Measure, probability, and mathematical finance : a problem oriented approach / Guojun Gan, Chaoqun Ma, Hong Xie.

Format:

Book

Author/Creator:

Gan, Guojun, 1979- author.

Ma, Chaoqun, author.

Xie, Hong, author.

Series:

New York Academy of Sciences Ser.

Language:

English

Subjects (All):

Finance--Mathematical models.

Finance.

Social sciences--Research--Statistical methods.

Social sciences.

Physical Description:

1 online resource (741 p.)

Edition:

1st edition

Place of Publication:

Hoboken, New Jersey : Wiley, 2014.

System Details:

text file

Summary:

An introduction to the mathematical theory and financial models developed and used on Wall Street Providing both a theoretical and practical approach to the underlying mathematical theory behind financial models, Measure, Probability, and Mathematical Finance: A Problem-Oriented Approach presents important concepts and results in measure theory, probability theory, stochastic processes, and stochastic calculus. Measure theory is indispensable to the rigorous development of probability theory and is also necessary to properly address martingale measures, the change of num

Contents:

MEASURE, PROBABILITY, AND MATHEMATICAL FINANCE: A Problem-Oriented Approach; Copyright; CONTENTS; Preface; Financial Glossary; PART I MEASURE THEORY; 1 Sets and Sequences; 1.1 Basic Concepts and Facts; 1.2 Problems; 1.3 Hints; 1.4 Solutions; 1.5 Bibliographic Notes; 2 MEASURES; 2.1 Basic Concepts and Facts; 2.2 Problems; 2.3 Hints; 2.4 Solutions; 2.5 Bibliographic Notes; 3 EXTENSION OF MEASURES; 3.1 Basic Concepts and Facts; 3.2 Problems; 3.3 Hints; 3.4 Solutions; 3.5 Bibliographic Notes; 4 LEBESGUE-STIELT JES MEASURES; 4.1 Basic Concepts and Facts; 4.2 Problems; 4.3 Hints; 4.4 Solutions

4.5 Bibliographic Notes5 MEASURABLE FUNCTIONS; 5.1 Basic Concepts and Facts; 5.2 Problems; 5.3 Hints; 5.4 Solutions; 5.5 Bibliographic Notes; 6 LEBESGUE INTEGRATION; 6.1 Basic Concepts and Facts; 6.2 Problems; 6.3 Hints; 6.4 Solutions; 6.5 Bibliographic Notes; 7 THE RADON-NIKODYM THEOREM; 7.1 Basic Concepts and Facts; 7.2 Problems; 7.3 Hints; 7.4 Solutions; 7.5 Bibliographic Notes; 8 LP SPACES; 8.1 Basic Concepts and Facts; 8.2 Problems; 8.3 Hints; 8.4 Solutions; 8.5 Bibliographic Notes; 9 CONVERGENCE; 9.1 Basic Concepts and Facts; 9.2 Problems; 9.3 Hints; 9.4 Solutions

9.5 Bibliographic Notes10 PRODUCT MEASURES; 10.1 Basic Concepts and Facts; 10.2 Problems; 10.3 Hints; 10.4 Solutions; 10.5 Bibliographic Notes; PART IIPROBABILITY THEORY; 11 EVENTS AND RANDOM VARIABLES; 11.1 Basic Concepts and Facts; 11.2 Problems; 11.3 Hints; 11.4 Solutions; 11.5 Bibliographic Notes; 12 INDEPENDENCE; 12.1 Basic Concepts and Facts; 12.2 Problems; 12.3 Hints; 12.4 Solutions; 12.5 Bibliographic Notes; 13 EXPECTATION; 13.1 Basic Concepts and Facts; 13.2 Problems; 13.3 Hints; 13.4 Solutions; 13.5 Bibliographic Notes; 14 CONDITIONAL EXPECTATION; 14.1 Basic Concepts and Facts

14.2 Problems14.3 Hints; 14.4 Solutions; 14.5 Bibliographic Notes; 15 INEQUALITIES; 15.1 Basic Concepts and Facts; 15.2 Problems; 15.3 Hints; 15.4 Solutions; 15.5 Bibliographic Notes; 16 LAW OF LARGE NUMBERS; 16.1 Basic Concepts and Facts; 16.2 Problems; 16.3 Hints; 16.4 Solutions; 16.5 Bibliographic Notes; 17 CHARACTERISTIC FUNCTIONS; 17.1 Basic Concepts and Facts; 17.2 Problems; 17.3 Hints; 17.4 Solutions; 17.5 Bibliographic Notes; 18 DISCRETE DISTRIBUTIONS; 18.1 Basic Concepts and Facts; 18.2 Problems; 18.3 Hints; 18.4 Solutions; 18.5 Bibliographic Notes; 19 CONTINUOUS DISTRIBUTIONS

19.1 Basic Concepts and Facts19.2 Problems; 19.3 Hints; 19.4 Solutions; 19.5 Bibliographic Notes; 20 CENTRAL LIMIT THEOREMS; 20.1 Basic Concepts and Facts; 20.2 Problems; 20.3 Hints; 20.4 Solutions; 20.5 Bibliographic Notes; PART III STOCHASTIC PROCESSES; 21 STOCHASTIC PROCESSES; 21.1 Basic Concepts and Facts; 21.2 Problems; 21.3 Hints; 21.4 Solutions; 21.5 Bibliographic Notes; 22 MARTINGALES; 22.1 Basic Concepts and Facts; 22.2 Problems; 22.3 Hints; 22.4 Solutions; 22.5 Bibliographic Notes; 23 STOPPING TIMES; 23.1 Basic Concepts and Facts; 23.2 Problems; 23.3 Hints; 23.4 Solutions

23.5 Bibliographic Notes

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-118-83198-5

1-118-83757-6

OCLC:

862041539