SmoothDateHistogram [{date₁,date₂,…}]

plots a smooth kernel histogram for the PDF of the dates date_i.

SmoothDateHistogram [{date₁,date₂,…},espec]

plots a smooth kernel histogram with estimator specification espec.

SmoothDateHistogram [{date₁,date₂,…},espec,dfun]

plots the distribution function dfun.

SmoothDateHistogram [{data₁,data₂,…},…]

plots smooth kernel histograms for multiple datasets data_i.

• SmoothDateHistogram is also known as nonparametric kernel density estimator or kernel estimator.
• SmoothDateHistogram plots for a smoothing kernel as an estimate of the PDF .
• Possible forms of date_i include:
• DateObject ,TimeObject date or time object
  "string" DateString specification
  {y,m,d,h,m,s} DateList specification
  {y},{y,m},{y,m,d},… shortened date list
  t absolute time given as a single number
• Datasets data_i have the following forms and interpretations:
• {date₁,date₂,…} list of dates or times
  <|"k₁"date₁,"k₂"date₂,…|> the values in an association
  EventSeries ,TimeSeries the times in time series
  w[data_i] wrapper applied to a dataset data_i
• SmoothDateHistogram [Tabular […]cspec] extracts and plots values from the tabular object using the column specification cspec.
• The following forms of column specifications cspec are allowed for plotting tabular data:
• col_x create a histogram for the dates in column col_x
  {col_x1,col_x2,…} create histograms for columns col_x1, col_x2, …
• The estimator specification espec can be of the form bw or {bw,kernel}.
• The following bandwidth specifications bw can be given:
• Quantity [amt,"unit"] bandwidth as a length of time, eg. 5 years
  "Year","Month","Day",… use date elements for the bandwidth
  {"Standardized",h} bandwidth in units of standard deviations
  {"Adaptive",h,s} adaptive with initial bandwidth h and sensitivity s
  Automatic automatically computed bandwidth
  "name" use a named bandwidth selection method
  {bw_x,bw_y,…} separate bandwidth specifications for x, y, etc.
• For adaptive bandwidths, the sensitivity s must be a real number between 0 and 1 or Automatic . If Automatic is used, s is set to .
• Possible named bandwidth selection methods include:
• "LeastSquaresCrossValidation" use the method of least-squares cross-validation
  "Oversmooth" 1.08 times wider than the standard Gaussian
  "Scott" use Scott's rule to determine bandwidth
  "SheatherJones" use the Sheather–Jones plugin estimator
  "Silverman" use Silverman's rule to determine bandwidth
  "StandardDeviation" use the standard deviation as bandwidth
  "StandardGaussian" optimal bandwidth for standard normal data
• By default, the "Silverman" method is used.
• For automatic bandwidth computation, constant arrays are assumed to have unit variance.
• The following kernel specifications ker can be given:
• "Biweight"
  "Cosine"
  "Epanechnikov"
  "Gaussian"
  "Rectangular"
  "SemiCircle"
  "Triangular"
  "Triweight"
  func f_n u in R
• Possible distribution functions dfun include:
• "PDF" probability density function
  "Intensity" count density function
  "CDF" cumulative distribution function
  "SF" survival function
  "HF" hazard function
  "CHF" cumulative hazard function
• The following wrappers w can be used for datasets data_i:
• Annotation [data_i,label] provide an annotation
  Button [data_i,action] define an action to execute when the curve is clicked
  EventHandler [data_i,…] define a general event handler for the curve
  Hyperlink [data_i,uri] make the curve act as a hyperlink
  Labeled [e,…] display the curve with labeling
  Legended [data_i,…] identify the curve in a legend
  PopupWindow [data_i,cont] attach a popup window to the curve
  StatusArea [data_i,label] display in the status area when the curve is moused over
  Style [data_i,opts] show the curve using the specified styles
  Tooltip [data_i,label] attach an arbitrary tooltip to the curve
• SmoothHistogram has the same options as Graphics with the following additions and changes:
• AspectRatio 1/GoldenRatio ratio of width to height
  Axes True whether to draw axes
  ClippingStyle None what to draw where curves are clipped
  ColorFunction Automatic how to determine the coloring of curves
  ColorFunctionScaling True whether to scale arguments to ColorFunction
  DateFunction Automatic how to convert dates to standard form
  DateTicksFormat Automatic format for date tick labels
  Filling None filling to insert under each curve
  FillingStyle Automatic style to use for filling
  MaxRecursion Automatic the maximum number of recursive subdivisions allowed
  Mesh None how many mesh points to draw on each curve
  MeshFunctions {#1&} how to determine the placement of mesh points
  MeshShading None how to shade regions between mesh points
  MeshStyle Automatic the style for mesh points
  Method Automatic methods to use
  PerformanceGoal $PerformanceGoal aspects of performance to try to optimize
  PlotHighlighting Automatic highlighting effect for curves
  PlotPoints Automatic initial number of sample points
  PlotRange Automatic range of values to include
  PlotRangeClipping True whether to clip at the plot range
  PlotStyle Automatic graphics directives to specify the style for each object
  PlotTheme $PlotTheme overall theme for the plot
  RegionFunction (True&) how to determine whether a point should be included
  ScalingFunctions None how to scale individual coordinates
  WorkingPrecision MachinePrecision the precision used in internal computations for symbolic distributions
• Typical settings for PlotLegends include:
• None no legend
  Automatic automatically determine legend
  {lbl₁,lbl₂,…} use lbl₁, lbl₂, … as legend labels
  Placed [lspec,…] specify placement for legend
• PlotStyle sty specifies the styles to use for each curve. Possible settings include:
• {sty₁,sty₂,…} sequence of styles for the datasets
  <|"key"val,…|> styling elements for different levels of data
• The accepted keys are:
• "Base" overall style for all the data_i
  "Lists" list of styles sty_i for each data_i
• ColorData ["PlotColors"] gives the default sequence of colors used by PlotStyle .
• Possible settings for PlotLayout that show single curves in multiple plot panels include:
• "Column" use separate curves in a column of panels
  "Row" use separate curves in a row of panels
  {"Column",k},{"Row",k} use k columns or rows
  {"Column",UpTo [k]},{"Row",UpTo [k]} use at most k columns or rows
• The arguments supplied to RegionFunction , MeshFunctions and ColorFunction are x and f, where f can be the PDF , CDF , etc. of the distribution.
• Possible highlighting effects for Highlighted and PlotHighlighting include:
• style highlight the indicated curve
  "Ball" highlight and label the indicated point in a curve
  "Dropline" highlight and label the indicated point in a curve with drop lines to the axes
  "XSlice" highlight and label all points along a vertical slice
  "YSlice" highlight and label all points along a horizontal slice
  Placed [effect,pos] statically highlight the given position pos
• Highlight position specifications pos include:
• x,{x} effect at {x,y} with y chosen automatically
  {x,y} effect at {x,y}
  {pos₁,pos₂,…} multiple positions pos_i
• With ScalingFunctions ->{s_x,s_y}, the coordinate is scaled using s_x, and the coordinate is scaled using s_y.

Basic Examples  (4)

Scope  (21)

Options  (78)