04130nam a22005295i 4500 978-3-031-54688-4 DE-He213 20251030112637.0 cr nn 008mamaa 240719s2024 sz | s |||| 0|eng d 9783031546884 978-3-031-54688-4 10.1007/978-3-031-54688-4 doi QA273.A1-274.9 PBT bicssc PBWL bicssc MAT029000 bisacsh PBT thema PBWL thema Rossello, Damiano. author. aut http://id.loc.gov/vocabulary/relators/aut 80862 A Cookbook with Probability One [electronic resource] : With Financial Applications / by Damiano Rossello. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XII, 402 p. 46 illus., 4 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda La Matematica per il 3+2, 2038-5757 ; 161 1 Probability, Events and Random Variables -- 2 Distribution of Random Variables -- 3 Multidimensional Random Variables -- 4 Moments and the Alike -- 5 Special Distributions -- 6 Conditioning -- 7 Regression, Prediction and more Dependence -- 8 Convergence Concepts -- 9 Introduction to Stochastic Processes -- 10 Introduction to Market Risk Measures. This book offers accessible probabilistic modelling of relevant financial problems. It is divided into two parts. The first part (cookbook) is written by emphasizing the key definitions and theorems without wasting too much of the reader with unnecessary technical details. Here, the first kind of target audience is graduate students in Economics with no prior exposition to probability theory (except for undergraduate courses in Applied Statistics) which are provided by a self-contained account of probabilistic modelling mainly applied to finance. The fundamental concepts of random variable/vector and probability distributions are introduced beforehand with respect to the usual treatment of this subject in standard probability textbook, trying to strike a balance between precise mathematical definitions and their applied knowledge. All the analytic tools developed are illustrated through examples of probability distributions of future stock prices, returns and profit and loss, together with their main characteristics, such as moments, moment generating and characteristic functions, location-scale families, and quantiles. The extension to the multivariate case for fixed time horizons is presented, together with the fundamentals of stochastic processes both in discrete and continuous time as candidate models for asset prices and return dynamics. Convergence concepts are presented as applied to the problem of point estimation of means, variances, correlation coefficients and risk measures. Short sections on risk and copula functions, further illustrate the potential application of probability models to financial problems. The second part of the book can be accessed by those students with more mathematical preparation. All the relevant proofs of results which are only stated in the first part and some advanced exercises with complete solutions are presented. . Probabilities. 65724 Statistics. 65982 Probability Theory. 67428 Statistical Theory and Methods. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031546877 Printed edition: 9783031546891 La Matematica per il 3+2, 2038-5757 ; 161 70145 https://doi.org/10.1007/978-3-031-54688-4 ZDB-2-SMA ZDB-2-SXMS 61727 61727