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991.
M.A. Hidiroglou 《统计学通讯:理论与方法》2013,42(15):1475-1487
The negative moments of the positive hyper geometric distribution are often approximated by the inverse of the positive moments of this distribution. In this paper, a suitable approximation to the positive hypergeometric distribution is used to obtain the negative moments. 相似文献
992.
Simultaneous confidence intervals for the p means of a multivariate normal random variable with known variances may be generated by the projection method of Scheffé and by the use of Bonferroni's inequality. It has been conjectured that the Bonferroni intervals are shorter than the Scheffé intervals, at least for the usual confidence levels. This conjecture is proved for all p≥2 and all confidence levels above 50%. It is shown, incidentally, that for all p≥2 Scheffé's intervals are shorter for sufficiently small confidence levels. The results are also applicable to the Bonferroni and Scheffé intervals generated for multinomial proportions. 相似文献
993.
994.
Bayesian and empirical Bayesian decision rules are exhibited for the interval estimation of the parameter 0 of a Uniform (0,θ) distribution. The estimate ?,δ>resulting in the interval [?,?+δ]suffers loss given by L(?,δ>,θ)=1-[?≦e≦?+δ]+c1((?-θ)2+(?+δ?θ)2))+c2δ. The solution is presented for prior distributions G which have bounded support, no point masses,∫θ?mdG(θ)<∞ and for some integer m. An example is presented involving a particular parametric form for G and rates of risk convergence in the empirical Bayes problem for this example are calculated. 相似文献
995.
The problem of selecting the best of k exponential distributions with different guarantee times and the same unknown variance is considered. A two-stage procedure, similar to the one considered by Bechhofer, Dunnett and Sobel (1954), is given. Some specific guidelines for selecting the first-stage sample size are also given. 相似文献
996.
Göran Bronström 《统计学通讯:理论与方法》2013,42(3):203-221
A technique for selection procedures, called sequential rejection, is investigated. It is shown that this technique is posssible to apply to certain selection goals of the "all or nothing" type, i.e. "selecting a subset containing all good populations" or "selecting a subset containing no bad population". The analogy with existing sequential techniques in the general theory of simultaneous statistical inference is pointed out. 相似文献
997.
The present paper explores the structure of linear exponential families for which the sample variance is a uniformly minimum variance unbiased estimator. 相似文献
998.
S. Theodore Chester Jr. 《统计学通讯:理论与方法》2013,42(21):2493-2502
A general rank test procedure based on an underlying multinomial distribution is suggested for randomized block experiments with multifactor treatment combinations within each block. The Wald statistic for the multinomial is used to test hypotheses about the within–block rankings. This statistic is shown to be related to the one–sample Hotellingt's T2 statistic, suggesting a method for computing the test statistic using the standard statistical computer packages. 相似文献
999.
In this paper asymptotic expansions of the non-null distribution of the likelihood ratio criterion for testing the equality of several one parameter exponential distributions are obtained under local alternatives. These expansions are in terms of Chi-square distributions. 相似文献
1000.
A discrete distribution in which the probabilities are expressible as Laguerre polynomials is formulated in terms of a probability generating function involving three parameters. The skewness and kurtosis is given for members of the family corresponding to various parameter values. Several estimators of the parameters are proposed, including some based on minimum chi-square. All the estimators are compared on the basis of asymptotic relative efficiency. 相似文献