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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