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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<a name="math_toolkit.refs"></a><a class="link" href="refs.html" title="References">References</a>
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</h2></div></div></div>
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<h5>
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<a name="math_toolkit.refs.h0"></a>
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<span class="phrase"><a name="math_toolkit.refs.general_references"></a></span><a class="link" href="refs.html#math_toolkit.refs.general_references">General
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references</a>
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</h5>
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<p>
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(Specific detailed sources for individual functions and distributions are given
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at the end of each individual section).
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</p>
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<p>
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<a href="http://dlmf.nist.gov/" target="_top">DLMF (NIST Digital Library of Mathematical
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Functions)</a> is a replacement for the legendary Abramowitz and Stegun's
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Handbook of Mathematical Functions (often called simply A&S),
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</p>
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<p>
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M. Abramowitz and I. A. Stegun (Eds.) (1964) Handbook of Mathematical Functions
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with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards
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Applied Mathematics Series, U.S. Government Printing Office, Washington, D.C.
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</p>
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<p>
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NIST Handbook of Mathematical Functions Edited by: Frank W. J. Olver, University
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of Maryland and National Institute of Standards and Technology, Maryland, Daniel
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W. Lozier, National Institute of Standards and Technology, Maryland, Ronald
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F. Boisvert, National Institute of Standards and Technology, Maryland, Charles
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W. Clark, National Institute of Standards and Technology, Maryland and University
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of Maryland.
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</p>
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<p>
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ISBN: 978-0521140638 (paperback), 9780521192255 (hardback), July 2010, Cambridge
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University Press.
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</p>
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<p>
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<a href="http://www.itl.nist.gov/div898/handbook/index.htm" target="_top">NIST/SEMATECH
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e-Handbook of Statistical Methods</a>
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</p>
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<p>
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<a href="http://documents.wolfram.com/mathematica/Add-onsLinks/StandardPackages/Statistics/DiscreteDistributions.html" target="_top">Mathematica
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Documentation: DiscreteDistributions</a> The Wolfram Research Documentation
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Center is a collection of online reference materials about Mathematica, CalculationCenter,
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and other Wolfram Research products.
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</p>
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<p>
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<a href="http://documents.wolfram.com/mathematica/Add-onsLinks/StandardPackages/Statistics/ContinuousDistributions.html" target="_top">Mathematica
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Documentation: ContinuousDistributions</a> The Wolfram Research Documentation
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Center is a collection of online reference materials about Mathematica, CalculationCenter,
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and other Wolfram Research products.
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</p>
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<p>
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Statistical Distributions (Wiley Series in Probability & Statistics) (Paperback)
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by N.A.J. Hastings, Brian Peacock, Merran Evans, ISBN: 0471371246, Wiley 2000.
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</p>
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<p>
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<a href="http://www.worldscibooks.com/mathematics/p191.html" target="_top">Extreme Value
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Distributions, Theory and Applications</a> Samuel Kotz & Saralees Nadarajah,
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ISBN 978-1-86094-224-2 & 1-86094-224-5 Oct 2000, Chapter 1.2 discusses
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the various extreme value distributions.
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</p>
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<p>
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<a href="http://bh0.physics.ubc.ca/People/matt/Doc/ThesesOthers/Phd/pugh.pdf" target="_top">pugh.pdf
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(application/pdf Object)</a> Pugh Msc Thesis on the Lanczos approximation
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to the gamma function.
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</p>
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<p>
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<a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2003" target="_top">N1514,
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03-0097, A Proposal to Add Mathematical Special Functions to the C++ Standard
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Library (version 2), Walter E. Brown</a>
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</p>
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<h5>
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<a name="math_toolkit.refs.h1"></a>
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<span class="phrase"><a name="math_toolkit.refs.calculators"></a></span><a class="link" href="refs.html#math_toolkit.refs.calculators">Calculators</a>
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</h5>
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<p>
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We found (and used to create cross-check spot values - as far as their accuracy
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allowed).
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</p>
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<p>
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<a href="http://functions.wolfram.com/" target="_top">The Wolfram Functions Site</a>
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The Wolfram Functions Site - Providing the mathematical and scientific community
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with the world's largest (and most authorititive) collection of formulas and
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graphics about mathematical functions.
