摘要:

AbstractIt is believed by criminologists that the incidence of crimes committed against persons is highest in the summer. Knowledge about the annual patterns and other temporal behavior of such crimes can help authorities in prevention. The objective of this study is to reveal the temporal behavior of murders in Canada and assess if they are affected by trend‐cyclical and/or seasonal influences. The series analyzed comprise the period 1961 to 1980 and are classified according to suspects and victims. Only the quarterly series display a significant seasonal pattern, with the peak occurring in the third quarter. We have also analyzed the relationship between the trend cycle of the murder series and two other variables, namely unemployment rate and rate of growth of the 15‐to‐44 age

ISSN:0319-5724    

DOI:10.2307/3314632

出版商:Wiley‐Blackwell    

年代:1988

数据来源: WILEY

ISSN:0319-5724    

DOI:10.2307/3314633

出版商:Wiley‐Blackwell    

年代:1988

数据来源: WILEY

摘要:

AbstractThe three basic tenets of experimental design (randomization, replication, local control) find parallels in sampling design. While the ways these parallel structures are applied differ across the two areas, the commonalities suggest ways of strengthening work in both. We describe examples of embedding sampling within experiments, the use of experimental design structures within sample surveys (including interpenetrating networks of samples), and the generalization from experiments to populations through random selection and sampling. A more complicated connecting structure between experiments and surveys is illustrated by the U.S. Census Bureau model for nonsampling errors. We conclude with a description of alternative approaches to basic inference in complicated embedded structures.

ISSN:0319-5724    

DOI:10.2307/3314634

出版商:Wiley‐Blackwell    

年代:1988

数据来源: WILEY

摘要:

AbstractUniformly minimum‐variance unbiased (UMVU) estimators of the total risk and the mean‐squared‐error (MSE) matrix of the Stein estimator for the multivariate normal mean with unknown covariance matrix are proposed. The estimated MSE matrix is helpful in identifying the components which contribute most to the total risk. It also contains information about the performance of the shrinkage estimator with respect to other quadratic loss func

ISSN:0319-5724    

DOI:10.2307/3314635

出版商:Wiley‐Blackwell    

年代:1988

数据来源: WILEY

摘要:

AbstractWhen estimating a normal mean vector with variance known up to a multiplicative factor, it is well known that the positive‐part James‐Stein estimator is not admissible, but until now, no one has been able to exhibit a uniformly better estimator. We propose here an explicit formula for the risk of the positive‐part James‐Stein es

ISSN:0319-5724    

DOI:10.2307/3314636

出版商:Wiley‐Blackwell    

年代:1988

数据来源: WILEY

摘要:

AbstractThis note is an extension of Das Gupta's results (1986) on the estimation of multiparameter gamma distribution. Consider p (p ⩾ 2) independent positive random variables with possibly different scale‐parameter densities. For the estimation of the powers of the scale parameters it is shown that the “best multiple estimator” is inadmissible with respect to a large class of weighted quadratic loss fu

ISSN:0319-5724    

DOI:10.2307/3314637

出版商:Wiley‐Blackwell    

年代:1988

数据来源: WILEY

摘要:

AbstractBased on right‐censored data from a lifetime distributionF0, a modification of the kernel quantile estimator is proposed. The advantage of this estimator is that the data play a role in the degree of smoothing of the estimator while retaining the desirable features of the kernel estimator. Convergence in probability and almost sure convergence of the estimator are discussed. Also, asymptotic normality and confidence bands are presented and some examples are give

ISSN:0319-5724    

DOI:10.2307/3314638

出版商:Wiley‐Blackwell    

年代:1988

数据来源: WILEY

摘要:

AbstractNotions such as robustness and resistance of an estimator are well known and useful. These ideas have not been fully extended to functional parameters, although it seems natural to do so. In this paper we define a sensitive parameter as one for which small changes in the underlying distribution cause large changes in the parameter value. It is demonstrated that no nontrivial, nonparametric confidence procedure can exist for such a parameter. This extends a result of Bahadur and Savage ( 1956 ). The relationship between this definition and some standard concepts in robustness theory are explored, and implications for parametric inference are studied.

ISSN:0319-5724    

DOI:10.2307/3314639.o

出版商:Wiley‐Blackwell    

年代:1988

数据来源: WILEY

摘要:

AbstractConsider the canonical‐form MANOVA setup withX: n × p= (+E, Xini× p, i= 1, 2, 3,Mi: ni× p, i= 1, 2,n1+ n2+ n3) p, whereEis a normally distributed error matrix with mean zero and dispersionIn(>0 (positive definite). Assume (in contrast with the usual case) thatM1i is normal with mean zero and dispersionIn1) andM22 is either fixed or random normal with mean zero and different dispersion matrixIn2 (being unknown. It is also assumed thatM1E, andM2(if random) are all independent. For testingH0) = 0 versusH1: (>0, it is shown that when eithern2= 0 orM2is fixed ifn2>0, the trace test of Pillai (1955) is uniformly most powerful invariant (UMPI) if min(n1, p)= 1 and locally best invariant (LBI) if min(n1p)>1 underthe action of the full linear group Gl (p). Whenp>1, the LBI test is also derived under a somewhat smaller groupGT(p)ofp × plower triangular matrices with positive diagonal elements. However, such results do not hold ifn2>0 andM2is random. The null, nonnull, and optimality robustness of Pillai's trace test under Gl(p) for suitable deviations from normality is pointe

ISSN:0319-5724    

DOI:10.2307/3314640

出版商:Wiley‐Blackwell    

年代:1988

数据来源: WILEY

摘要:

AbstractWe obtain a strong approximation for the quadratic sum process of uniform spacings.

ISSN:0319-5724    

DOI:10.2307/3314641

出版商:Wiley‐Blackwell    

年代:1988

数据来源: WILEY