ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1983.tb00369.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

AbstractIn this sequel to a previous discussion of minimum variance estimation (Bartlett, 1982), the gain with conditional estimation procedures is illustrated for the location parameter for (i) the rectangular distribution; (ii) a triangular distribution (typifying an asymmetric case). This note concludes with further remarks on the multi‐sample and multi‐parameter ca

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1983.tb00370.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

SummaryAn overview of some recent developments in the area of asymptotic inference for non‐ergodic type stochastic processes is presented. Both local and global formulations of the asymptotic model are given, and non‐local optimality results are reviewed. Recent results on conditional inference are briefly discussed. Some open problems and possibilities for new developments are also mentio

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1983.tb00371.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

SummaryA model with nonrandom latent and infectious periods is suggested for epidemics in a large community. This permits a relatively complete statistical analysis of data from the spread of a single epidemic. An attractive feature of such models is the possibility of exploring how the rate of spread of the disease depends on the number of susceptibles and infectives. An application to smallpox data is included.

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1983.tb00372.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

SummaryThe selection of the “best” of k populations and subsequent prediction for this population versus “the rest” is compared with the Newman‐Keuls multiple comparison procedure for “separating

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1983.tb00373.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

SummarySome continuous state‐space models for the size of a population subject to catastrophes are examined. Inputs to the population constitute a compound Poisson process, and catastrophes, which are of random magnitudes, occur at a rate which is dependent on the population size. Necessary and sufficient conditions for the existence of stationary distributions are investigated and in special cases the stationary distributions are found explicitly. The time‐dependent behaviour of a process with linear catastrophe rate and truncated exponential catastrophe sizes is also stud

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1983.tb00374.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

SummaryThe Fisher distribution is frequently used as a model for the probability distribution of directional data, which may be specified either in terms of unit vectors or angular co‐ordinates (co‐latitude and azimuth). If, in practical situations, only the co‐latitudes can be observed, the available data must be regarded as a sample from the corresponding marginal distribution. This paper discusses the estimation by Maximum Likelihood (ML) and the Method of Moments of the two parameters of this marginal Fisher distribution. The moment estimators are generally simpler to compute than the ML estimators, and have high asymptotic effic

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1983.tb00375.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

SummaryA general way of testing in the presence of nuisance parameters is to choose from a family of tests the one to maximize evidence against null hypothesis; that is, to minimize the significance level. This method yields exact tests when applied to distribution‐free testing in various statistical designs; arbitrary choice of score functions is eliminated. However, the exact null distributions are highly non‐normal, and there are problems with both computation and asymptotic the

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1983.tb00376.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

SummaryIt was proved in Cohn (1982) that for any finite offspring mean, supercritical Bellman‐Harris process {Z(t)} there exist some norming constants {C(t)} such that {Z(t)/C(t)} converges almost surely to a non‐degenerate random variable W. {C(t)} were defined to be the μ‐quantiles of {Z(t)}. Schuh (1982) has given an alternative proof of this result, identifying C(t) as “the Seneta constants” 1/(‐log Ft(‐1)(γ)), where F1(γ) = E(γZ(t)). Both proofs are long and complicated. It will be shown here that a much simpler proof can be devised from Cohn (1982), if use is made of an elementarily proved property give

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1983.tb00377.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY

摘要:

SummaryA limiting expression is derived for the tail of the distribution of the maximum of a set of product moment correlation coefficients. The technique used is quite general and may be applied to non‐normal observations as well as to rank correlation coefficients. The result obtained for the latter leads to a test procedure for multiple comparisons of these non‐parametric measures of depende

ISSN:0004-9581    

DOI:10.1111/j.1467-842X.1983.tb00378.x

出版商:Blackwell Publishing Ltd    

年代:1983

数据来源: WILEY