摘要:

A recent result of Alson (1988) on the MILE (Minimax Linear Estimator)in a linear model with ellipsodal parameter space is false. A corrected version of the statement leads to a previous result of Alson(1981), which was also found independently by GAFFKE HEILIGERS (1989) PILZ (1987).The 'state of the art' in computing the MILE Under ellipsoidal parameter space is briefly summarized

ISSN:0233-1888    

DOI:10.1080/02331889108802277

出版商:Akademie-Verlag    

年代:1991

数据来源: Taylor

摘要:

In[5] MUKERJEE, CHATTERJEE and SEN Proved that a certain class of saturated main-effect plans for estimating orthonormal contrasts is D-and A-optional. They clairned that these plans are E-optiomal, too. By a repeated comparison of a matrix with its SCHUR Complements we prove in this note E-optimality of that class

ISSN:0233-1888    

DOI:10.1080/02331889108802278

出版商:Akademie-Verlag    

年代:1991

数据来源: Taylor

ISSN:0233-1888    

DOI:10.1080/02331889108802279

出版商:Akademie-Verlag    

年代:1991

数据来源: Taylor

摘要:

In This Paper the Problem of Inter- and intra-block estimation of treatment effects and variance components in mixed linear model corresponding to block designs is considered. It is assumed that block effects are random and treatment effects are fixed, The considerations lead to a new characterization of balancedness and orthogonality of designs. Obtained results are applied to construction of variance component tests based on admissible estimators

ISSN:0233-1888    

DOI:10.1080/02331889108802280

出版商:Akademie-Verlag    

年代:1991

数据来源: Taylor

摘要:

In this paper we consider the problem of determining optimal block designs in experimental situations in which v treatments are applied to experimental units arranged in b blocks of size k where bh/v is not an integer. Using a minimization result proven in JACBOTJX (1989), some new methods for establishing optimality are derived which can often be used to establish the existence of optimal nearly balanced block designs within the classes of designs considered as well as the exact optimality of some specific types of nearly balanced block designs within classes where no other optimality results known to applicable

ISSN:0233-1888    

DOI:10.1080/02331889108802281

出版商:Akademie-Verlag    

年代:1991

数据来源: Taylor

摘要:

A class of delete-d jackknife estimators of the asymptotic variances of point estimators are shown to be consistent when d, the number of observations removed from the original sample, is a fraction of n and the point estimators are generated from a sta¬tistical functional which possesses a weak differentiability property. The computation of the delete-∧ jackknife estimators is almost as easy as the traditional delete-1 jackknife estimator. The results are applied to problems in robust M-estimation

ISSN:0233-1888    

DOI:10.1080/02331889108802282

出版商:Akademie-Verlag    

年代:1991

数据来源: Taylor

摘要:

Robert M. Gray: Probability, Random Process and Ergodic Properties. Springer–Verlag, New York 1988, XVI, 295 pp., DM 98,–

ISSN:0233-1888    

DOI:10.1080/02331889108802283

出版商:Akademie-Verlag    

年代:1991

数据来源: Taylor

摘要:

In the paper some problems of minimax estimation and prediction are considered in which statistician estimates (or predicts) at the steps 1,...,n observing random variables X(1),...,X(n), respectively, and the loss function is the sum of the losses at particular steps. The problems with a priori information available for statistician are also considered

ISSN:0233-1888    

DOI:10.1080/02331889108802284

出版商:Akademie-Verlag    

年代:1991

数据来源: Taylor

摘要:

Allan Gut: Stopped Random Walks. Limit Theorems and Applications – Springer Verlag, New York; Berlin; Heidelberg; London; Paris; Tokyo 1988, IX, 199 pp., DM 88,–

ISSN:0233-1888    

DOI:10.1080/02331889108802285

出版商:Akademie-Verlag    

年代:1991

数据来源: Taylor

摘要:

In kernel density estimation, one usually assumes the density has two continous derivatives. In this paper we give precise experssions for the asymptotic mean integrated squared error in case the density has m-1 continuous derivatives and two more derivatives with simple discontinuities. We show that the convergence rate for the mean

ISSN:0233-1888    

DOI:10.1080/02331889108802286

出版商:Akademie-Verlag    

年代:1991

数据来源: Taylor