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 -->
@@ Line 6: / Line 7: @@
 Declaration:
-: [[Smooth_Fractile]](fract: Ascending[F]; F: positive ascending Index)
+:[[Smooth_Fractile]](fract: Ascending[F]; F: positive ascending Index)
 == Library ==
-Distribution Variations.ana
+Distribution Variations library  ([[media:Distribution Variations.ana|Distribution Variations.ana]])
+:Use [[File menu|File]] &rarr; '''Add Library...''' to add this library
 == 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 := Tabl(F) (7, 13, 15)</code>
+:<code>fract := [[Table]](F) (7, 13, 15)</code>
 and call
 :<code>Smooth_Fractile(fract, F)</code>
+:[[image:Smooth_fractile_CDF.png]][[image:Smooth_fractile_PDF.png]]
 ==See Also==
+* [[media:Distribution Variations.ana | Distribution Variations.ana]]
 * [[Fractiles]]
 * [[Table]]
 * [[Kernel Density Smoothing]]
 * [[Distribution Densities Library]]
+* [[Keelin (MetaLog) distribution]]