Alphabetical List of Statistics Commands & Probability Distributions - Maple Help

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Alphabetical List of Statistics Commands & Probability Distributions

 

Commands

Inventory of Probability Distributions

Commands

  

Here is the list of all commands available in the Statistics package.

  

 

AbsoluteDeviation

compute the average absolute deviation

AgglomeratedPlot

generate agglomerated plots

AreaChart

create area charts from data

AutoCorrelation

compute autocorrelations

BarChart

create bar charts from data

Biplot

generate biplots

Bootstrap

compute bootstrap statistics

BoxPlot

create box plots from data

BubblePlot

generate bubble plots

CDF

cumulative distribution function

CentralMoment

central moments

CGF

cumulant generating function

CharacteristicFunction

characteristic function

ChiSquareGoodnessOfFitTest

apply the chi-square test for goodness-of-fit

ChiSquareIndependenceTest

apply the chi-square test for independence in a matrix

ChiSquareSuitableModelTest

apply the chi-square suitable model test

ColumnGraph

create column graphs from data

Correlation

correlation/correlation matrix

Count

compute number/total weight of observations

CountMissing

compute number/total weight of missing values

Covariance

covariance/covariance matrix

CrossCorrelation

compute cross-correlations of two time series

Cumulant

cumulants

CumulantGeneratingFunction

cumulant generating function

CumulativeDistributionFunction

cumulative distribution function

CumulativeProduct

compute cumulative products

CumulativeSum

compute cumulative sums

CumulativeSumChart

generate cumulative sum charts

DataSummary

seven summary statistics

Decile

deciles

DensityPlot

plot the density of a random variable

Distribution

create new distribution

ErrorPlot

generate error plots

EvaluateToFloat

evaluate data using floating-point arithmetic

Excise

remove data items based on density

ExpectedValue

compute expected values

ExponentialFit

fit an exponential function to data

ExponentialSmoothing

apply exponential smoothing to a data set

FailureRate

hazard (failure) rate

FisherInformation

Fisher information

Fit

fit a model function to data

FivePointSummary

five-point summary

FrequencyPlot

generate frequency plots

FrequencyTable

frequency table

GeometricMean

geometric mean

GridPlot

generate a grid of plots

HarmonicMean

harmonic mean

HazardRate

hazard (failure) rate

HeatMap

generate heat maps

Histogram

generate histograms

HodgesLehmann

Hodges-Lehmann statistic

Information

statistical information

InteractiveDataAnalysis

display interactive interface to data analysis tools

InterquartileRange

interquartile range

InverseSurvivalFunction

inverse survival function

Join

join data samples

KernelDensity

estimate the probability density of a data set

KernelDensityPlot

plot the kernel density estimate of a data set

KernelDensitySample

sample a kernel density estimate

Kurtosis

kurtosis

Likelihood

likelihood function

LikelihoodRatioStatistic

compute the likelihood ratio statistic

LinearFilter

apply linear filter to a data set

LinearFit

fit a linear model function to data

LineChart

generate line charts

LogarithmicFit

fit a logarithmic function to data

LogLikelihood

log likelihood function

Lowess

produce lowess smoothed functions

MakeProcedure

generate a procedure for calculating statistical quantities

MaximumLikelihoodEstimate

compute the maximum likelihood estimate

Mean

arithmetic mean

MeanDeviation

average absolute deviation from the mean

Median

median

MedianDeviation

compute the median absolute deviation

MGF

moment generating function

MillsRatio

Mills ratio

Mode

mode

Moment

moments

MomentGeneratingFunction

moment generating function

MovingAverage

compute moving averages for a data set

MovingMedian

compute moving medians for a data set

MovingStatistic

compute moving statistics for a data set

NonlinearFit

fit a nonlinear model function to data

NormalPlot

generate normal plots

OneSampleChiSquareTest

apply the one sample chi-square test for the population standard deviation

OneSampleTTest

apply the one sample t-test for the population mean

OneSampleZTest

apply the one sample z-test for the population mean

OneWayANOVA

generate a one-way ANOVA table

OrderByRank

order data items according to their ranks

OrderStatistic

order statistics

PCA

principal component analysis

