摘要:

Abstract.The skewness of the Weibull family of distributions is discussed for all values of the shape parameter. This class includes unimodal probability densities for which the coefficient of skewness μ3/o3is positive, but the order of the mean, median and mode is μ

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1986.tb01509.x

出版商:Blackwell Publishing Ltd    

年代:1986

数据来源: WILEY

摘要:

Abstract.It is shown that the generalized negative binomial distribution which is useful in random walks, queueing theory and branching processes is unimodal. When nθ(1 –θ)β‐1>1, the mode is not at the pointx= 0 and for that case, the lower and the upper bounds of the mode are ob

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1986.tb01510.x

出版商:Blackwell Publishing Ltd    

年代:1986

数据来源: WILEY

摘要:

Abstract.Several generalizations of the signed–rank test for testing of equality ofptreatments inprelated samples against general and trend alternative are discussed. A new generalized test is described and exemplifie

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1986.tb01511.x

出版商:Blackwell Publishing Ltd    

年代:1986

数据来源: WILEY

摘要:

Abstract.In JOSHI and LALITHA (1986) a statistic K is proposed for detecting two outliers present in the opposite directions in a linear model. This statistic reduces to the Studentized range statistic for the case of a simple random sample from a normal population. In this paper, the performance of this statistic is studied. For this an approximate non–null density of the random variables involved in defining the statistic is derived. An exact density is also obtained by using the methods of LALITHA and JOSHI (1986), where the results are proved for Murphy's statistic. A measure of performance is then defined and an example is also given for highlighting the usage of the above said statisti

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1986.tb01512.x

出版商:Blackwell Publishing Ltd    

年代:1986

数据来源: WILEY

摘要:

Abstract.In this paper we study the first–order efficiency and asymptotic normality of the maximum likelihood estimator obtained from dependent observations. Our conditions are weaker than usual, in that we do not require convergences in probability to be uniform or third–order derivatives to exist.The paper builds on Witting and Nolle's result concerning the asymptotic normality of the maximum likelihood estimator obtained from independent and identically distributed observations, and on a martingale theorem by McLe

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1986.tb01513.x

出版商:Blackwell Publishing Ltd    

年代:1986

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1986.tb01514.x

出版商:Blackwell Publishing Ltd    

年代:1986

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1986.tb01515.x

出版商:Blackwell Publishing Ltd    

年代:1986

数据来源: WILEY