mistr包的文档说明书-Linux大棚

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2024年12月29日发(作者：织梦游戏)

ExtensionsinthemistrWorld

LukasSablica

andKurtHornik

InstituteforStatisticsandMathematics,WUWirtschaftsuniversitätWien,Austria;/en/statmath

ThisversionwascompiledonFebruary22,2023

Themainaimofthisvignetteistointroduceseveralavailableoptionsfor

ﬁrstplace,weintroducetheimplementationof

adistributionthatisnotdirectlysupportedbytheframework,followedby

showhowtoaddanewtransformationand

howthisnewtransformationcanbeimprovedifsomedirectandinvariant

atthisvignetteservesasaguide-

bookforextensionsinthemistrframeworkanddoesnotcoverexamples

remoredeeplydescribedintheintroduc-

tionvignette.

newdistribution

library(mistr)

Whiletheframeworkprovided

bythemistrpackagecurrentlysup-

portsalldistributionsthatarein-

cludedintheR

stats

packageand

manymoreaswell,thereareand

alwayswillbespeciﬁcdistributions

thatarenotcoveredinthepackage

code,andthusmustbeaddedby

theuser.

Insuchcase,anewdistribution

canbeaddedinaverysimpleway.

Undertheassumptionthatthe[pre-

ﬁx][name]functions(

,and

)areloadedinthesearchpath,theonlyadditionalfunctionthat

isneededisthefunctionthatwillcreatetheobjectrepresenting

nbebestexplainedonaconcrete

ionthatcreatesanobjectforuniformdistribution

isdesignedasfollows:

unifdist<-function(min=0,max=1){

if(!c(min)||!c(max)){

}

stop("parametersmustbeanumeric")

if(min>=max){

}

stop("minmustbesmallerthanmax")

x<-list(parameters

type=

=list(min=min,max=max),

class(x)<-

support

"Uniform"

c("unifdist"

=list(from

=min,to=max))

"univdist"

"contdist"

"dist")

,"standist",

}

Asthesourcecodeindicates,theonlyargumentsofthefunction

rinformationthattheuserpasses

isthedistributionfamily,whichissetaccordingtothefunction

toftheinformationisfullydeterminedbythesetwo

characterizations.

/package=mistr

Theclasscontainsthemotherclassdistandaclassunivdist,

which,unliketheclasstrans_univdist,expressesthatthedistri-

assisthestandistclassthat

indicatesthatwearedealingwithastandarddistribution,and

ssofstandist

isthensplitintocontinuousanddiscretedistributions,andthis

tclassis

,whilethelastthree

classesarepresentforinternalpurpose,theﬁrsttwoclassesmust

besetbytheuseraccordingtothenewdistribution.

Toshowalsoanexampleofadistributionthatisnotyetsup-

portedby

mistr

,wedemonstratethediscreteuniformdistribu-

teuniformdistribution,alsoknownasequallylikely

outcomesdistribution,isaprobabilitydistributionwhereaﬁnite

ough

thedistributionitselfisnon-parametric,itisbroadlyacceptable

torepresentitsvaluesbyallintegersinaninterval[min,max].

Thisoffersinasamewayasthecontinuousuniformdistributiona

parametricrepresentationusingthetwoparameters,minandmax.

Usingthesetwoparameters,thecumulativedistributionfunction

andtheprobabilitydensityfunctionareequalto



F(x)=



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