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A Problem Concerned with Weighting of Distributions

 

作者: ColeridgeA. Wilkins,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1961)
卷期: Volume 56, issue 294  

页码: 281-292

 

ISSN:0162-1459

 

年代: 1961

 

DOI:10.1080/01621459.1961.10482111

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The problem discussed arises in situations where one wishes to choose weights which minimise the deviation of the weighted sum ofndistributions on the interval (O, L) from their lineal average. It is assumed the distributions differ only in their means which are evenly spaced over (O, L), thatnRis not less thanLwhereRis the length of the range of each distribution and that each point in (O, L) is covered by at most two of the ranges. A general solution is found from which it follows that the minimising weights are positive and obey certain inequalities. A table of results is given for the case where each distribution is a truncated normal distribution. The general problem is introduced by considering the practical question of how to obtain an even linear spread of spray.

 

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