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參考資料

一般的參考資料(General references)

(對於每個單獨的函數和分佈的特定的詳細資料在每個單獨部分的最後給定)。

DLMF (NIST Digital Library of Mathematical Functions) 準備作為 Abramowitz and Stegun's Handbook of Mathematical Functions, now scheduled to be completed in 2007的替代品。

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..

The Wolfram Functions Site Wolfram 函數網站 -為數學和科技社區提供了世界上最大的關於數學函數的方程和圖像的集合。

NIST/SEMATECH e-Handbook of Statistical Methods

Mathematica Documentation: DiscreteDistributions Wolfram 研究文檔中心是一個關於數學在線參考資料的收集中心,計算中心以及其它的 Wolfram 研究成果。

Mathematica Documentation: ContinuousDistributions Wolfram 研究文檔中心是一個關於數學在線參考資料的收集中心,計算中心以及其它的 Wolfram 研究成果。

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

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.

pugh.pdf (application/pdf Object) Pugh Msc Thesis on the Lanczos approximation to the gamma function.

N1514, 03-0097, A Proposal to Add Mathematical Special Functions to the C++ Standard Library (version 2), Walter E. Brown

Calculators* that we found (and used to cross-check - as far as their widely-varying accuracy allowed).

http://www.adsciengineering.combpdcalc Binomial Probability Distribution Calculator.

其它的庫(Other Libraries)

Cephes library by Shephen Moshier 以及它的書:

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

100-decimal digit calculator 提供了一些抽樣測試值.

C++ version.

CDFLIB Library of Fortran Routines for Cumulative Distribution functions.

DCDFLIB C++ version DCDFLIB 是一個C++類庫,使用double精度的算術,用於計算累積概率密度函數。

http://www.softintegration.com/docs/packagechnagstat

NAG 庫.

MathCAD

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.

Statistics Glossary, Valerie Easton and John H. McColl.


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