Song, Iickho. creator author. aut http://id.loc.gov/vocabulary/relators/aut Park, So Ryoung. author. aut http://id.loc.gov/vocabulary/relators/aut Zhang, Wenyi. author. aut http://id.loc.gov/vocabulary/relators/aut Lee, Seungwon. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XVI, 315 p. 138 illus., 48 illus. in color. online resource. 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. Preliminaries -- Order Statistics -- Rank Statistics -- Answers to Selected Exercises. by Iickho Song, So Ryoung Park, Wenyi Zhang, Seungwon Lee. Statistics Statistics  Statistical Theory and Methods Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences QA276-280 9783031506017 https://doi.org/10.1007/978-3-031-50601-7 https://doi.org/10.1007/978-3-031-50601-7 240424 20251030112007.0 978-3-031-50601-7