New in Wolfram Mathematica 8: Distribuciones paramétricas de probabilidad

◄ previous | next ►

Algoritmos de núcleo

Distribuciones límite

Algunas operaciones, tales como suma, mínimo, o máximo de variables al azar convergen a solamente una pocas distribuciones límite cuando se repiten. Estas distribuciones límite incluyen NormalDistribution, StableDistribution, MinStableDistribution y MaxStableDistribution, las cuales todas están incorporadas en Mathematica 8.

In[1]:=

Click for copyable input

X

In[2]:=

Click for copyable input

X

In[3]:=

Click for copyable input

X

In[4]:=

Click for copyable input

X

Grid[Join[{Style[DisplayForm[FormBox[#, TraditionalForm]],

12] & /@ {RowBox[{FractionBox["1",

RowBox[{SqrtBox["n"], " ", "\[Sigma]"}]],

RowBox[{"(",

RowBox[{SubscriptBox["x", "1"], "+", "\[Ellipsis]", "+",

SubscriptBox["x", "n"], "-", RowBox[{"\[Mu]", " ", "n"}]}],

")"}]}],

RowBox[{FractionBox["1",

SuperscriptBox["n", RowBox[{"1", "/", "\[Alpha]"}]]],

RowBox[{"(",

RowBox[{SubscriptBox["x", "1"], "+", "\[Ellipsis]", "+",

SubscriptBox["x", "n"]}], ")"}]}],

RowBox[{RowBox[{SubscriptBox["a", "n"], " ",

RowBox[{"max", "(",

RowBox[{SubscriptBox["x", "1"], ",", "\[Ellipsis]", ",",

SubscriptBox["x", "n"]}], ")"}]}], "+",

SubscriptBox["b", "n"]}]}}, {clt, gclt, max} //

Transpose, {Style[#, 14, Bold,

FontFamily -> "Helvetica"] & /@ {NormalDistribution,

StableDistribution, MaxStableDistribution}}],

Dividers -> {{False, True, True, False}, {False, True, True, True,

False, {False}}}, FrameStyle -> LightGray]

Out[4]=