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<div class="titlepage"><div><div><h3 class="title">
<a name="math_toolkit.backgrounders.refs"></a><a class="link" href="refs.html" title="References"> References</a>
</h3></div></div></div>
<a name="math_toolkit.backgrounders.refs.general_references"></a><h5>
<a name="id1291171"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.general_references">General
references</a>
</h5>
<p>
(Specific detailed sources for individual functions and distributions are
given at the end of each individual section).
</p>
<p>
<a href="http://dlmf.nist.gov/about/" target="_top">DLMF (NIST Digital Library of Mathematical
Functions)</a> is intended to be a replacement for the legendary Abramowitz
and Stegun's Handbook of Mathematical Functions, now scheduled to be completed
in 2007.
</p>
<p>
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..
</p>
<p>
<a href="http://functions.wolfram.com/" target="_top">The Wolfram Functions Site</a>
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.
</p>
<p>
<a href="http://www.itl.nist.gov/div898/handbook/index.htm" target="_top">NIST/SEMATECH
e-Handbook of Statistical Methods</a>
</p>
<p>
<a href="http://documents.wolfram.com/mathematica/Add-onsLinks/StandardPackages/Statistics/DiscreteDistributions.html" target="_top">Mathematica
Documentation: DiscreteDistributions</a> The Wolfram Research Documentation
Center is a collection of online reference materials about Mathematica, CalculationCenter,
and other Wolfram Research products.
</p>
<p>
<a href="http://documents.wolfram.com/mathematica/Add-onsLinks/StandardPackages/Statistics/ContinuousDistributions.html" target="_top">Mathematica
Documentation: ContinuousDistributions</a> The Wolfram Research Documentation
Center is a collection of online reference materials about Mathematica, CalculationCenter,
and other Wolfram Research products.
</p>
<p>
Statistical Distributions (Wiley Series in Probability & Statistics)
(Paperback) by N.A.J. Hastings, Brian Peacock, Merran Evans, ISBN: 0471371246,
Wiley 2000.
</p>
<p>
<a href="http://www.worldscibooks.com/mathematics/p191.html" target="_top">EXTREME VALUE
DISTRIBUTIONS, Theory and Applications</a> 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.
</p>
<p>
<a href="http://bh0.physics.ubc.ca/People/matt/Doc/ThesesOthers/Phd/pugh.pdf" target="_top">pugh.pdf
(application/pdf Object)</a> Pugh Msc Thesis on the Lanczos approximation
to the gamma function.
</p>
<p>
<a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2003" target="_top">N1514,
03-0097, A Proposal to Add Mathematical Special Functions to the C++ Standard
Library (version 2), Walter E. Brown</a>
</p>
<a name="math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__"></a><h5>
<a name="id1291267"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__">Calculators*
that we found (and used to cross-check - as far as their widely-varying accuracy
allowed).</a>
</h5>
<p>
<a href="http://www.adsciengineering.com/bpdcalc/" target="_top">http://www.adsciengineering.com<span class="emphasis"><em>bpdcalc</em></span></a>
Binomial Probability Distribution Calculator.
</p>
<a name="math_toolkit.backgrounders.refs.other_libraries"></a><h5>
<a name="id1291292"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.other_libraries">Other Libraries</a>
</h5>
<p>
<a href="http://www.moshier.net/#Cephes" target="_top">Cephes library</a> by Shephen
Moshier and his book:
</p>
<p>
Methods and programs for mathematical functions, Stephen L B Moshier, Ellis
Horwood (1989) ISBN 0745802893 0470216093 provided inspiration.
</p>
<p>
<a href="http://www.moshier.net/cephes28.zip" target="_top">100-decimal digit calculator</a>
provided some spot values.
</p>
<p>
<a href="http://www.csit.fsu.edu/~burkardt/cpp_src/dcdflib/dcdflib.html" target="_top">C++
version</a>.
</p>
<p>
<a href="http://lib.stat.cmu.edu/general/cdflib" target="_top">CDFLIB Library of Fortran
Routines for Cumulative Distribution functions.</a>
</p>
<p>
<a href="http://www.csit.fsu.edu/~burkardt/f_src/dcdflib/dcdflib.html" target="_top">DCDFLIB
C++ version</a> DCDFLIB is a library of C++ routines, using double precision
arithmetic, for evaluating cumulative probability density functions.
</p>
<p>
<a href="http://www.softintegration.com/docs/package/chnagstat/" target="_top">http://www.softintegration.com/docs/package<span class="emphasis"><em>chnagstat</em></span></a>
</p>
<p>
<a href="http://www.nag.com/numeric/numerical_libraries.asp" target="_top">NAG </a>libraries.
</p>
<p>
<a href="http://www.mathcad.com" target="_top">MathCAD</a>
</p>
<p>
<a href="http://www.vni.com/products/imsl/jmsl/v30/api/com/imsl/stat/Cdf.html" target="_top">JMSL
Numerical Library</a> (Java).
</p>
<p>
John F Hart, Computer Approximations, (1978) ISBN 0 088275 642-7.
</p>
<p>
William J Cody, Software Manual for the Elementary Functions, Prentice-Hall
(1980) ISBN 0138220646.
</p>
<p>
Nico Temme, Special Functions, An Introduction to the Classical Functions
of Mathematical Physics, Wiley, ISBN: 0471-11313-1 (1996) who also gave valueable
advice.
</p>
<p>
<a href="http://www.cas.lancs.ac.uk/glossary_v1.1/prob.html#probdistn" target="_top">Statistics
Glossary</a>, Valerie Easton and John H. McColl.
</p>
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Hubert Holin, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani
and Thijs van den Berg<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
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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