planning and inference》1985,11(1):89-93
Minimization of the maximum and average variance of the difference between estimated responses are taken as design criteria for univariate polynomial regression models. An optimal design under the first criterion is derived for the second-order model and a class of designs nearly optimal under the second criterion is obtained for the general polynomial models. 相似文献
114.
Masahide Kuwada 《Journal of statistical planning and inference》1979,3(4):347-360
A connection between a balanced fractional 2m factorial design of resolution 2l + 1 and a balanced array of strength 2l with index set {μ0, μ1,…, μ2l} was established by Yamamoto, Shirakura and Kuwada (1975). The main purpose of this paper is to give a connection between a balanced fractional 3m factorial design of resolution V and a balanced array of strength 4, size N, m constraints, 3 levels and index set {λl0l1l2}. 相似文献
115.
R.J. Carroll 《Journal of statistical planning and inference》1982,7(1):1-12
We study estimation of regression parameters in heteroscedastic linear models when the number of parameters is large. The results generalize work of Huber (1973), Yohai and Maronna (1979), and Carroll and Rupert (1982a). 相似文献
116.
Jennifer Seberry 《Journal of statistical planning and inference》1985,11(3):373-379
We show that the necessary conditions , , , are sufficient for the existence of a generalized Bhaskar Rao design GBRD(υ,b,r,3,λ;G) for the elementary abelian group G, of each order |G|. 相似文献
117.
We consider the signed linear rank statistics of the form where the cNi's are known real numbers, Δ∈[0,1] is an unknown real parameter,RΔNi is the rank of |YΔNi| among |YΔNj|, 1≤j≤N, ø is a score generating function, sgn y=1 or -1 according as y≥0 or <0, and YΔNj, 1≤j ≤N, are independent random variables with continuous cumulative distribution functions F(y?ΔdNj), 1≤ j≤N, respectively where the dfNi's are known real numbers. Under suitable assumptions on the c's, d's, φ and F, it is proved that the random process {SΔN?S0N?ESΔN, 0≤Δ≤1}, properly normalized, converges weakly to a Gaussian process, and this result is also true if ESΔN is replaced by ΔbN, where . As an application, we derive the asymptotic distribution of the properly normalized length of a confidence interval for Δ. 相似文献
118.
Models for populations with immune or cured individuals but with others subject to failure are important in many areas, such as medical statistics and criminology. One method of analysis of data from such populations involves estimating an immune proportion 1 ? p and the parameter(s) of a failure distribution for those individuals subject to failure. We use the exponential distribution with parameter λ for the latter and a mixture of this distribution with a mass 1 ? p at infinity to model the complete data. This paper develops the asymptotic theory of a test for whether an immune proportion is indeed present in the population, i.e., for H 0:p = 1. This involves testing at the boundary of the parameter space for p. We use a likelihood ratio test for H 0. and prove that minus twice the logarithm of the likelihood ratio has as an asymptotic distribution, not the chi-square distribution, but a 50–50 mixture of a chi-square distribution with 1 degree of freedom, and a point mass at 0. The result is proved under an independent censoring assumption with very mild restrictions. 相似文献
119.
S.C. Gupta 《Journal of statistical planning and inference》1983,7(4):407-416
In this paper the analysis of the class of block designs whose C matrix can be expressed in terms of the Kronecker product of some elementary matrices is considered. The analysis utilizes a basic result concerning the spectral decomposition of the Kronecker product of symmetric matrices in terms of the spectral decomposition of the component matrices involved in the Kronecker product. The property (A) of Kurkjian and Zelen (1963) is generalised and the analysis of generalised property (A) designs is given. It is proved that a design is balanced factorially if and only if it is a generalised property (A) design. A method of analysis of Kronecker product block designs whose component designs are equi-replicate and proper is also suggested. 相似文献
120.
The mean vector associated with several independent variates from the exponential subclass of Hudson (1978) is estimated under weighted squared error loss. In particular, the formal Bayes and “Stein-like” estimators of the mean vector are given. Conditions are also given under which these estimators dominate any of the “natural estimators”. Our conditions for dominance are motivated by a result of Stein (1981), who treated the Np (θ, I) case with p ≥ 3. Stein showed that formal Bayes estimators dominate the usual estimator if the marginal density of the data is superharmonic. Our present exponential class generalization entails an elliptic differential inequality in some natural variables. Actually, we assume that each component of the data vector has a probability density function which satisfies a certain differential equation. While the densities of Hudson (1978) are particular solutions of this equation, other solutions are not of the exponential class if certain parameters are unknown. Our approach allows for the possibility of extending the parametric Stein-theory to useful nonexponential cases, but the problem of nuisance parameters is not treated here. 相似文献