NDLI: Construction of confidence interval on mean value with interval data

Content Provider	IEEE Xplore Digital Library
Author	Zaman, K. Khan, S.M.
Copyright Year	2013
Description	Author affiliation: Ind. & Production Eng., Bangladesh Univ. of Eng. & Technol., Dhaka, Bangladesh (Zaman, K.; Khan, S.M.)
Abstract	In this paper, we propose a methodology for construction of confidence interval on mean values with interval data for input variable in uncertainty analysis problems. Confidence interval on mean values depends on the values of moments of the sampled data. For construction of confidence interval with point data, well-established methods are available in the literature. However, unlike point data where single estimates for the moments of data can be calculated, moments of interval data can only be computed in terms of upper and lower bounds implying that with interval data every moment will be an interval itself. This suggests that the construction of confidence interval with interval data is an optimization problem. In this paper, we present efficient algorithms based on continuous optimization to find the confidence interval on mean values with interval data. Several sets of interval data with different numbers of intervals and type of overlap are presented to demonstrate the proposed methods. As against the current practice for the design optimization with interval data that typically implements the constraints on interval variables through the computation of bounds on mean values from the sampled data, the proposed approach of construction of confidence interval enables more complete implementation of design optimization under interval uncertainty.
Starting Page	157
Ending Page	162
File Size	258029
Page Count	6
File Format	PDF
ISBN	9781467358514
DOI	10.1109/CIES.2013.6611743
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-04-16
Publisher Place	Singapore
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Algorithm design and analysis Uncertainty Upper bound Sociology Statistics Optimization Design optimization Confidence interval Interval data
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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