Preliminaries

Iickho Song, So Ryoung Park, Wenyi Zhang and Seungwon Lee
Additional contact information
Iickho Song: Korea Advanced Institute of Science and Technology (KAIST), School of Electrical Engineering
So Ryoung Park: The Catholic University of Korea, School of Information, Communications, and Electronics Engineering
Wenyi Zhang: University of Science and Technology of China, School of Information Science and Technology
Seungwon Lee: Samsung Electronics, Modem Development Team

Chapter Chapter 1 in Fundamentals of Order and Rank Statistics, 2024, pp 1-80 from Springer

Abstract: Abstract In this chapter, we address and review key concepts that will be used in later chapters. In Sect. 1.1, we review briefly the key notions of probability functions and moments of random vectors. Then, we introduce step and impulse functions, which will prove useful in describing and analyzing non-linear statistics, in Sect. 1.2. Section 1.3 is devoted to the discussion on signs and magnitudes of random variables, which will play an important role in describing and understanding order and rank statistics. In the discussion, we will find interesting applications of the step and impulse functions. In Sect. 1.4, we introduce concisely the notions of order statistics, magnitude order statistics, ranks, and magnitude ranks of random vectors, which are the themes of the following chapters.

Date: 2024
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-50601-7_1

Ordering information: This item can be ordered from
http://www.springer.com/9783031506017

DOI: 10.1007/978-3-031-50601-7_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().