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</p>
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<p>
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<a href="http://www.moshier.net/cephes28.zip" target="_top">100-decimal digit calculator</a>
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provided some spot values.
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</p>
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<p>
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<a href="http://www.adsciengineering.com/bpdcalc/" target="_top">http://www.adsciengineering.com/bpdcalc/</a>
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Binomial Probability Distribution Calculator.
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</p>
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<h5>
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<a name="math_toolkit.refs.h2"></a>
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<span class="phrase"><a name="math_toolkit.refs.other_libraries"></a></span><a class="link" href="refs.html#math_toolkit.refs.other_libraries">Other
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Libraries</a>
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</h5>
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<p>
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<a href="http://www.moshier.net/#Cephes" target="_top">Cephes library</a> by Shephen
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Moshier and his book:
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</p>
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<p>
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Methods and programs for mathematical functions, Stephen L B Moshier, Ellis
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Horwood (1989) ISBN 0745802893 0470216093 provided inspiration.
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</p>
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<p>
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<a href="http://lib.stat.cmu.edu/general/cdflib" target="_top">CDFLIB Library of Fortran
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Routines for Cumulative Distribution functions.</a>
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</p>
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<p>
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<a href="http://www.csit.fsu.edu/~burkardt/cpp_src/dcdflib/dcdflib.html" target="_top">DCFLIB
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C++ version</a>.
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</p>
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<p>
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<a href="http://www.csit.fsu.edu/~burkardt/f_src/dcdflib/dcdflib.html" target="_top">DCDFLIB
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C++ version</a> DCDFLIB is a library of C++ routines, using double precision
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arithmetic, for evaluating cumulative probability density functions.
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</p>
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<p>
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<a href="http://www.softintegration.com/docs/package/chnagstat/" target="_top">http://www.softintegration.com/docs/package/chnagstat/</a>
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</p>
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<p>
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<a href="http://www.nag.com/numeric/numerical_libraries.asp" target="_top">NAG</a>
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libraries.
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</p>
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<p>
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<a href="http://www.mathcad.com" target="_top">MathCAD</a>
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</p>
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<p>
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<a href="http://www.vni.com/products/imsl/jmsl/v30/api/com/imsl/stat/Cdf.html" target="_top">JMSL
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Numerical Library</a> (Java).
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</p>
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<p>
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John F Hart, Computer Approximations, (1978) ISBN 0 088275 642-7.
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</p>
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<p>
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William J Cody, Software Manual for the Elementary Functions, Prentice-Hall
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(1980) ISBN 0138220646.
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</p>
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<p>
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Nico Temme, Special Functions, An Introduction to the Classical Functions of
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Mathematical Physics, Wiley, ISBN: 0471-11313-1 (1996) who also gave valueable
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advice.
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</p>
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<p>
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<a href="http://www.cas.lancs.ac.uk/glossary_v1.1/prob.html#probdistn" target="_top">Statistics
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Glossary</a>, Valerie Easton and John H. McColl.
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</p>
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<p>
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<span class="underline">_R</span> R Development Core Team (2010). R:
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A language and environment for statistical computing. R Foundation for Statistical
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Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org.
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</p>
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<p>
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For use of R, see:
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</p>
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<p>
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Jim Albert, Bayesian Computation with R, ISBN 978-0-387-71384-7.
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</p>
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<p>
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<a href="http://www.quantnet.com/cplusplus-statistical-distributions-boost" target="_top">C++
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Statistical Distributions in Boost - QuantNetwork forum</a> discusses using
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Boost.Math in finance.
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</p>
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<p>
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<a href="http://www.quantnet.com/boost-and-computational-finance/" target="_top">Quantnet
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Boost and computational finance</a>. Robert Demming & Daniel J. Duffy,
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Introduction to the C++ Boost Libraries - Volume I - Foundations and Volume
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II ISBN 978-94-91028-01-4, Advanced Libraries and Applications, ISBN 978-94-91028-02-1
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(to be published in 2011). discusses application of Boost.Math, especially
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in finance.
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</p>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"></td>
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<td align="right"><div class="copyright-footer">Copyright © 2006-2019 Nikhar
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Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
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Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan
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Råde, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg,
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Daryle Walker and Xiaogang Zhang<p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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</p>
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</div></td>
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</tr></table>
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