ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1980.tb00686.x

出版商:Blackwell Publishing Ltd    

年代:1980

数据来源: WILEY

摘要:

SummaryWe know that the partial meansmrof a sequence of i.i.d. standardized random variables tend to 0 with probability 1. If we wantP{mk≥εfor somek ≥r}≤δ for given positive ε and δ, how large should we taker? Several (strong) inequalities for the distribution of partial sums providing an answer to this question can be found in the literature (Hájek‐RényiRobbins, Khan). Furthermore there exist wellknown (weak) inequalities (Bienaymé‐Chebyshev, Bernstein, Okamoto) that give us values ofrfor whichP{mr≥ε}≤δ. We compare these inequalities and illustrate them with numerical results for a fixed choice ofε and δ.After a general survey and introduction in section 1, the normal and the binomial distribution are considered in more detail in the sections 2 and 3, while in section 4 it is shown that the strong inequality essentially due to Robbinscan give an inferior result for

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1980.tb00687.x

出版商:Blackwell Publishing Ltd    

年代:1980

数据来源: WILEY

摘要:

SummaryIn this survey paper the estimation of variance components is given. The least squares approach in variance component estimation is a unifying principle which includes the analysis of variance estimators and the MINQUE. When normality is assumed the maximum likelihood estimators can be used. Many variance component estimators are not permissible because they are not non‐negative. The development of non‐negative variance component estimators is indica

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1980.tb00688.x

出版商:Blackwell Publishing Ltd    

年代:1980

数据来源: WILEY

摘要:

AbstractLetXmandYndenote the medians of independent samples from continuous populationsFandGrespectively. In Theorem 1 of this note, a large deviation result for the differencedmn= Xm‐ Ynis established under the assumption thatFandGarc symmetric about 0. The result is then used to define a sequential rule based on medians for selecting the best ofKsymmetric population

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1980.tb00689.x

出版商:Blackwell Publishing Ltd    

年代:1980

数据来源: WILEY

摘要:

SummaryIn this paper the power of the two‐sample test of Wilcoxonfor Logistic shift alternatives is computed by using two approximations, based on the asymptotic Normality of the test statistic. The sample sizes considered are m = n = 6,m = n=10 andm = n = 15. These approximations are compared with the results of an experimental determination by Monte Carlo technique

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1980.tb00690.x

出版商:Blackwell Publishing Ltd    

年代:1980

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1980.tb00691.x

出版商:Blackwell Publishing Ltd    

年代:1980

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1980.tb00692.x

出版商:Blackwell Publishing Ltd    

年代:1980

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1980.tb00693.x

出版商:Blackwell Publishing Ltd    

年代:1980

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1980.tb00694.x

出版商:Blackwell Publishing Ltd    

年代:1980

数据来源: WILEY