03190nam a22005295i 4500 978-3-031-50601-7 DE-He213 20251030112007.0 cr nn 008mamaa 240424s2024 sz | s |||| 0|eng d 9783031506017 978-3-031-50601-7 10.1007/978-3-031-50601-7 doi QA276-280 PBT bicssc MAT029000 bisacsh PBT thema Song, Iickho. author. aut http://id.loc.gov/vocabulary/relators/aut 75650 Fundamentals of Order and Rank Statistics [electronic resource] / by Iickho Song, So Ryoung Park, Wenyi Zhang, Seungwon Lee. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XVI, 315 p. 138 illus., 48 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Preliminaries -- Order Statistics -- Rank Statistics -- Answers to Selected Exercises. 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. Statistics. 65982 Statistics . 65982 Statistical Theory and Methods. Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 66911 Park, So Ryoung. author. aut http://id.loc.gov/vocabulary/relators/aut 75651 Zhang, Wenyi. author. aut http://id.loc.gov/vocabulary/relators/aut 75652 Lee, Seungwon. author. aut http://id.loc.gov/vocabulary/relators/aut 75653 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031506000 Printed edition: 9783031506024 Printed edition: 9783031506031 https://doi.org/10.1007/978-3-031-50601-7 ZDB-2-SMA ZDB-2-SXMS 59334 59334