Confidence intervals and confidence regions

Author(s):  
George G. Roussas
Author(s):  
Mark Trede

SummaryThis paper reviews various mobility measures and establishes their asymptotic sampling distribution. The focus is on both transition matrix mobility measures and mobility measures which are based on the reduction in inequality occurring when the accounting period is extended. Statistical techniques are used to show the asymptotic normality of these measures and their variances. The empirical illustration examines the development of earnings mobility for both sexes in Germany between 1983 and 1992 using the Socio-Economic Panel data. It turns out that male earnings mobility fell during the eighties whereas the development of female earnings mobility is less clear. Comparing the levels of mobility females are more mobile than males, at least when inequality reduction mobility measures are employed. Considering the rather large number of observations the confidence intervals are often surprisingly wide. Therefore, confidence regions for mobility measures ought to be reported in empirical work whenever possible.


Author(s):  
ZHENMIN CHEN

The Weibull distribution is widely adopted as a lifetime distribution. One of the characteristics the Weibull distribution possesses is that its cumulative distribution function can be expressed by closed form. Parameter estimation for the Weibull distribution has been discussed by many authors. Various methods have been proposed for constructing confidence intervals and joint confidence regions for the parameters of the Weibull distribution based on censored data. This paper discusses those methods that deal with exact confidence intervals or exact joint confidence regions for the parameters. One of the applications of the joint confidence regions of the parameters is to find confidence bounds for the functions of the parameters. In this paper, confidence bounds for the mean lifetime and reliability function for the Weibull distributions are discussed. Some unresolved problems for the exact confidences and joint confidence regions are mentioned in the discussion section.


1995 ◽  
Vol 50 (12) ◽  
pp. 1102-1103 ◽  
Author(s):  
Robert W. Frick
Keyword(s):  

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