03915nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001900172072001600191072001700207072002300224072001500247072001600262100008700278245011400365250001800479264006900497300006400566336002600630337002600656338003600682347002400718490004800742505035600790520189201146650002603038650002303064650003103087650003603118710003403154773002603188776003603214776003603250830005503286856004603341912001403387912001503401999001703416978-3-031-54688-4DE-He21320251030112637.0cr nn 008mamaa240719s2024    sz |    s    |||| 0|eng d  a97830315468849978-3-031-54688-47 a10.1007/978-3-031-54688-42doi 4aQA273.A1-274.9 7aPBT2bicssc 7aPBWL2bicssc 7aMAT0290002bisacsh 7aPBT2thema 7aPBWL2thema1 aRossello, Damiano.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98086212aA Cookbook with Probability Oneh[electronic resource] :bWith Financial Applications /cby Damiano Rossello.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXII, 402 p. 46 illus., 4 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aLa Matematica per il 3+2,x2038-5757 ;v1610 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.  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. . 0aProbabilities.965724 0aStatistics.96598214aProbability Theory.96742824aStatistical Theory and Methods.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303154687708iPrinted edition:z9783031546891 0aLa Matematica per il 3+2,x2038-5757 ;v16197014540uhttps://doi.org/10.1007/978-3-031-54688-4  aZDB-2-SMA  aZDB-2-SXMS  c61727d61727