Title
Exact Bounds on Finite Populations of Interval Data
Abstract
In this paper, we start research into using intervals to bound the im- pact of bounded measurement errors on the computation of bounds on flnite population parameters (\descriptive statistics"). Speciflcally, we provide a feasible (quadratic time) algorithm for computing the lower bound æ2 on the flnite population variance function of interval data. We prove that the problem of computing the upper bound æ2 is, in general, NP-hard. We provide a feasible algorithm that computes æ2 under rea- sonable easily veriflable conditions, and provide preliminary results on computing other functions of flnite populations.
Year
DOI
Venue
2005
10.1007/s11155-005-3616-1
Reliable Computing
Keywords
Field
DocType
measurement error,upper bound,lower bound,variance function
Population,Discrete mathematics,Upper and lower bounds,Population variance,Sigma,Time complexity,Mathematics,Observational error,Bounded function,Computation
Journal
Volume
Issue
ISSN
11
3
1573-1340
Citations 
PageRank 
References 
26
1.92
7
Authors
5
Name
Order
Citations
PageRank
Scott Ferson130537.30
Lev Ginzburg2858.15
Vladik Kreinovich31091281.07
Luc Longpré424530.26
Monica Aviles5635.57