Difference between revisions of "Smooth Fractile"

Latest revision as of 00:32, 10 June 2021

Smooth_Fractile(fract, F)

Given a set of fractiles, this function returns a smooth distribution with tails having the indicated fractiles. The fractiles to use must be specified in «F», each value being between 0 and 1, and the fractile values must be in «fract».

Declaration:

Smooth_Fractile(fract: Ascending[F]; F: positive ascending Index)

Library

Distribution Variations library (Distribution Variations.ana)

Use File → Add Library... to add this library

Example

To specify a distribution having a P10, P50 and P90 of 7, 13, and 15, set:

F := [0.1, 0.5, 0.9]

fract := Table(F) (7, 13, 15)

and call

Smooth_Fractile(fract, F)

$Smooth fractile CDF.png$ $Smooth fractile PDF.png$

@@ Line 1: / Line 1: @@
-[[category:Distribution Functions]]
+[[Category:Distribution Functions]]
+[[Category: Distribution Variations library functions]]
 [[Category:Doc Status C]] <!-- For Lumina use, do not change -->
-= Smooth_Fractile(fract : Ascending[F] ; F : positive ascending Index ) =
+== Smooth_Fractile(fract, F) ==
+Given a set of fractiles, this function returns a smooth distribution with tails having the indicated fractiles.  The fractiles to use must be specified in «F», each value being between 0 and 1, and the fractile values must be in «fract».
-Given a set of fractiles, this returns a smooth distribution with tails having the indicated fractiles.  The fractiles to use must be specified in F, each value being between 0 and 1, and the fractile values must be in fract.
+Declaration:
+:[[Smooth_Fractile]](fract: Ascending[F]; F: positive ascending Index)
-= Library =
+== Library ==
+Distribution Variations library  ([[media:Distribution Variations.ana|Distribution Variations.ana]])
+:Use [[File menu|File]] &rarr; '''Add Library...''' to add this library
-Distribution Variations.ana
+== Example ==
+To specify a distribution having a ''P10'', ''P50'' and ''P90'' of 7, 13, and 15, set:
+:<code>F := [0.1, 0.5, 0.9]</code>
+:<code>fract := [[Table]](F) (7, 13, 15)</code>
-= Example =
+and call
+:<code>Smooth_Fractile(fract, F)</code>
+:[[image:Smooth_fractile_CDF.png]][[image:Smooth_fractile_PDF.png]]
-To specify a distribution having a P10, P50 and P90 of 7, 13, and 15, set:
+==See Also==
-F := [0.1, 0.5, 0.9]
+* [[media:Distribution Variations.ana | Distribution Variations.ana]]
-fract := [[Table]](F) ( 7, 13, 15 )
+* [[Fractiles]]
-and call Smooth_Fractile(fract,F)
+* [[Table]]
+* [[Kernel Density Smoothing]]
+* [[Distribution Densities Library]]
+* [[Keelin (MetaLog) distribution]]