Lower confidence limits for the impact probability within a circle in the normal case
作者:
S. Zacks,
H. Solomon,
期刊:
Naval Research Logistics Quarterly
(WILEY Available online 1975)
卷期:
Volume 22,
issue 1
页码: 19-30
ISSN:0028-1441
年代: 1975
DOI:10.1002/nav.3800220103
出版商: Wiley Subscription Services, Inc., A Wiley Company
数据来源: WILEY
摘要:
AbstractLower confidence limits are derived for the impact probability within a circle of fixed radius. The bivariate normal distribution with zero means, unequal variances, and zero correlation is the probability model for impacts. A new representation of the impact probability function is offered. This presentation is valid also for the dependent case, where the eigenvalues of the covariance matrix replace the variances. When the ratio of variances is known the lower confidence limits are uniformly most accurate (UMA). A few alternative approaches are compared by simulation when the ratio of variances is unknown.
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