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Book
ISBN: 3030976785 3030976793 Year: 2022 Publisher: Cham, Switzerland : Springer Nature Switzerland AG,
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Probabilities. --- Random variables. --- Chance variables --- Stochastic variables --- Probabilities --- Variables (Mathematics) --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Variables aleatòries --- Probabilitats --- Càlcul de probabilitats --- Inferència estadística --- Probabilitat --- Combinatòria (Matemàtica) --- Lògica --- Lògica matemàtica --- Anàlisi de sèries temporals --- Correlació (Estadística) --- Descomposició (Matemàtica) --- Distribució (Teoria de la probabilitat) --- Fiabilitat (Enginyeria) --- Funcions característiques --- Geometria estocàstica --- Incertesa (Teoria de la informació) --- Integrals de camí --- Jocs d'atzar (Matemàtica) --- Mitjana (Estadística) --- Probabilitats combinatòries --- Processos estocàstics --- Sort --- Teoremes de límit (Teoria de probabilitats) --- Teoria matemàtica de la comunicació --- Atzar --- Risc (Economia) --- Teoria ergòdica --- Variables estocàstiques --- Variables d'oportunitats --- Variació (Estadística) --- Variables (Matemàtica) --- Vectors de Killing
Digital
ISBN: 9783030976798 9783030976781 9783030976804 9783030976811 Year: 2022 Publisher: Cham Springer International Publishing
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This book discusses diverse concepts and notions - and their applications - concerning probability and random variables at the intermediate to advanced level. It explains basic concepts and results in a clearer and more complete manner than the extant literature. In addition to a range of concepts and notions concerning probability and random variables, the coverage includes a number of key advanced concepts in mathematics. Readers will also find unique results on e.g. the explicit general formula of joint moments and the expected values of nonlinear functions for normal random vectors. In addition, interesting applications of the step and impulse functions in discussions on random vectors are presented. Thanks to a wealth of examples and a total of 330 practice problems of varying difficulty, readers will have the opportunity to significantly expand their knowledge and skills. The book is rounded out by an extensive index, allowing readers to quickly and easily find what they are looking for. Given its scope, the book will appeal to all readers with a basic grasp of probability and random variables who are looking to go one step further. It also offers a valuable reference guide for experienced scholars and professionals, helping them review and refine their expertise.
Statistical science --- Operational research. Game theory --- Probability theory --- waarschijnlijkheidstheorie --- stochastische analyse --- statistiek --- kansrekening --- statistisch onderzoek
Book
ISBN: 9783030976798 Year: 2022 Publisher: Cham Springer International Publishing :Imprint: Springer
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Variables aleatòries --- Probabilitats --- Probabilities. --- Random variables. --- Càlcul de probabilitats --- Inferència estadística --- Probabilitat --- Combinatòria (Matemàtica) --- Lògica --- Lògica matemàtica --- Anàlisi de sèries temporals --- Correlació (Estadística) --- Descomposició (Matemàtica) --- Distribució (Teoria de la probabilitat) --- Fiabilitat (Enginyeria) --- Funcions característiques --- Geometria estocàstica --- Incertesa (Teoria de la informació) --- Integrals de camí --- Jocs d'atzar (Matemàtica) --- Mitjana (Estadística) --- Probabilitats combinatòries --- Processos estocàstics --- Sort --- Teoremes de límit (Teoria de probabilitats) --- Teoria matemàtica de la comunicació --- Atzar --- Risc (Economia) --- Teoria ergòdica --- Variables estocàstiques --- Variables d'oportunitats --- Variació (Estadística) --- Variables (Matemàtica) --- Vectors de Killing --- Chance variables --- Stochastic variables --- Probabilities --- Variables (Mathematics) --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk
Book
ISBN: 9783031506017 3031506014 Year: 2024 Publisher: Cham : Springer Nature Switzerland : Imprint: Springer,
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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 appeal to a wide readership.
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