摘要:

This paper presents simple criteria which can be used to select which of the three members of the Johnson System of distributions should be used for fitting a set of data. The paper also presents elementary formulas for estimating the parameters for each of the members of the family. Thus, many obstacles to the use of the Johnson System are resolved.

ISSN:0040-1706    

DOI:10.1080/00401706.1980.10486139

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

TheSBdistributions were defined by Johnson (1949). Tables for fitting the fourSBparameters by the method of moments have been provided by Johnson and Kitchen (1971a, b). Bukač (1972) showed that a choice of four symmetrical and equidistant standard normal deviates simplified the solution to allow a direct solution of a quartic equation for theSBparameters. This paper presents a method of reducing Bukač's quartic equations to a quadratic equation which leads to an explicit solution for theSBparameters.

ISSN:0040-1706    

DOI:10.1080/00401706.1980.10486140

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

MVUE θ* of the parametric function θ = Σi–1hi, exp(biμ +ciσ2) for a lognormal distribution LN(μ, σ2) is considered. The exact variance var(θ*) is given. Then the variance of the MVUE of the parametric function θ = var (Y) = exp(2μ) {exp(2σ2) – exp(σ2)} is explored: (i) for a random sample from the LN(μ, σ2) distribution, and (ii) for a lognormal regression.

ISSN:0040-1706    

DOI:10.1080/00401706.1980.10486141

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

Kernel estimates of discrete probabilities are considered, with emphasis on computation of the smoothing parameters. Different approaches based on minimum mean squared error, cross-validation and pseudo-Bayesian techniques are compared, particularly from the points of view of reliability and ease of computation. The advantages of a fractional allocation procedure and of computing the bandwidths marginally for each variable are pointed out. Multicategory variables and incomplete data can be coped with. The relationship between the kernel method and other smoothing techniques for categorical data is discussed.

ISSN:0040-1706    

DOI:10.1080/00401706.1980.10486142

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

Fisher's Exact Test (Fisher, 1970) is the classical way to compare two sample proportions for a statistically significant difference. This paper presents the extension of the test to more than two samples of equal size. An industrial example is given to demonstrate the calculations.

ISSN:0040-1706    

DOI:10.1080/00401706.1980.10486143

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

Cohen (1959, 1961) has derived simplified maximum likelihood estimators of the parameters μ and σ of a truncated normal distribution, as well as the asymptotic covariance matrix of the parameter estimates. In certain applications we need to estimate the proportion truncated or the reciprocal of this proportion and would like to know the variances of these estimates. In this paper we derive asymptotic variances for the above estimates and present the results of a simulation study which examines the rate of convergence of these variances to the asymptotic values.

ISSN:0040-1706    

DOI:10.1080/00401706.1980.10486144

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

We say that a regression model is partially nonlinear in its parameter vector θ if some components of θ “appear linearly” while others “appear nonlinearly” in the form of the model. A theorem shows that a D-optimal discrete design for such a model is independent of the values of the linear parameters.

ISSN:0040-1706    

DOI:10.1080/00401706.1980.10486145

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1980.10486146

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1980.10486147

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1980.10486148

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor