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A spatial-type interval-valued median for random intervals
- Source :
- Scopus, RUO. Repositorio Institucional de la Universidad de Oviedo, instname
- Publication Year :
- 2018
- Publisher :
- TAYLOR & FRANCIS LTD, 2018.
-
Abstract
- © 2018 Informa UK Limited, trading as Taylor & Francis Group. To estimate the central tendency or location of a sample of interval-valued data, a standard statistic is the interval-valued sample mean. Its strong sensitivity to outliers or data changes motivates the search for more robust alternatives. In this respect, a more robust location statistic is studied in this paper. This measure is inspired by the concept of spatial median and makes use of the versatile generalized Bertoluzza's metric between intervals, the so-called dθ distance. The problem of minimizing the mean dθ distance to the values the random interval takes, which defines the spatial-type dθ-median, is analysed. Existence and uniqueness of the sample version are shown. Furthermore, the robustness of this proposal is investigated by deriving its finite sample breakdown point. Finally, a real-life example from the Economics field illustrates the robustness of the sample dθ-median, and simulation studies show some comparisons with respect to the mean and several recently introduced robust location measures for interval-valued data. ispartof: STATISTICS vol:52 issue:3 pages:479-502 status: published
- Subjects :
- Statistics and Probability
Statistics & Probability
random interval
Sample (statistics)
WEBER LOCATION PROBLEM
02 engineering and technology
Type (model theory)
01 natural sciences
Interval valued
010104 statistics & probability
d(theta)-median
Interval-valued data
Statistics
REGRESSION
0202 electrical engineering, electronic engineering, information engineering
Sensitivity (control systems)
statistical robustness
0101 mathematics
ESTIMATORS
Statistic
COMPACT
Mathematics
Science & Technology
algorithm
METRICS
Sample mean and sample covariance
MODEL
UNIQUENESS
Outlier
Physical Sciences
020201 artificial intelligence & image processing
Random interval
sense organs
Statistics, Probability and Uncertainty
SET
WEISZFELD ALGORITHM
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Scopus, RUO. Repositorio Institucional de la Universidad de Oviedo, instname
- Accession number :
- edsair.doi.dedup.....efa0f63feee426b3cd804363b50ff6cc