math/doc/background/references.qbk

[section:refs References]

[h4 General references]

(Specific detailed sources for individual functions and distributions
are given at the end of each individual section).

[@http://dlmf.nist.gov/ DLMF (NIST Digital Library of Mathematical Functions)]
is a replacement for the legendary
Abramowitz and Stegun's Handbook of Mathematical Functions (often called simply A&S),

M. Abramowitz and I. A. Stegun (Eds.) (1964)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables,
National Bureau of Standards Applied Mathematics Series,
U.S. Government Printing Office, Washington, D.C.
[/ __Abramowitz_Stegun]

NIST Handbook of Mathematical Functions
Edited by: Frank W. J. Olver, University of Maryland and National Institute of Standards and Technology, Maryland,
Daniel W. Lozier, National Institute of Standards and Technology, Maryland,
Ronald F. Boisvert, National Institute of Standards and Technology, Maryland,
Charles W. Clark, National Institute of Standards and Technology, Maryland and University of Maryland.

ISBN: 978-0521140638 (paperback),  9780521192255 (hardback), July 2010, Cambridge University Press.

[@http://www.itl.nist.gov/div898/handbook/index.htm NIST/SEMATECH e-Handbook of Statistical Methods]

[@http://documents.wolfram.com/mathematica/Add-onsLinks/StandardPackages/Statistics/DiscreteDistributions.html Mathematica Documentation: DiscreteDistributions]
The Wolfram Research Documentation Center is a collection of online reference materials about Mathematica, CalculationCenter, and other Wolfram Research products.

[@http://documents.wolfram.com/mathematica/Add-onsLinks/StandardPackages/Statistics/ContinuousDistributions.html Mathematica Documentation: ContinuousDistributions]
The Wolfram Research Documentation Center is a collection of online reference materials about Mathematica, CalculationCenter, and other Wolfram Research products.

Statistical Distributions (Wiley Series in Probability & Statistics) (Paperback)
by N.A.J. Hastings, Brian Peacock, Merran Evans, ISBN: 0471371246, Wiley 2000.

[@http://www.worldscibooks.com/mathematics/p191.html Extreme Value Distributions, Theory and Applications]
Samuel Kotz & Saralees Nadarajah, ISBN 978-1-86094-224-2 & 1-86094-224-5 Oct 2000,
Chapter 1.2 discusses the various extreme value distributions.

[@http://bh0.physics.ubc.ca/People/matt/Doc/ThesesOthers/Phd/pugh.pdf pugh.pdf (application/pdf Object)]
Pugh Msc Thesis on the Lanczos approximation to the gamma function.

[@http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2003 N1514, 03-0097, A Proposal to Add Mathematical Special Functions to the C++ Standard Library (version 2), Walter E. Brown]

[h4 Calculators]

We found (and used to create cross-check spot values - as far as their accuracy allowed).

[@http://functions.wolfram.com/ The Wolfram Functions Site]
The Wolfram Functions Site - Providing
the mathematical and scientific community with the world's largest
(and most authorititive) collection of formulas and graphics about mathematical functions.

[@http://www.moshier.net/cephes28.zip 100-decimal digit calculator] provided some spot values.

[@http://www.adsciengineering.com/bpdcalc/ http://www.adsciengineering.com/bpdcalc/] Binomial Probability Distribution Calculator.


[h4 Other Libraries]

[@http://www.moshier.net/#Cephes Cephes library] by Shephen Moshier and his book:

Methods and programs for mathematical functions, Stephen L B Moshier, Ellis Horwood (1989) ISBN 0745802893 0470216093 provided inspiration.

[@http://lib.stat.cmu.edu/general/cdflib  CDFLIB Library of Fortran Routines for Cumulative Distribution functions.]

[@http://www.csit.fsu.edu/~burkardt/cpp_src/dcdflib/dcdflib.html DCFLIB C++ version].

[@http://www.csit.fsu.edu/~burkardt/f_src/dcdflib/dcdflib.html DCDFLIB C++ version]
DCDFLIB is a library of C++ routines, using double precision arithmetic, for evaluating cumulative probability density functions.

[@http://www.softintegration.com/docs/package/chnagstat/ http://www.softintegration.com/docs/package/chnagstat/]

[@http://www.nag.com/numeric/numerical_libraries.asp NAG] libraries.

[@http://www.mathcad.com MathCAD]

[@http://www.vni.com/products/imsl/jmsl/v30/api/com/imsl/stat/Cdf.html JMSL Numerical Library] (Java).

John F Hart, Computer Approximations, (1978) ISBN 0 088275 642-7.

William J Cody, Software Manual for the Elementary Functions, Prentice-Hall (1980) ISBN 0138220646.

Nico Temme, Special Functions, An Introduction to the Classical Functions of Mathematical Physics, Wiley, ISBN: 0471-11313-1 (1996) who also gave valueable advice.

[@http://www.cas.lancs.ac.uk/glossary_v1.1/prob.html#probdistn Statistics Glossary], Valerie Easton and John H. McColl.

[__R]
R Development Core Team (2010). R: A language and environment for
statistical computing. R Foundation for Statistical Computing,
Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org.

For use of R, see:

Jim Albert, Bayesian Computation with R,  ISBN 978-0-387-71384-7.

[@http://www.quantnet.com/cplusplus-statistical-distributions-boost
C++ Statistical Distributions in Boost - QuantNetwork forum]
discusses using Boost.Math in finance.

[@http://www.quantnet.com/boost-and-computational-finance/ Quantnet Boost and computational finance].
Robert Demming & Daniel J. Duffy, Introduction to the C++ Boost Libraries - Volume I - Foundations
and Volume II  ISBN 978-94-91028-01-4,  Advanced Libraries and Applications, ISBN 978-94-91028-02-1
(to be published in 2011).
discusses application of Boost.Math, especially in finance.

[endsect] [/section:references References]
[/
  Copyright 2006 John Maddock and Paul A. Bristow.
  Distributed under the Boost Software License, Version 1.0.
  (See accompanying file LICENSE_1_0.txt or copy at
  http://www.boost.org/LICENSE_1_0.txt).
]