Title
New algorithms for statistical analysis of interval data
Abstract
It is known that in general, statistical analysis of interval data is an NP-hard problem: even computing the variance of interval data is, in general, NP-hard. Until now, only one case was known for which a feasible algorithm can compute the variance of interval data: the case when all the measurements are accurate enough – so that even after the measurement, we can distinguish between different measured values $\widetilde x_i$. In this paper, we describe several new cases in which feasible algorithms are possible – e.g., the case when all the measurements are done by using the same (not necessarily very accurate) measurement instrument – or at least a limited number of different measuring instruments.
Year
DOI
Venue
2004
10.1007/11558958_21
PARA
Keywords
Field
DocType
measurement instrument,different measured value,interval data,different measuring instrument,statistical analysis,new case,new algorithm,np-hard problem,feasible algorithm,accurate enough,limited number,np hard problem
Measuring instrument,Parallel algorithm,Algorithm,Lexicographical order,Interval arithmetic,Statistics,Interval data,Mathematics,Statistical analysis
Conference
Volume
ISSN
ISBN
3732
0302-9743
3-540-29067-2
Citations 
PageRank 
References 
8
0.86
3
Authors
4
Name
Order
Citations
PageRank
Gang Xiang17711.18
Scott A. Starks26112.76
Vladik Kreinovich31091281.07
Luc Longpré424530.26