Fundamentals of Order and Rank Statistics

This book is devoted to the fundamentals of order and rank statistics. Primarily focusing on theoretical properties, it also discusses practical aspects, including interesting applications of step and impulse functions for the distribution of random variables, magnitudes, and signs. New concepts are...

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Autors principals: Song, Iickho (Autor), Park, So Ryoung (Autor), Zhang, Wenyi (Autor), Lee, Seungwon (Autor)
Autor corporatiu: SpringerLink (Online service)
Format: Electrònic eBook
Idioma:anglès
Publicat: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Edició:1st ed. 2024.
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Accés en línia:https://doi.org/10.1007/978-3-031-50601-7
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505 0 |a Preliminaries -- Order Statistics -- Rank Statistics -- Answers to Selected Exercises. 
520 |a This book is devoted to the fundamentals of order and rank statistics. Primarily focusing on theoretical properties, it also discusses practical aspects, including interesting applications of step and impulse functions for the distribution of random variables, magnitudes, and signs. New concepts are introduced, such as independent and semi-identically distributed random vectors and probability density-mass functions. This book also presents an investigation of relative magnitudes in order statistics, and of correlation coefficients among signs, ranks, and magnitudes. The basic concepts are described in clear terms, and step-by-step details are provided for most of the presented mathematical results. The exposition is accompanied by numerous examples and more than 100 exercises, for which a complete solution manual is available. Providing a useful reference, and requiring only a basic understanding of probability and random variables, the book will appeal to a wide readership. 
532 8 |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility 
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532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
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650 2 4 |a Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 
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700 1 |a Zhang, Wenyi.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Lee, Seungwon.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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