# Package examples

- Class Summary
  Class | Description
  --- | ---
  E10Mtx | Example for the solution of the least squares problem with constraints
  E1Anova | Example demonstrating the use of class AnanysisOfVariance
  E1Distrib | Example simulating empirical frequency and demonstrating statistical fluctuations using method DatanRandom.ecuy
  E1Gr | Example demonstrating the basic methods of class DatanGrphics
  E1Lsq | Example demonstrating the fit of polynomials of different degrees to dat
  E1MaxLike | Example simulating decay times and determining mean life by maximum likelihood
  E1Min | Example demonstrating the use of various minimization methods
  E1Mtx | Examples for simple matrix and vector operations
  E1Random | Example for the creation of random numbers
  E1Reg |
  E1Sample | Example drawing a sample from the standard noraml distribution and computing various sample quantities
  E1Test | Example simulating 2 Gaussian samples and performing an F-test for equality of variances
  E1TimSer | Example demonstrating a time series analysis
  E2Anova | Example performing an analysis of variance on simulated data
  E2Distrib | Example simulating the experiment by Rutherford and Geiger on the statistical nature of radioactive decays
  E2Gr | Example demonstrating the use of method DatanGraphics.drawMark
  E2Lsq | Example demonstrating the fit of a linear function to data
  E2MaxLike | Example estimating by the maximum-likelihood method the parameters of a bivariate Gaussian
  E2Min | Example demonstrating the use of class MinCov by fitting a Gaussian to small sample and determining errors of parameters by MinCov
  E2Mtx | Examples for manipulation of submatrices and subvectors
  E2Random | Example creating points fluctuating about a straight line, using the method DatanRandom.line
  E2Reg |
  E2Sample | Example demonstrating the use of the classes Histogram and GraphicsWithHistogram
  E2Test | Example simulating a Gaussian sample and performing a t-test on its mean
  E2TimSer | Example demonstrating atime series analysis
  E3Distrib | Example simulating simulating Galton's board and demonstratng statistical fluctuation
  E3Gr | Example demonstrating use of method DatanGraphics.drawPoint
  E3Lsq | Example demonstrating the fit of a nonlinear function to data
  E3Min | Example demonstrating the use of class MinAsy by fitting a Gaussian to small sample and determining the asymmetric errors of parameters by MinAs
  E3Mtx | Examples for use of Givens transformations
  E3Random | Example simulating decay times for a radioactive source with two components using the method DatanRandom.radio
  E3Reg |
  E3Sample | Example producing a random sample from a bivariate Gaussian distribution and presenting it in a 2D scatter diagram
  E3Test | Example simulating chi-squared tests of measurements
  E4Gr | Example for the use of method DatanGraphics.drawContour
  E4Lsq | Example demonstrating the fit of a nonlinear function to data
  E4Min | Example performing the fit of a Gaussian to a histogram
  E4Mtx | Examples for use of Householder transformations
  E4Random | Example producing a random sample from a bivariate Gaussian distribution
  E4Reg |
  E4Sample | Example demonstrating the use of the class SmallSample to compute confidence limits on the Poisson parameter in the presence of background
  E5Gr | Example demonstrating the use of methods DatanGrphics.drawCoordinateCross and DatanGrphics.setParametersForScale
  E5Lsq | Example demonstrating the fit of a nonlinear function to data using LsqMar
  E5Mtx | Examples for solving matrix equations
  E5Sample | Example demonstrating the use of the class SmallSample to compute confidence limits on the ratio of signal and reference events in the presence of background
  E6Gr | Example for the use of class GraphicsWithHistogramAndPolyline
  E6Lsq | Example demonstrating the general case of least squares fitting
  E6Mtx | Examples for Cholesky decomposition and inversion
  E6Sample | Example simulating experiments with few events and background
  E7Gr | Example for the use of class GraphicsWithDataPointsAndPolyline
  E7Lsq | Example demonstrating the general case of least squares fitting, one unknown fixed
  E7Mtx | Examples for computation of psudoinverse of a square matrix
  E7Sample | Example simulating experiments with few signal events and with reference events
  E8Gr | Example for the use of classes GraphicsWithDataPointsAndPolyline and GraphicsWithDataPointsAndMultiplePolylines
  E8Lsq | Example demonstrating the the problem of constrained measurements
  E8Mtx | Examples for the solution of matrix equations by singular value decomposition
  E9Lsq | Example demonstrating the general case of least squares fitting, including plot of parameter plane with confidence region and asymmetric errors.
  E9Mtx | Example for use of Marquardt's method in connection with singular value decomposition
  FunctionsDemo | Class demonstrating the computation of various functions of mathematical statistics, of the gamma function and related functions