PDF

probability density function

Percentile

percentiles

PieChart

generate pie charts

PointPlot

generate point plots

PolynomialFit

fit a polynomial to data

PowerFit

fit a power function to data

PredictiveLeastSquares

fit a predictive linear model function to data

PrincipalComponentAnalysis

principal component analysis

Probability

compute the probability of an event

ProbabilityDensityFunction

probability density function

ProbabilityFunction

probability function

ProbabilityPlot

generate probability plots

ProfileLikelihood

plot a profile of the likelihood function

ProfileLogLikelihood

plot a profile of the log likelihood function

QuadraticMean

quadratic mean

Quantile

compute quantiles

QuantilePlot

generate quantile-quantile plots

Quartile

quartiles

RandomVariable

create new random variable

Range

range

Rank

rank data items according to their numeric values

Remove

remove data items satisfying a condition

RemoveInRange

remove data items which belong to the given range

RemoveNonNumeric

remove non-numeric values

RepeatedMedianEstimator

robust linear regression

RousseeuwCrouxQn

Rousseeuw and Croux' Qn

RousseeuwCrouxSn

Rousseeuw and Croux' Sn

Sample

generate random sample

Scale

center and/or scale a set of data

ScatterPlot

generate scatter plots

ScatterPlot3D

generate 3D scatter plots

Score

statistical score

ScreePlot

generate scree plots for variance

Select

select data items satisfying a condition

SelectInRange

select data items which belong to the given range

SelectNonNumeric

select non-numeric values

ShapiroWilkWTest

apply Shapiro and Wilk's W-test for normality

Shuffle

apply random permutation to a data sample

Skewness

skewness

Sort

sort numeric data

SplitByColumn

split matrix data into submatrices

StandardDeviation

standard deviation

StandardError

standard error of the sampling distribution

StandardizedMoment

standardized moments

SunflowerPlot

generate sunflower plots

Support

support set of a random variable

SurfacePlot

generate surface plots

SurvivalFunction

survival function

SymmetryPlot

generate symmetry plots

Tally

compute data frequencies

TallyInto

compute cumulative data frequencies

TreeMap

generate tree maps

Trim

trim data set

TrimmedMean

trimmed mean

TwoSampleFTest

apply the two sample F-test for population variances

TwoSamplePairedTTest

apply the paired t-test for population means

TwoSampleTTest

apply the two sample t-test for population means

TwoSampleZTest

apply the two sample z-test for population means

Variance

variance

Variation

coefficient of variation

WeightedMovingAverage

compute weighted moving averages for a data set

Winsorize

winsorize data set

WinsorizedMean

winsorized mean

Inventory of Probability Distributions

  

Here is the list of continuous and discrete probability distributions as well as tools for creating new distributions.

  

 

Bernoulli

Bernoulli distribution

Beta

beta distribution

Binomial

binomial distribution

Cauchy

Cauchy distribution

ChiSquare

chi-square distribution

DiscreteUniform

discrete uniform distribution

DiscreteValueMap

create a noninteger discrete distribution

Distribution

create new distribution

EmpiricalDistribution

empirical distribution

Erlang

Erlang distribution

Error

error (exponential power) distribution

Exponential

exponential distribution

FRatio

Fisher f-distribution

Gamma

gamma distribution

Geometric

geometric distribution

Gumbel

Gumbel distribution

Hypergeometric

hypergeometric distribution

InverseGaussian

inverse Gaussian (Wald) distribution

Laplace

Laplace distribution

Logistic

logistic distribution

LogNormal

log normal distribution

Maxwell

Maxwell distribution

Moyal

Moyal distribution

NegativeBinomial

negative binomial (Pascal) distribution

NonCentralBeta

noncentral beta distribution

NonCentralChiSquare

noncentral chi-square distribution

NonCentralFRatio

noncentral f-distribution

NonCentralStudentT

noncentral t-distribution

Normal

normal (Gaussian) distribution

Pareto

Pareto distribution

Poisson

Poisson distribution

Power

power distribution

ProbabilityTable

probability table

Rayleigh

Rayleigh distribution

StudentT

Student-t distribution

Triangular

triangular distribution

Uniform

uniform (rectangular) distribution

VonMises

von Mises distribution

Weibull

Weibull distribution

See Also

Statistics

 


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