“Statistics 103” for Multitarget Tracking

The finite-set statistics (FISST) foundational approach to multitarget tracking and information fusion was introduced in the mid-1990s and extended in 2001. FISST was devised to be as “engineering-friendly” as possible by avoiding avoidable mathematical abstraction and complexity...

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Main Author: Ronald Mahler
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/19/1/202
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author Ronald Mahler
author_facet Ronald Mahler
author_sort Ronald Mahler
collection DOAJ
description The finite-set statistics (FISST) foundational approach to multitarget tracking and information fusion was introduced in the mid-1990s and extended in 2001. FISST was devised to be as “engineering-friendly” as possible by avoiding avoidable mathematical abstraction and complexity—and, especially, by avoiding measure theory and measure-theoretic point process (p.p.) theory. Recently, however, an allegedly more general theoretical foundation for multitarget tracking has been proposed. In it, the constituent components of FISST have been systematically replaced by mathematically more complicated concepts—and, especially, by the very measure theory and measure-theoretic p.p.’s that FISST eschews. It is shown that this proposed alternative is actually a mathematical paraphrase of part of FISST that does not correctly address the technical idiosyncrasies of the multitarget tracking application.
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spelling doaj.art-f8ac68a2615a484a9ae3b3b2bd1e3e5a2022-12-22T02:53:04ZengMDPI AGSensors1424-82202019-01-0119120210.3390/s19010202s19010202“Statistics 103” for Multitarget TrackingRonald Mahler0Random Sets LLC, Eagan, MN 55122, USAThe finite-set statistics (FISST) foundational approach to multitarget tracking and information fusion was introduced in the mid-1990s and extended in 2001. FISST was devised to be as “engineering-friendly” as possible by avoiding avoidable mathematical abstraction and complexity—and, especially, by avoiding measure theory and measure-theoretic point process (p.p.) theory. Recently, however, an allegedly more general theoretical foundation for multitarget tracking has been proposed. In it, the constituent components of FISST have been systematically replaced by mathematically more complicated concepts—and, especially, by the very measure theory and measure-theoretic p.p.’s that FISST eschews. It is shown that this proposed alternative is actually a mathematical paraphrase of part of FISST that does not correctly address the technical idiosyncrasies of the multitarget tracking application.http://www.mdpi.com/1424-8220/19/1/202multitarget trackingrandom finite setpoint processfinite-set statistics
spellingShingle Ronald Mahler
“Statistics 103” for Multitarget Tracking
Sensors
multitarget tracking
random finite set
point process
finite-set statistics
title “Statistics 103” for Multitarget Tracking
title_full “Statistics 103” for Multitarget Tracking
title_fullStr “Statistics 103” for Multitarget Tracking
title_full_unstemmed “Statistics 103” for Multitarget Tracking
title_short “Statistics 103” for Multitarget Tracking
title_sort statistics 103 for multitarget tracking
topic multitarget tracking
random finite set
point process
finite-set statistics
url http://www.mdpi.com/1424-8220/19/1/202
work_keys_str_mv AT ronaldmahler statistics103formultitargettracking