New Statistics Package

The new Statistics package contains a collection of functions and interactive tools for mathematical statistics and data analysis. It supports a wide range of common statistical tasks, such as quantitative and graphical data analysis, symbolic manipulation of random variables, simulation, and curve fitting.

Features include:

• Over 35 continuous and discrete probability distributions, as well as tools for creating new distributions.
• Tools for creating and manipulating random variables as well as functions for computing their densities, moments, generating functions, and other quantities.
• A wide range of functions for computing descriptive statistics. This includes location, dispersion and shape statistics, moments and cumulants, as well as several data summary and tabulation commands.
• Statistical plots including box plots, bar charts, histograms, probability plots, and scatter plots.
• Optimized algorithms for simulating all supported distributions, as well as tools for creating custom random number generators, and parametric and non-parametric bootstrapping.
• Tools for fitting linear and nonlinear models to data points and performing regression analysis.
• Tools for manipulating likelihood functions, maximum likelihood estimation, kernel density estimation, and bootstrapping.
• Tools for manipulating statistical data such as data smoothing functions for moving averages, exponential smoothing, and linear filters.
• Common tools for performing hypothesis testing and inference, including several parametric and non-parametric tests.