Mathematics: Probability

Probability and Statistics

Morris Degroot, Mark Schervish

2002

This is a standard introduction to probability and statistics. If you are new to probability or you can't remember what a probability density function is, this is the perfect book for self study. DeGroot and Schervish takes a non-measure-theoretic approach to probability. Topics include ... Read more

Statistical Distributions

M. Evans, N. Hastings, B. Peacock

2000

This is a handy reference providing essential formulas for important probability distributions. What is the moment generating function for the exponential distribution? How do you calculate the kurtosis of a lognormal distribution? If you square a normally distributed random variable, what distribution describes the result? ... Read more

An Introduction to Copulas

Roger B. Nelsen

1999

Copulas are constructs of probability theory that have attracted increased attention in the past few decades. In only the past few years, financial professionals have turned to them for modeling high-dimensional problems, such as value-at-risk or portfolio credit risk ... Read more

A Probability Path

Sidney I. Resnick

1999

Many practitioners are familiar with elementary probability theory, but need to learn stochastic calculus. Between these two topics, there is a vast gulf of knowledge that needs to be filled in. The linchpin is a measure-theoretic treatment of probability theory. Many texts ... Read more

Probability and Measure

Patrick Billingsley

1995

There are plenty of standard texts introducing measure-theoretic probability. Billingsley is easily the most cited. Like many books, it assuming no prior knowledge of measure theory, teaching it alongside probability theory ... Read more

Probability with Martingales

David Williams

1991

This is a popular book for quantitative professionals who want to master measure-theoretic probability before proceeding to stochastic calculus. A set of lecture notes converted to book form, it is a minimalist treatment that emphasizes the study of martingales. It is far shorter than Billingsley (1995) or even Resnick (1999), but is just as authoritative as those book ... Read more

 

For related books, also see sections:

Math - Time Series Analysis

Math - Extreme Value Theory

Math - Monte Carlo Method

Math - Stochastic Calculus

Math - Measure Theory

Risk Management - Market Risk

Risk Management - Credit Risk

Financial Engineering - Intermediate Theory

Financial Engineering - Advanced Theory

Financial Engineering - Numerical Methods

Finance - Financial Econometrics

 

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