Journal ArticleDOI
On the Possibility of Improving the Mean Useful Life of Items by Eliminating Those with Short Lives
Glyn Watson,W. T. Wells +1 more
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TLDR
In this article, conditions on the life distribution of the original articles are found which will insure this, and the Weibull, gamma, exponential, extreme value and log-normal life distributions are examined in detail.Abstract:
When everything possible has been done to produce articles with long lives, there remains the possibility that a further improvement in the articles may be obtained by running them, for some time, under realistic conditions. The fraction that does not fail may have a longer mean remaining life than the original articles. In this paper conditions on the life distribution of the original articles are found which will insure this. The Weibull, gamma, exponential, extreme value and log-normal life distributions are examined in detail. The most interesting case is the log-normal, for which it is always possible to increase the mean life to any extent desired by continuing to test until a sufficiently large number of articles have failed.read more
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Statistical Size Distributions in Economics and Actuarial Sciences
Christian Kleiber,Samuel Kotz +1 more
TL;DR: The Statistical Size Distribution in Economics and Actuarial Sciences (SDFIS) as discussed by the authors is a collection of parametric models that deal with income, wealth, and related notions.
Journal ArticleDOI
The Inverse Gaussian Distribution and its Statistical Application—A Review
John Leroy Folks,Raj S. Chhikara +1 more
Journal ArticleDOI
The Inverse Gaussian Distribution as a Lifetime Model
Raj S. Chhikara,John Leroy Folks +1 more
TL;DR: In this article, the authors suggest the use of the inverse Gaussian distribution for a model of such lifetime behavior and discuss different reliability features of the distribution, and show that its failure rate is nonmonotonic, initially increasing and then decreasing.
References
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Journal ArticleDOI
The Lognormal Distribution.
J. Aitchison,J. A. C. Brown +1 more
TL;DR: Lloyds Bank has its main root in a substantial private bank founded in Birmingham nearly two centuries ago; one hundred years ago this Bank still had only the one office in Birmingham, with a related private banking house in Lombard Street, and by amalgamation it has absorbed scores of other eighteenth and nineteenth century banks, both private and joint stock, and at least two of the former reach back into Restoration London, perhaps Cromwellian London.
Book
The lognormal distribution
TL;DR: Lloyds Bank has its main root in a substantial private bank founded in Birmingham nearly two centuries ago; one hundred years ago this Bank still had only the one office in Birmingham, with a related private banking house in Lombard Street, and by amalgamation it has absorbed scores of other eighteenth and nineteenth century banks, both private and joint stock, and at least two of the former reach back into Restoration London, perhaps Cromwellian London.
Journal ArticleDOI
Order Statistics from the Gamma Distribution
TL;DR: In this paper, the authors deal with order statistics from a gamma or χ2 (Pearson Type III) distribution and derive the modal value of an order statistic and a table of these values is given for the cases of the smallest and the largest order statistics.
Journal ArticleDOI
A Problem of Berkson, and Minimum Variance Orderly Estimators
TL;DR: For a class of distributions with suitable monotony properties (in particular all distributions for which $f'(y)/f(y)$ is monotone decreasing, and all normal, exponential, gamma and beta distributions), this paper showed that the covariances of the order statistics in a sample of any chosen size are monotonically decreasing in either index separately.