Asymptotic algorithm for computing the sample variance of interval data

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Kolacz Kolacz; GRZEGORZEWSKI P.

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Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:4 Page(s): 83-96

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Information Journal Paper

Title

Asymptotic algorithm for computing the sample variance of interval data

Author(s)

Kolacz Kolacz | GRZEGORZEWSKI P. | Issue Writer Certificate

Keywords

Data analysisQ2

interval dataQ2

sample varianceQ2

Abstract

The problem of the sample variance computation for epistemic interval-valued data is, in general, NP-hard. Therefore, known efficient algorithms for computing variance require strong restrictions on admissible intervals like the no-subset property or heavy limitations on the number of possible intersections between intervals. A new asymptotic algorithm for computing the upper bound of the sample variance in a feasible time is proposed. Conditions required for its application with finite samples are discussed and some properties of the algorithm are also given. It appears that our new algorithm could be effectively applied in definitely more situations than methods used so far.

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APA: Copy

Kolacz, Kolacz, & GRZEGORZEWSKI, P.. (2019). Asymptotic algorithm for computing the sample variance of interval data. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(4 ), 83-96. SID. https://sid.ir/paper/113445/en

Vancouver: Copy

Kolacz Kolacz, GRZEGORZEWSKI P.. Asymptotic algorithm for computing the sample variance of interval data. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(4 ):83-96. Available from: https://sid.ir/paper/113445/en

IEEE: Copy

Kolacz Kolacz, and P. GRZEGORZEWSKI, “Asymptotic algorithm for computing the sample variance of interval data,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 4 , pp. 83–96, 2019, [Online]. Available: https://sid.ir/paper/113445/en

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