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Record Nr. |
UNINA9910851997403321 |
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Autore |
Song Iickho |
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Titolo |
Fundamentals of Order and Rank Statistics / / by Iickho Song, So Ryoung Park, Wenyi Zhang, Seungwon Lee |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
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ISBN |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (XVI, 315 p. 138 illus., 48 illus. in color.) |
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Disciplina |
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Soggetti |
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Statistics |
Statistical Theory and Methods |
Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences |
Estadística d'ordre |
Estadística matemàtica |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Preliminaries -- Order Statistics -- Rank Statistics -- Answers to Selected Exercises. |
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Sommario/riassunto |
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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 |
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appeal to a wide readership. |
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