Mathematica Solution for 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.

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.

Creating dynamic visualizations of data

Comparing two datasets side by side with paired histograms; visualizing distribution shapes using binning or kernel smoothing

Key Capabilities

Why Choose Mathematica

Ways to Use

Mathematica includes thousands of built-in functions for computation, modeling, visualization, development, and deployment. »
Statistics-specific capabilities include:
Fit and analyze parametric models of data, including linear, nonlinear, logit, probit, and generalized linear models »
Estimate distribution parameters from data using likelihood and moment-based methods
Test goodness of fit, location, and scale using automated test selection or by choosing specific parametric or nonparametric tests
Work with hundreds of statistical distributions and define new distributions from data, formulas, or other distributions, including copulas, mixtures, order statistics, censoring, truncation, transforms, and kernel density estimates »
Automatically compute the probability of any event and the expectation of any expression for univariate and multivariate distributions
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 »
Seamlessly import and export data in hundreds of formats »
Instantly create fully interactive interfaces for real-time analysis »
Immediately deploy your interactive applications, reports, or documents using Wolfram CDF Player »
Perform cluster analysis on numerical, Boolean, and string data in arbitrary dimensions and with arbitrary distance functions »
State-of-the-art data classification algorithms for visualizing distributions, searching for nearest neighbors, and performing cluster analysis on large datasets »

Use Mathematica's built-in socioeconomic, geographic, and scientific data in your computations and analyses
Financial Data »
Current and historical data on U.S. and other stocks, mutual funds, indices, currency exchange rates, and more
Country Data »
Geographic, demographic, economic, and other statistics for all countries
Weather Data »
Fully computable current and historical weather data
Free-form linguistic input produces immediate results without the need for syntax »
Built-in access to Wolfram|Alpha's continually updated computable data, such as financial data, weather data, and more »
Built-in descriptive statistics functions for all standard statistical distributions and data »
Efficient random number generation for simulating events, estimating probablities, numerically testing symbolic results, and more »
Advanced local and global optimization routines »
Typeset publication-quality reports and documents with graphics and fully interactive GUIs
Powerful textual data processing using built-in string- and list-manipulation functions »
Complete statistical analysis workflow, from data import to analysis to visualization and deployment, in one document
Next:
Why Choose Mathematica

Key Capabilities

Why Choose Mathematica

Ways to Use

Compare Mathematica to your current tools. Do they have these advantages?
More statistical distributions than any other system, with specialized coverage for finance, medicine, engineering, and science »
Free-form linguistic input produces immediate results without the need for syntax »
Competitor note: Unique to Mathematica
Instantly create dynamic interfaces that allow you to vary parameters and gain useful insights from datasets »
Competitor note: Unique to Mathematica
Automated precision control and arbitrary precision numerics produce highly accurate results »
Competitor note: Excel, Matlab and other systems that rely on finite precision numerics can cause serious errors due to lack of precision
Built-in functionality for statistical analysis and computation, curve fitting, image processing, and a range of other application areas
Competitor note: Matlab requires the purchase of extra tool boxes
Seamless integration of numerics, symbolics, interactive graphics, and all other computational aspects in one document
Competitor note: Unique to Mathematica

Powerful symbolic statistical computation and built-in functions for all standard statistical distributions »
Competitor note: Matlab, R, STATA and other numerical systems do not have integrated symbolic functionality
Integrated access to financial, socioeconomic, geographic, scientific, and other data suitable for computation without preprocessing
Competitor note: Built-in curated data is not available in other software
Complete statistical analysis workflow, from data import to analysis to typeset document or slide show, in a single document
Competitor note: R, SAS, S-PLUS, Minitab, and other software do not support a complete analysis workflow in a single document
Next:
Ways to Use

Key Capabilities

Why Choose Mathematica

Ways to Use

Perform Monte Carlo simulations, bootstrap analysis, estimate probabilities, and more for pricing options and other finance applications
Model and predict a wide range of failure rates, such as the life expectancy of a product or the reliability of engineering materials using built-in Weibull distribution functions
Analyze FRAP (fluorescence recovery after photobleaching) experiments to quantify the mobility of molecules in live cells or develop models to investigate SIR epidemic dynamics
Determine insights by analyzing current and historical built-in financial, socioeconomic, geographic, and demographic data
Study public health statistics, voting patterns, consumer spending data, and more for predictive modeling

Solve 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
Generate user-defined or built-in 2D and 3D graphics for visualizing data
Create interactive applications, reports, and presentations for instant deployment through the CDF Player or webMathematica
Next:
Key Capabilities