02825nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001600167072002300183072001500206100007500221245013100296250001800427264006900445300006600514336002600580337002600606338003600632347002400668505009100692520099500783650001601778650001801794650003601812650008801848700007801936700007502014700007602089710003402165773002602199776003602225776003602261776003602297856004602333978-3-031-50601-7DE-He21320251030112007.0cr nn 008mamaa240424s2024    sz |    s    |||| 0|eng d  a97830315060177 a10.1007/978-3-031-50601-72doi 4aQA276-280 7aPBT2bicssc 7aMAT0290002bisacsh 7aPBT2thema1 aSong, Iickho.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aFundamentals of Order and Rank Statisticsh[electronic resource] /cby Iickho Song, So Ryoung Park, Wenyi Zhang, Seungwon Lee.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXVI, 315 p. 138 illus., 48 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aPreliminaries -- Order Statistics -- Rank Statistics -- Answers to Selected Exercises.  aThis 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. 0aStatistics. 0aStatistics .14aStatistical Theory and Methods.24aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences.1 aPark, So Ryoung.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut1 aZhang, Wenyi.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut1 aLee, Seungwon.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303150600008iPrinted edition:z978303150602408iPrinted edition:z978303150603140uhttps://doi.org/10.1007/978-3-031-50601-7