A. Totes amazeballs automated Plotting
Let random variable X have pdf f(x):
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B. Elegant Piecewise Processing Engine
mathStatica 2.7’s piecewise processing engine provides beautiful support for piecewise functions, with clean and elegant solutions that are streets ahead of anything else available.
For example, here we compare mathStatica 2.7’s elegant output to Mathematica output (by itself), for exactly the same problem ... calculating a cdf:
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C. Even more Distributions
mathStatica, of course, handles infinitely many distributions (univariate or multivariate). For ease and convenience, mathStatica 2.7 adds another 40 univariate distributions to the built-in palettes, offering simple easy one-click access.
Continuous |
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Discrete |
alpha-Laplace distribution (see Linnik distribution) A cute Linear distribution Arc-Sine distribution asymmetric Laplace distribution Azzalini's skew-Normal distribution Bates distribution Beta distribution Beta distribution of the second kind (see Inverted Beta distribution) Bi-weight distribution Birnbaum–Saunders distribution Box–Tiao distribution (see Subbotin distribution) Bradford distribution Burr Type III distribution Burr Type XII distribution Cardioid distribution Cauchy distribution Chi distribution Chi-squared distribution Cosine distribution Cosinus distribution Dagum Type I distribution Double Epanechnikov distribution Double Exponential distribution (see Laplace distribution) Double Freud distribution (see Reflected Freud distribution) Double Gamma distribution (see Reflected Gamma distribution) Double Weibull distribution (see Reflected Weibull distribution) Epanechnikov distribution Exponential distribution Extreme Value distribution Fisher's F distribution folded Normal distribution Fréchet distribution Freud distribution Gamma distribution Gaussian distribution (see Normal distribution) Generalised Beta distribution Generalised Normal distribution (see Subbotin distribution) Gumbel Type I distribution (see Extreme Value distribution) Hahn distribution half-Cauchy distribution half-Halo distribution half-Logistic distribution half-Normal distribution Hyperbolic Secant distribution Inverse Chi-squared distribution Inverse Gamma distribution Inverse Gaussian distribution Inverse Triangular distribution Inverted Beta distribution Irwin-Hall distribution Johnson family distributions Kumaraswamy distribution Laplace distribution Leipnik distribution Levy distribution Lindley distribution Linnik distribution Logistic distribution Loglogistic distribution Lognormal distribution Lomax distribution Maxwell-Boltzmann distribution Moyal distribution noncentral Chi-squared distribution noncentral F distribution Normal distribution Normal two-component-mix distribution Pareto distribution Pareto II distribution (see Lomax) Pearson family distributions Power Exponential distribution (see Subbotin distribution) Power Function distribution Power semi-circle distribution Quartic distribution (see Bi-weight distribution) Random Walk distribution Rayleigh distribution Rectangular distribution (see Uniform distribution) Reflected Freud distribution Reflected Gamma distribution Reflected Weibull distribution Rice distribution scaled Beta distribution semi-circle distribution shifted Exponential distribution Sinc2 distribution Sine2 distribution skew-Normal distribution skew-V distribution stable distribution Stacy distribution STSP (Standard Two-Sided Power) distribution Student's t distribution Subbotin distribution Topp-Leone distribution Trapezoidal distribution Tri-cubic distribution Tri-weight distribution Triangular distribution Truncated Normal distribution U-quadratic distribution Uniform distribution V distribution Wald distribution (see Inverse Gaussian) Weibull distribution Z distribution
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Banach distribution Bernoulli distribution Beta-Binomial distribution Beta-Geometric distribution Binomial distribution difference of 2 Geometric distribution DiGamma distribution discrete Pareto distribution (see Riemann Zeta distribution) Dubey distribution Estoup distribution Fibonacci distribution Flory distribution Geometric distribution Geometric[0, ∞] distribution Gross-Miller Geometric distribution Haight's Zeta distribution Holla distribution Hunter Geometric distribution Hypergeometric distribution Inverse Binomial distribution Jackson-Nickols distribution Kelly distribution Kupper distribution Lehmann distribution Logarithmic distribution Lotka distribution Miller distribution Moran-Gani distribution Naor-Poisson distribution Negative Binomial distribution Ord-Geometric distribution (see Two-sided Geometric) Pascal distribution Poisson distribution Poisson two-component-mix distribution Poisson-Lindley distribution Polya-Aeppli distribution Prasad distribution Rademacher distribution Rectangular distribution (see Uniform distribution) Riemann Zeta distribution Schwarz-Tversky (Type 1) distribution Schwarz-Tversky (Type 3) distribution Schwarz-Tversky (Type 4) distribution Simon distribution Srinivasan distribution Takacs distribution Tambouratzis distribution Triangular distribution Triangular of order λ distribution TriGamma distribution Two-sided Geometric distribution Uniform[0,n] distribution (discrete) Uniform[a,b] distribution (discrete) Waiting-time Negative Binomial distribution Waring distribution Yanagimoto distribution (see Inverse Binomial) Yule distribution Zero-Inflated Poisson distribution (ZIP) Zeta distribution (see Riemann Zeta) Zipf distribution Zipf-Mandelbrot distribution
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The distribution palettes have also been significantly updated and re-organised, and are now sorted both alphabetically and by domain of support, with appropriate forms for each distribution already set-up for each domain of support, for maximum ease of use.
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D. Parallel Processing Engine
mathStatica 2.7’s parallel processing engine unleashes the power of your computer — automatically — featuring phenomenal speed and power for users with multi-processor machines ...
Timings in seconds using Mathematica 11 running on Mac Pro computer
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E. Help System ... decidedly uber
Click to view
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F. Major New Functions in 2.x
RandomNumber
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random number generation for essentially any discrete or continuous univariate distribution |
Maximum
Minimum |
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pdf of max(X, Y, Z, ...) [ Show me ]
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TransformProduct |
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pdf of X * Y
[ Show me ] |
OrderStatNonIdentical |
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pdf of order statistics sampling from non-identical parent distributions
[ Show me ] |
JohnsonSU
JohnsonSL |
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automated fitting for the Johnson SU and SL family
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Non-rectangular domains |
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greatly enhanced support |
Multivariate discrete |
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seamlessly extended to core functions |
Unbiased estimators |
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now all multivariate ... The entire suite of unbiased estimator functions now support arbitrary multivariate worlds. |
Moments of moments |
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now all multivariate ...
The entire suite of moments of moments functions are now multivariate.
e.g. Find the covariance between, say: and
[ Show me ] |
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G. Palettes in 2.7
mathStatica supports infinitely many distributions.
In fact, there are so many new distributions in mathStatica 2.7, there isn’t enough space to fit them all on screen. The new continuous and discrete palettes now have a scrolling design that allows us to add unlimited numbers of distributions, and to display them both alphabetically and sorted by domain of support.
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H. Easy to use
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Simply press the 'Start' button ... Incredibly easy!
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I. Rose and Smith (latest edition)
Latest book edition!
Takes full advantage of the front-end interface:
- real-time interactive animations
- dynamic links
- compatible with Mma 13
- single-click to open any section
- all seamlessly integrated
- now available with all solutions
Up-to-date electronic Mathematica text!
Single download includes everything!
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