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Concise Introduction to Mathematical Statistics

Autor Dragi Anevski
en Limba Engleză Paperback – 20 aug 2017
This book gives a thorough introduction to mathematical statistics. The text is unique as an introductory text, mainly by the use of the Riemann-Stieltjes integral. This enables a unified treatment of basic concepts in probability and inference theory, in a mathematically rigorous manner, without the use of measure theory.
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Specificații

ISBN-13: 9789144115757
ISBN-10: 914411575X
Pagini: 420
Dimensiuni: 155 x 225 x 31 mm
Greutate: 0.86 kg
Editura: Studentlitteratur AB
Colecția Studentlitteratur (SW)

Cuprins

Preface; Mathematical Statistics; What is Unique About the Subject; Very Short Historical Overview & the Development of the Subject; Two Important Results; Some Important Areas in Mathematical Statistics; Important Applications & Connections to Other Areas; Philosophy; Physics; Chemistry; Engineering Science; Medicine; Economy; Biology; Law; ; An Introductory Example & Overview; Set Theory & Introduction to Probability; Conditional Probability & Independence; Random Variables; Random Vectors; Functions of Random Variables & of Random Vectors; Expectation; Conditional Expectation; Examples of Distributions; Stochastic Convergence; Stochastic Processes; An Introductory Example & Overview; Statistics; Methods to Obtain Estimators; Confidence Intervals; Tests; Normal Approximation of Estimators; Applications to Some Common Situations; Test-Based Intervals & the Confidence Interval Method; Parametric, Semi-Parametric & Non-Parametric Estimation Problems; The Empirical Distribution Function; Some Nonparametric Inference Problems; Linear Regression; Introduction to Inference for Stochastic Processes.