A new type of multivariate records: depth-based records

DOI10.1080/02331888.2021.1925280zbMath1476.62098OpenAlexW3171952250MaRDI QIDQ5004985

S. Tat, Mohammad Reza Faridrohani

Publication date: 4 August 2021

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2021.1925280

zbMATH Keywords

depth functionmultivariate recordjoint distribution of record timejoint distribution of record value

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Applications of statistics to environmental and related topics (62P12) Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70) Statistics of extreme values; tail inference (62G32)

Uses Software

• ddalpha

Cites Work

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• Some extensions of Tukey's depth function
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• Fast \(DD\)-classification of functional data
• General notions of statistical depth function.
• Structural properties and convergence results for contours of sample statistical depth functions.
• Many multivariate records
• The chain records
• Progressive type II censored order statistics for multivariate observations
• Record values and maxima
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• Record values of exponentially distributed random variables
• Notions of Limiting P Values Based on Data Depth and Bootstrap
• Regression Depth
• A Quality Index Based on Data Depth and Multivariate Rank Tests
• A Conditional Approach for Multivariate Extreme Values (with Discussion)
• Maxima in hypercubes

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