摘要:

AbstractAncillary statistics, proposed by Fisher (1925), can be constructed by forming amixture model(Birnbaum 1962) or can be extracted or derived from atransformation‐parameter model(Peisakoff 1951, Fraser 1961) or from the corresponding error‐basedstructural model(Fraser 1968, 1979); these latter models involve an implicitmixturestructure. Compound models with ancillaries can also be formed by a crossembedding, discussed from a technical viewpoint in this paper. Of the 25 examples in Buehler (1982), 22 are mixtures or implicit mixtures and 3 correspond to cross embedding. The cross embedding examples exemplify the nonuniqueness difficulties with ancillaries. This paper discusses a simple and two generalized versions of cross embedding but makes no general valuations of these for statistical inference; their role within inference is discussed in Evans, Fraser, and Monette (1984, 19

ISSN:0319-5724    

DOI:10.2307/3315161

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractThe problem of interpreting lung‐function measurements in industrial workers is examined. The data under discussion pertain to FEV1and FVC measurements in smoking and in nonsmoking groups of grain‐elevator workers in British Columbia and of workers in Vancouver City Hall. Initial observations have now been enriched by longitudinal follow up data on the same groups after three and after six years. It is shown that interesting selection phenomena, favouring “fit” individuals, take place over time, with regard both to lung symptoms and lung functions. Thus cross‐sectional and longitudinal studies refer to somewhat different populations. It also appears that longitudinal studies are considerably more sensitive to identifying cumulative lung damage than are corresponding cross‐sectional studies. The nonlinearity of the effect of age on lung functions is noted in the longitudinal data in a number of cases, lending support to the hypothesis of association between quadratic age effect and cumulative exposure to l

ISSN:0319-5724    

DOI:10.2307/3315162

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractUsing Fourier series expansions of functions of one and two variables, we find the variances of the sample mean for random and systematic sampling methods in one and two dimensions.

ISSN:0319-5724    

DOI:10.2307/3315163

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractProcesses are viewed as random variables with values in the space of càdlàg functions endowed with theJ1topology. For a sequence of point processes with their minimal filtration, the convergence of their compensators is studied. It is shown that convergence in probability of the processes and of the corresponding conditional distributions of their jump times implies, with some additional hypothesis, the convergence in probability of the compensators. The result is then applied to convergence to a quasi‐left‐continuous point process with independent incre

ISSN:0319-5724    

DOI:10.2307/3315164

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractMcCullagh (1980) presented a comprehensive review of regression models for ordinal response variables. In these models, the functional relationship between the covariates and the response categories is dependent on thelink function. This paper shows that discrimination between links is feasible when the response variable is ordinal. Using the log‐gamma distribution of Prentice (1974), a generalized link function is constructed which allows discrimination between the probit, log‐log, and complementary log‐log links. Sample‐size considerations are noted, and examples are pr

ISSN:0319-5724    

DOI:10.2307/3315165

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractUsing randomly censored data, we develop a test of the null hypothesis that a new item has stochastically the same residual lifelength as does a used item of specified age t0, versus the alternative hypothesis that a new item has stochastically greater residual lifelength than does a used item of age t0. We also compare our test with a related test, developed for a complete‐data model, in order to study the loss in efficiency because of censorin

ISSN:0319-5724    

DOI:10.2307/3315166

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractThe asymptotic theory of a quadratic nuisance‐parameter‐free goodness‐of‐fit procedure is studied. The present techniques are applied in testing for the exponential, the logistic, the extreme value, and the Weibull distri

ISSN:0319-5724    

DOI:10.2307/3315167

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractIn many applications, estimates of percentile curves interest investigators more than the mean regression line. We consider the situation where the dependent variable is a compound Poisson variable. Explicit parametric assumptions are made using a linear model for scale and heterogeneous variance. The model is applied to the data on group conversation tests in spoken English.

ISSN:0319-5724    

DOI:10.2307/3315168

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY

摘要:

AbstractCallaert and Veraverbeke (1981) recently obtained a Berry‐Esseen‐type bound of ordern–1/2for Studentized nondegenerateU‐statistics of degree two. The condition these authors need to obtain this order bound is the finiteness of the 4.5th absolute moment of the kernelh. In this note it is shown that this assumption can be weakened to that of a finite (4 + ϵ)th absolute moment of the kernelh, for some ϵ>0. Our proof resembles part of Helmers and van Zwet (1982), where an analogous result is obtained for the Studentt‐statistic. The present note extends this to StudentizedU

ISSN:0319-5724    

DOI:10.2307/3315169

出版商:Wiley‐Blackwell    

年代:1985

数据来源: WILEY