Der Grundkurs Stochastik ist eine integrierte Einführung in Wahrscheinlichkeitstheorie und Mathematische Statistik für Mathematiker, Wirtschaftsmathematiker und Lehramtsstudierende.
Neu gegenüber den früheren Auflagen ist ein in sich abgeschlossenener, Maßtheorie freier erster Teil in diskreten Modellen, in dem schon grundlegende Sätze der Wahrscheinlichkeitstheorie (Schwaches Gesetz der großen Zahlen, ...

The objective of this textbook is to provide a very basic and accessible introduction to option pricing, invoking only a minimum of stochastic analysis. Although short, it covers the theory essential to the statistical modeling of stocks, pricing of derivatives (general contingent claims) with martingale theory, and computational finance including both finite-difference and Monte Carlo methods. The reader is led to an understanding of the ...

Biography of I.I. Gikhman

Iosif Ilyich Gikhman was born on the 26th of May 1918 in the city of Uman, Ukraine. He studied in Kiev, graduating in 1939, then remained there to teach and do research under the supervision of N. Bogolyubov, defending a "candidate" thesis on the influence of random processes on dynamical systems in 1942 and a doctoral dissertation on Markov processes and mathematical statistics in 1955.

I.I. Gikhman is one ...

Biography of I.I. Gikhman

Iosif Ilyich Gikhman was born on the 26th of May 1918 in the city of Uman, Ukraine. He studied in Kiev, graduating in 1939, then remained there to teach and do research under the supervision of N. Bogolyubov, defending a "candidate" thesis on the influence of random processes on dynamical systems in 1942 and a doctoral dissertation on Markov processes and mathematical statistics in 1955.

I.I. Gikhman is one ...

This is a readily accessible introduction to the theory of stochastic processes with emphasis on processes with independent increments and Markov processes. After preliminaries on infinitely divisible distributions and martingales, Chapter 1 gives a thorough treatment of the decomposition of paths of processes with independent increments, today called the Lévy-Itô decomposition, in a form close to Itô's original paper from 1942. Chapter 2 ...

Mathematik für Informatik und BioInformatik ist eine speziell auf das Informatik- und BioInformatik-Studium zugeschnittene breite Einführung in die Mathematik im Umfang der ersten drei bis vier Semester an Universitäten. Der klassische Stoff von Analysis und Linearer Algebra ist auf das Wesentliche konzentriert. Zusätzlich enthalten sind speziell für Informatik und BioInformatik wichtige Gebiete der Diskreten Mathematik ...

This book evolved from the first ten years of the Carnegie Mellon professional Master's program in Computational Finance. The contents of the book have been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs. But more importantly, intuitive explanations, developed and refined through ...

Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective studies the mathematical issues that arise in modeling the interest rate term structure. These issues are approached by casting the interest rate models as stochastic evolution equations in infinite dimensional function spaces. The book is comprised of three parts. Part I is a crash course on interest rates, including a statistical analysis of the data and an ...

A. Ganesh: I graduated from the Indian Institute of Technology, Madras, in 1988. I received my MS and PhD in Electrical Engineering from Cornell University in 1991 and 1995 respectively. My PhD thesis was on the use of large deviation techniques in queueing theory. I worked at Edinburgh University, Birkbeck College, London and Hewlett-Packard's Basic Research Institute in Mathematical Sciences (BRIMS) before joining Microsoft Research in March ...

This book contains material on compound Poisson random variables including an identity which can be used to efficiently compute moments, Poisson approximations, and coverage of the mean time spent in transient states as well as examples relating to the Gibb's sampler, the Metropolis algorithm and mean cover time in star graphs. ...