Statistics of Range of a Set of Normally Distributed Numbers

dc.contributor.author	Charles R. Schwarz
dc.date.accessioned	2017-05-08T21:01:45Z
dc.date.available	2017-05-08T21:01:45Z
dc.date.copyright	November 2006
dc.date.issued	2006
dc.identifier.other	%28asce%290733-9453%282006%29132%3A4%28155%29.pdf
dc.identifier.uri	http://yetl.yabesh.ir/yetl/handle/yetl/35972
dc.description.abstract	We consider a set of numbers independently drawn from a normal distribution. We investigate the statistical properties of the maximum, minimum, and range of this set. We find that the range is closely related to the standard deviation of the original population. In particular, we investigate the use of the online positioning user service (OPUS) global positioning system (GPS) precise position utility, which produces three estimates of each coordinate and reports the range of these three estimates. We find that the range divided by 1.6926 is an unbiased estimate of the standard deviation of a single coordinate estimate, and that the variance of this estimate is 0.2755
dc.publisher	American Society of Civil Engineers
dc.title	Statistics of Range of a Set of Normally Distributed Numbers
dc.type	Journal Paper
dc.journal.volume	132
dc.journal.issue	4
dc.journal.title	Journal of Surveying Engineering
dc.identifier.doi	10.1061/(ASCE)0733-9453(2006)132:4(155)
dc.tree	Journal of Surveying Engineering:;2006:;Volume ( 132 ):;issue: 004
dc.contenttype	Fulltext