摘要:

AbstractANDERSON and POSPAHALA (1970) investigated the estimation of wildlife population size using the belt or line transect sampling method and devised a correction for bias, thus leading to a class of estimators with desirable characteristics. This work was given a basic and rigorous mathematica framework by BURNHAM and ANDERSON (1976). In the present article we use this mathematical framework to develop an estimator of population size and density using weighted least squares. The approach is a two‐stage Metho

ISSN:0323-3847    

DOI:10.1002/bimj.4710270702

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

ISSN:0323-3847    

DOI:10.1002/bimj.4710270703

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractSeveral theorems on estimation and verification of linear hypotheses in some Zyskind‐Martin (ZM) models are given. The assumptions are as follows. Lety = Xβ +eor (y, Xβ, σ2V) be a fixed model whereyis a vector ofnobservations,Xis a known matrixnXpwith rankr(X) = r ≦ p

ISSN:0323-3847    

DOI:10.1002/bimj.4710270704

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractANDERSON and POSPAHALA (1970) investigated the estimation of wildlife population size using the belt or line transect sampling method and devised a correction for bias, thus leading to an estimator with interesting characteristics. This work was given a uniform mathematical framework in BURNHAM and ANDERSON (1976). In this paper we extend that mathematical framework to several different sampling models, and a number of interesting discrete probability distributions emerge.

ISSN:0323-3847    

DOI:10.1002/bimj.4710270705

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractThe measures of dispersion for ungrouped data proposed by Gini and Lienert, which are defined as the mean of the ranges of pairs and triplets ofnvalues, are generalised. A family of measures of dispersion emerges with weights based on ranks instead of the measurements themselves.

ISSN:0323-3847    

DOI:10.1002/bimj.4710270706

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractIn many situations one wishes to fit a piecewige regression which enables one to obtain estimates of the join points as well as the slopes and intercepts of the fitted submodels. This study developes a technique for fitting piecewise models to data which contain measurement error in an independent variable. The technique developed here combines the HUDSON (1966) procedure for estimating parameters in piecewise regression and the WALD (1940) Grouping Technique which obviates the problem of measurement error.If one assumes some knowledge of the position of the join point in relation to the data, methodology has been developed to estimate the parameters and study the asymptotic properties of the means and variances of the parameter estimates. However, in the more realistic case, when additional knowledge is limited, it is only possible to obtain the parameter estimates using an iterative technique (TEETER, 1982).The general technique for obtaining the join point estimate in the presence of measurement error is presented here and an example is given using data on women's basal body temperature during menstrual cycles.

ISSN:0323-3847    

DOI:10.1002/bimj.4710270707

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

ISSN:0323-3847    

DOI:10.1002/bimj.4710270708

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractA methodology for obtaining maximum likelihood estimates of life table regression coefficients from complex survey data is presented. Certain of the issues of writing a likelihood for survey data are presented and discussed.The proposed methodology includes consideration of the sampling design in any inference by using design based variance estimates for the parameters. An example is given using data from the 1973 United States National Survey of Family Growth.

ISSN:0323-3847    

DOI:10.1002/bimj.4710270709

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractThe paper shows a formulation for a general linear regression as well as a spline regression of multinomial responses on a quantitative input variables. Application of least squares and asymptotic theory yields theF‐test for significance of coefficients and at‐test for structural discontinu

ISSN:0323-3847    

DOI:10.1002/bimj.4710270710

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractTwo methods of applying Finney's concept of simple independent action are suggested for examining possible synergism in combination therapy. In one model the treatments act independently at one time to cure the disease. In the other model the treatments act independently continuously to prevent the disease from progressing to a terminal outcome. The implications of these models for the interaction terms of a proportional hazards model, a log‐linear model on death rates, and a logistic model are discusse

ISSN:0323-3847    

DOI:10.1002/bimj.4710270711

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY