摘要:

A stochastic model is used to analyze the changing size distributions of large firms in the food processing and chain store food distributing industries during 1948–1958. The model is shown to have certain predictive usefulness for anticipating changes in these distributions; however, the predictive value of the equilibrium distribution is questioned. An index of size mobility is developed from the model and the value of this index computed for each industry in each year and for the entire decade. The index clearly indicates that firms in the processing sector were characterized by greater relative size mobility than those in the distributing sector over this decade. A number of possible explanations of and deductions from the variability of the indexes, both between industries and over time, are suggested. Although no strong correlations are obtained, the descriptive and predictive value of the technique and the potential fruitfulness of further statistical work on the dynamics of industry structure are strongly indicated.

ISSN:0162-1459    

DOI:10.1080/01621459.1961.10482135

出版商:Taylor & Francis Group    

年代:1961

数据来源: Taylor

摘要:

The properties of the missing plot procedure for a randomized block design are investigated from the randomization viewpoint. Expected mean squares, estimates of treatment effects, variances, and estimates of treatment effect variances are obtained when a particular block-plot combination is missing from the conceptual population of yields, when a block-treatment combination is missing, and when a restricted set of randomizations is considered. With proper definition of parameters and with certain assumptions, the analysis of variance is shown in all cases to lead to an unbiased test. Comparison with the infinite model approach is stressed.

ISSN:0162-1459    

DOI:10.1080/01621459.1961.10482136

出版商:Taylor & Francis Group    

年代:1961

数据来源: Taylor

摘要:

The gamma distribution is assumed as a model for lifetime. The problem of acceptance sampling when the life test is truncated at a pre- assigned time is discussed. For various acceptance numbers, various confidence levels, and various values of the ratio of the fixed experiment time to the specified mean life, the tables of this paper give the minimum sample sizes necessary to assure the specified mean life. The operating characteristic functions of the sampling plans are obtained and these are graphed for a few selected cases. Producer's risk is discussed and a small table is given for the ratio of true mean life to a specified mean life which insures acceptance with a probability ofP* = .95. An approximation is given for the minimum sample size problem. Failure rates for the gamma distribution are tabulated. The use of the tables is illustrated by examples in most cases.

ISSN:0162-1459    

DOI:10.1080/01621459.1961.10482137

出版商:Taylor & Francis Group    

年代:1961

数据来源: Taylor

摘要:

A bivariate extension of the exponential distribution is proposed as a model for certain problems in life testing. It applies, in particular, to two-component systems, which can function even if one of the components has failed. Various statistical properties of the model are investigated, including maximum likelihood estimates of the parameters and their distributions.

ISSN:0162-1459    

DOI:10.1080/01621459.1961.10482138

出版商:Taylor & Francis Group    

年代:1961

数据来源: Taylor

摘要:

Let ω0be the space of a parameter θ. Let ωibe a subset of ωi–1,i= 1, 2, ···,k, We test θ∈ωkagainst θ∈ω0– ωkby testing iteratively the following hypotheses: θ∈ωiagainst θ∈ωi–1– ωi,i= 1, 2, ···,k. The hypothesis θ∈ωkis accepted if and only if all of the intermediate hypotheses are accepted. If the test statistic for each intermediate hypothesis is based on the corresponding likelihood ratio λi, we demonstrate why, under fairly general conditions, these test statistics are mutually stochastically independent. This argument is based on an independence theorem which deals with complete sufficient statistics. A number of illustrative examples are given; these include the equality of means and variances, the analysis of variance, the independence ofpvariates, and a regression problem.

ISSN:0162-1459    

DOI:10.1080/01621459.1961.10482139

出版商:Taylor & Francis Group    

年代:1961

数据来源: Taylor

摘要:

In this paper the asymptotic variances of method of moments estimates of the parameters of the truncated binomial and negative binomial distributions have been derived. For the binomial distribution with one class from the lower end of the distribution truncated, the efficiency of the estimate relative to maximum likelihood has been compared.

ISSN:0162-1459    

DOI:10.1080/01621459.1961.10482140

出版商:Taylor & Francis Group    

年代:1961

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1961.10482141

出版商:Taylor & Francis Group    

年代:1961

数据来源: Taylor

摘要:

A stepwise procedure for estimating the parameters of the multiple linear regression modely=X1β1+X2β2+eis often used. Two articles in the March 1961 issue of thisJournalfocussed on the connection between the stepwise and the direct estimator of β2. The present paper spells out the connection between the stepwise and the direct estimator of β1, as a special case of Theil's analysis of specification error. A unified treatment of the two stepwise estimators is also provided.

ISSN:0162-1459    

DOI:10.1080/01621459.1961.10482142

出版商:Taylor & Francis Group    

年代:1961

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1961.10482143

出版商:Taylor & Francis Group    

年代:1961

数据来源: Taylor

摘要:

Demographic and Economic Change in Developed Countries.National Bureau of Economic Research. Princeton, New Jersey: Princeton University Press, 1960. Pp. x, 536. $12.00. Reviewed by Alexander Gerschenkron

ISSN:0162-1459    

DOI:10.1080/01621459.1961.10482144

出版商:Taylor & Francis Group    

年代:1961

数据来源: Taylor