THE WOLFRAM SOLUTION FOR NEXT STEPS Visit our statistics page to find out how to incorporate Mathematica into your daily work and research. STATISTICS KEY RESOURCES INCLUDE: Free Trial Free Online Seminars Online or Onsite Technical Demonstrations Full Mathematica Documentation, with More Than 100,000 Examples, “How tos,” and Tutorials Video Screencasts Books and Articles www.wolfram.com/statistics “ Being able to combine the generation of airplane trajectories with the statistics related to them in such a very small package is amazing. ” – Mike Ulrey Advanced Air Traffic Management Boeing QUESTIONS? WOLFRAM RESEARCH, INC. WOLFRAM RESEARCH EUROPE LTD. Contact us and let us work with you to find the right solution for your computational needs. www.wolfram.com/contact-us 1-800-WOLFRAM (965-3726) +1-217-398-0700 (outside U.S. & Canada) www.wolfram.co.uk/contact-us +44-(0)1993-883400 © 2011 Wolfram Research, Inc. Mathematica is a registered trademark and webMathematica and Wolfram CDF Player are trademarks of Wolfram Research, Inc. Wolfram|Alpha is a registered trademark of www.wolfram.com Wolfram Alpha LLC. All other trademarks are the property of their respective owners. Mathematica is not associated with Mathematica Policy Research, Inc. MKT1084 SOL-41 10.11VT FOR MORE INFORMATION www.wolfram.com/statistics Pull in your data or ours, do standardized or custom analysis and visualization, then generate and deploy interactive reports—all in one system, with one integrated workflow. WHO USES WOLFRAM TECHNOLOGY? Some of the most important institutions in the industry, including: • The Institute of Statistical Mathematics • Deutsche Bank AG The Mathematica® statistics solution includes powerful optimization and statistics functionality alongside unique capabilities like free-form linguistic input, instant interactivity, and the reliability of any-precision numerics and symbolic analysis. • Federal Reserve Board • Goldman Sachs • Allstate Insurance • Bank of America • Bloomberg KEY CAPABILITIES ■■ ■■ ■■ omplete statistical analysis workflow, from data import to analysis C to visualization and deployment, in one system ore statistical distributions than any other system, with specialized M coverage for finance, medicine, engineering, and science efine new distributions from data, formulas, or other distributions, D including copulas, mixtures, order statistics, censoring, truncation, transforms, and kernel density estimates • Citigroup ■■ ■■ ■■ ■■ ■■ F it and analyze parametric models of data, including linear, nonlinear, logit, probit, and generalized linear models ■■ ■■ ■■ utomatically compute the probability of any event and the A expectation of any expression for univariate and multivariate distributions ■■ goodness of fit, location, and scale using automated test Test selection or by choosing specific parametric or nonparametric tests Fit, test, and describe properties of data Work with a wide variety of built-in standard charts and graphs, including pie and bar charts, paired histograms, box whisker charts, radar plots, quantile plots, and more WHAT EXPERTS ARE SAYING “With other languages I think we would Seamlessly import and export data in hundreds of formats spend weeks on simply the production F ree-form linguistic input produces immediate results with no need for syntax of the graphics or the computation of the differential equations or the drawing of uilt-in access to Wolfram | Alpha’s® continually updated computable B data, such as financial data, weather data, and more random distributions, and Mathematica is a seamless environment in which we can Typeset publication-quality reports with graphics and fully interactive GUIs put this all together in a reasonable time.” reate interactive content in the CDF format, and immediately C deploy it to the free Wolfram CDF Player™ as slide shows, reports, books, applications, and web objects –Seth Chandler Professor of Law University of Houston WAYS TO USE ■■ P erform Monte Carlo simulations, bootstrap analysis, estimate probabilities, and more for pricing options and other finance applications “Our error rate, in terms of sending ■■ ■■ ■■ etermine insights by analyzing current and historical built-in D financial, socioeconomic, geographic, and demographic data ■■ S olve day-to-day optimization problems in many diverse fields such as production, supply chain management, engineering design, finance, and more using built-in or user-defined routines decreased by four orders of magnitude. So we used to have 10 to 15 errors a day in our btain continuous-time equivalents of discrete-time systems for O analysis and design reate interactive applications, reports, and presentations C for instant deployment through Mathematica technologies like webMathematica™ by choosing specific parametric or nonparametric tests laboratory. Now, it’s two or three every Visualizations of different distribution functions, such as PDF, CDF, survival function, and cumulative hazard functions. Arcsin Bates Beckmann Benford Benini Benktander–Gibrat Benktander–Weibull Bernoulli Beta Beta Binomial Beta Negative Binomial Beta Prime Binomial Binormal Birnbaum–Saunders Borel–Tanner Cauchy Censored Chi Chi-square Clayton Copula Copula Dagum Davis Dirichlet Discrete Uniform Erlang Exponential Exponential Gamma Exponential Power Extreme Value Fisher Hypergeometric Fisher-Z Frank Copula F-Ratio Frechet Gamma Gaussian Copula Gaussian Mixture Geometric Gompertz–Makeham Gumbel Gumbel Copula Half-Normal Hotelling T-Square Hoyt Hyperbolic Hypergeometric Inverse Chi-Square Inverse Gamma Inverse Gaussian Johnson K Kumaraswamy Landau Laplace Levy Lindley Log Gamma Logistic Log Logistic Log Normal Log Series Marginal Max Stable Maxwell Min Stable Mixture Moyal Multinomial Multinormal Multivariate Hypergeometric Multivariate Poisson Multivariate T Nakagami Negative Binomial Negative Multinomial Noncentral Beta Noncentral Chi-Square Noncentral F-Ratio Noncentral Student-T Normal Order Parameter Mixture Pareto I Pareto II Pareto III Pareto IV Pascal Pearson PERT Poisson Poisson–Consul Polya–Aeppli Power Probability Product Rayleigh Rice Sech Singh–Maddala Skellam Skew Normal Stable Student T Suzuki T-Copula Transformed Triangular Truncated Tukey Lambda Uniform Uniform Sum Von Mises Wakeby Wallenius Hypergeometric Waring–Yule Weibull Wigner Semicircle Zipf ■■ incorrect results to our clients, has S tudy public health statistics, voting patterns, consumer spending data, and more for predictive modeling Mathematica 8 MATLAB Maple R SAS S-Plus Stata Mathematica supports more statistical distributions than any other system year, and that’s a big advantage.” –George Woodrow III Research Specialist Quest Diagnostics