Основные алгоритмы

Вычисление любого из более чем 30 свойств непараметрических распределений 

In[1]:=

X fgrid[list_, {col1_, col2_}] := TraditionalForm@ Grid[list, Dividers -> All, Spacings -> {{1, 1}, 4}, Alignment -> {Left, Center, {{1, 1} -> {Center}, {1, 2} -> {Center}}}, BaseStyle -> {FontFamily -> "Verdana"}, Background -> {None, {Lighter[ Blend[{col1, col2}], .5], {Lighter[Blend[{col1, col2}], .8], GrayLevel[.9]}}}, FrameStyle -> Directive[Thick, White]]

In[2]:=

X \[ScriptCapitalD] = KernelMixtureDistribution[Thread[Subscript[x, Range[3]]], h];

In[3]:=

X fgrid[Join[{{Style["Property", Bold], Style["Value", Bold]}}, Table[{Quiet[ i[[1]][If[i[[2]] =!= {}, Sequence @@ {"\[ScriptCapitalD]", i[[2]]}, "\[ScriptCapitalD]"]]], i[[1]][If[i[[2]] =!= {}, Sequence @@ {\[ScriptCapitalD], i[[2]]}, \[ScriptCapitalD]]] // FullSimplify}, {i, {{PDF, x}, {CDF, x}, {Mean, {}}, {Variance, {}}, {Skewness, {}}, {Kurtosis, {}}, \ {CharacteristicFunction, t}}}]], {Blue, Black}]

Out[3]//TraditionalForm=