國立虎尾科技大學 |

A cookbook with probability one = with financial applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A cookbook with probability one/ by Damiano Rossello.
Reminder of title:	with financial applications /
Author:	Rossello, Damiano.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xii, 402 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Probabilities. -
Online resource:	https://doi.org/10.1007/978-3-031-54688-4
ISBN:	9783031546884

A cookbook with probability one = with financial applications /
Rossello, Damiano.

A cookbook with probability onewith financial applications /[electronic resource] :by Damiano Rossello. - Cham :Springer Nature Switzerland :2024. - xii, 402 p. :ill. (some col.), digital ;24 cm. - UNITEXT. La matematica per il 3+2,v. 1612038-5757 ;. - UNITEXT.La matematica per il 3+2 ;v. 139..

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.

ISBN: 9783031546884

Standard No.: 10.1007/978-3-031-54688-4doiSubjects--Topical Terms:

527847
Probabilities.

LC Class. No.: QA273

Dewey Class. No.: 519.2

A cookbook with probability one = with financial applications /
LDR:03354nam a2200361 a 4500 001 1134263
003 DE-He213
005 20240719130150.0
006 m d
007 cr nn 008maaau
008 241213s2024 sz s 0 eng d
020 $a 9783031546884 $q (electronic bk.)
020 $a 9783031546877 $q (paper)
024 7 $a 10.1007/978-3-031-54688-4 $2 doi
035 $a 978-3-031-54688-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA273
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
072 7 $a PBWL $2 thema
082 0 4 $a 519.2 $2 23
090 $a QA273 $b .R828 2024
100 1 $a Rossello, Damiano. $3 1455650
245 1 2 $a A cookbook with probability one $h [electronic resource] : $b with financial applications / $c by Damiano Rossello.
260 $a Cham : $c 2024. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xii, 402 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a UNITEXT. La matematica per il 3+2, $x 2038-5757 ; $v v. 161
505 0 $a 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.
520 $a 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.
650 0 $a Probabilities. $3 527847
650 0 $a Finance $x Statistical methods. $3 595278
650 1 4 $a Probability Theory. $3 1366244
650 2 4 $a Statistical Theory and Methods. $3 671396
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a UNITEXT. $p La matematica per il 3+2 ; $v v. 139. $3 1408214
856 4 0 $u https://doi.org/10.1007/978-3-031-54688-4
950 $a Mathematics and Statistics (SpringerNature-11649)