Light Bulb Statistics

 

作者: Nathan Mantel,   BernardS. Pasternack,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1966)
卷期: Volume 61, issue 315  

页码: 633-639

 

ISSN:0162-1459

 

年代: 1966

 

DOI:10.1080/01621459.1966.10480894

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Using the concept of an idealized light bulb, one subject to a constant probability of failure while in use, certain distribution problems are solved heuristically. These include: (1) The distribution of sums, or differences, of products of pairs of independent standard normal deviates; (2) The distribution of the difference of 2 chi squares, each with even degrees of freedom or, equivalently, the difference between 2 total waiting times; (3) The distribution of the ratio of 2 chi squares, each with even degrees of freedom or, equivalently, the ratio of 2 total waiting times; (4) Distributions arising in a simple exponential growth process.

 

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