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Confidence Limits in the Non-Parametric Case

非参数情形下的置信限

The purpose of this article is to give a survey 1 1I should like to thank Professor Wolfowits for pointing out the need for such a survey. of certain methods available for finding confidence limits when nothing is assumed about the population from which a sample has been drawn except possibly that it has a continuous distribution. The following three cases are treated: a confidence band for the unknown cumulative distribution function, a confidence interval for the…

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A Note on the Statistical Estimation of Supply and Demand Relations from Time Series

关于从时间序列统计估计供需关系的札记

IN A discussion in this Journal of the estimation from time series of economic relations such as demand and supply equations, G. Tintner developed a technique based on multivariate methods of statistical analysis, the economic relations being identified with the linear relations existing (within the limits of observational error) among the economic variables considered. In the present note a more precise analysis of the same type is adopted in which some of the limitations…

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On the Gibrat Distribution

论吉布拉特分布

1. IT WAS a great achievement of Gibrat2 to show that the distribution of the logarithms of some economic variates (for instance, the distribution of factories according to the number of workers) is approximately normal. The explanation of this phenomenon by Gibrat may be presented in a rigorous form as follows: Let us denote the variate X (for instance the number of workers in a factory) at a certain date by XO. Let us further assume that subsequently it undergoes a series…

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The Production Function for Canadian Manufactures

READERS of this JOURNAL may perhaps be somewhat acquainted with a series of articles by one of the present authors and various associates which on the basis of (1) time-series and (2) cross-section studies of labor, capital, and product have sought to discover by use of the production formula, P = bLkCi, the effects upon the quantity of manufacturing product caused by changes in the quantities of labor and capital. Thus far the economies studied have been the manufacturing…

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