LEADER 04078nam 22005775 450 001 9910874660303321 005 20250527124513.0 010 $a9783031546884$b(electronic bk.) 010 $z9783031546877 024 7 $a10.1007/978-3-031-54688-4 035 $a(MiAaPQ)EBC31534706 035 $a(Au-PeEL)EBL31534706 035 $a(CKB)33030952100041 035 $a(DE-He213)978-3-031-54688-4 035 $a(EXLCZ)9933030952100041 100 $a20240719d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Cookbook with Probability One $eWith Financial Applications /$fby Damiano Rossello 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (401 pages) 225 1 $aLa Matematica per il 3+2,$x2038-5757 ;$v161 311 08$aPrint version: Rossello, Damiano A Cookbook with Probability One Cham : Springer,c2024 9783031546877 327 $a1 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. 330 $aThis book offers accessible probabilistic modelling of relevant financial problems. It is divided into two parts. The first part (cookbook) is written by emphasizing the key definitions and theorems without wasting too much of the reader with unnecessary technical details. Here, the first kind of target audience is graduate students in Economics with no prior exposition to probability theory (except for undergraduate courses in Applied Statistics) which are provided by a self-contained account of probabilistic modelling mainly applied to finance. The fundamental concepts of random variable/vector and probability distributions are introduced beforehand with respect to the usual treatment of this subject in standard probability textbook, trying to strike a balance between precise mathematical definitions and their applied knowledge. All the analytic tools developed are illustrated through examples of probability distributions of future stock prices, returns and profit and loss, together with their main characteristics, such as moments, moment generating and characteristic functions, location-scale families, and quantiles. The extension to the multivariate case for fixed time horizons is presented, together with the fundamentals of stochastic processes both in discrete and continuous time as candidate models for asset prices and return dynamics. Convergence concepts are presented as applied to the problem of point estimation of means, variances, correlation coefficients and risk measures. Short sections on risk and copula functions, further illustrate the potential application of probability models to financial problems. The second part of the book can be accessed by those students with more mathematical preparation. All the relevant proofs of results which are only stated in the first part and some advanced exercises with complete solutions are presented. . 410 0$aLa Matematica per il 3+2,$x2038-5757 ;$v161 606 $aProbabilities 606 $aStatistics 606 $aProbability Theory 606 $aStatistical Theory and Methods 606 $aProbabilitats$2thub 606 $aEstadística econòmica$2thub 608 $aLlibres electrònics$2thub 615 0$aProbabilities. 615 0$aStatistics. 615 14$aProbability Theory. 615 24$aStatistical Theory and Methods. 615 7$aProbabilitats 615 7$aEstadística econòmica 676 $a519.2 700 $aRossello$b Damiano$01749718 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910874660303321 996 $aA Cookbook with Probability One$94183984 997 $aUNINA