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Chapter7:MathematicalExpressions
53
[Function]
RTRIM
(
string
)
Returns string, , afterremoving trailing spaces. . Other r typesofwhitespaceare not
removed.
[Function]
RTRIM
(
string
,
padding
)
Returnsstring,afterremovingtrailingpaddingcharacters.Ifpadding doesnotcon-
tainexactlyonecharacter,returnsanemptystring.
[Function]
STRING
(
number
,
format
)
Returns a stringcorrespondingto number r inthe e format givenby format specifier
format.Forexample,STRING(123.56,F5.1)hasthevalue"123.6".
[Function]
STRUNC
(
string
,
n
)
Returns string,first trimmingit toatmost nbytes,thenremovingtrailingspaces.
Returnsanemptystringifnismissingornegative.
[Function]
SUBSTR
(
string
,
start
)
Returnsastringconsistingofthevalueofstringfrompositionstartonward. Returns
anemptystringifstart issystem-missing,lessthan1,orgreaterthanthelengthof
string.
[Function]
SUBSTR
(
string
,
start
,
count
)
Returns a a string consisting of f the first count characters s from m string g beginning g at
positionstart.Returnsanemptystringifstartorcountissystem-missing,ifstartis
lessthan1orgreaterthanthenumberofcharactersinstring,orifcountislessthan
1.Returnsastringshorterthancountcharactersifstart+count-1isgreaterthan
thenumberofcharactersinstring. Examples: : SUBSTR("abcdefg",3,2)hasvalue
"cd";SUBSTR("nonsense",4,10)hasthevalue"sense".
[Function]
UPCASE
(
string
)
Returnsstring,changinglowercaseletterstouppercaseletters.
7.7.8 Time&DateFunctions
Forcompatibility, pspp considers s datesbefore15 Oct1582invalid. . Mosttime e anddate
functionswillnotacceptearlierdates.
7.7.8.1 Howtimes&datesaredefinedandrepresented
Times and d dates s are handled d by y pspp p as single numbers. . Atime e is s aninterval. . pspp
measures times in seconds. . Thus, , the following g intervals s correspond with h the numeric
valuesgiven:
10 minutes
600
1 hour
3,600
1 day, 3 hours, 10 seconds
97,210
40 days
3,456,000
A date, , on n the e other hand, is a a particular instant t in the past or the e future. . pspp
representsadateasanumberofsecondssincemidnightpreceding14Oct1582. Because
midnightprecedingthedatesgivenbelowcorrespondwiththenumericpsppdatesgiven:
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Chapter7:MathematicalExpressions
54
15 Oct t 1582
86,400
4 Jul l 1776
6,113,318,400
1 Jan n 1900
10,010,390,400
1 Oct t 1978
12,495,427,200
24 Aug g 1995
13,028,601,600
7.7.8.2 FunctionsthatProduceTimes
Thesefunctionstakenumericargumentsandreturnnumericvaluesthatrepresenttimes.
[Function]
TIME.DAYS
(
ndays
)
Returnsatimecorrespondingtondaysdays.
[Function]
TIME.HMS
(
nhours
,
nmins
,
nsecs
)
Returns atimecorrespondingtonhours s hours, nmins s minutes, , andnsecs s seconds.
Theargumentsmaynothavemixedsigns:ifanyofthemarepositive,thennonemay
benegative,andviceversa.
7.7.8.3 FunctionsthatExamineTimes
Thesefunctionstakenumericargumentsinpspptimeformatandgivenumericresults.
[Function]
CTIME.DAYS
(
time
)
Resultsinthenumberofdaysandfractionaldaysintime.
[Function]
CTIME.HOURS
(
time
)
Resultsinthenumberofhoursandfractionalhoursintime.
[Function]
CTIME.MINUTES
(
time
)
Resultsinthenumberofminutesandfractionalminutesintime.
[Function]
CTIME.SECONDS
(
time
)
Results inthenumberofseconds andfractionalsecondsin n time. . (CTIME.SECONDS
doesnothing;CTIME.SECONDS(x)isequivalenttox.)
7.7.8.4 FunctionsthatProduceDates
These functions s take e numeric c arguments s and d give numeric results that represent t dates.
Argumentstakenbythesefunctionsare:
day
Referstoaday ofthemonthbetween1and31. . Day0 0 isalsoacceptedand
referstothefinaldayofthepreviousmonth.Days29,30,and31areaccepted
eveninmonthsthathavefewerdaysandrefertoadaynearthebeginningof
thefollowingmonth.
month
Referstoa monthof the year between1 and12. . Months s 0 and13 arealso
acceptedandrefertothelastmonthoftheprecedingyearandthefirstmonth
ofthefollowingyear,respectively.
quarter
Referstoaquarteroftheyearbetween1and4.Thequartersoftheyearbegin
onthefirstdayofmonths1,4,7,and10.
week
Referstoaweekoftheyearbetween1and53.
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Chapter7:MathematicalExpressions
55
yday
Referstoadayoftheyearbetween1and366.
year
Referstoayear,1582orgreater.Yearsbetween0and99aretreatedaccording
to the epoch set onSET EPOCH, by default beginning69years beforethe
currentdate(see[SETEPOCH],page162).
Ifthesefunctions’argumentsareout-of-range,theyarecorrectlynormalizedbeforecon-
versiontodateformat.Non-integersareroundedtowardzero.
[Function]
DATE.DMY
(
day
,
month
,
year
)
[Function]
DATE.MDY
(
month
,
day
,
year
)
Resultsinadatevaluecorrespondingtothemidnightbeforedaydayofmonthmonth
ofyearyear.
[Function]
DATE.MOYR
(
month
,
year
)
Resultsinadatevaluecorrespondingtothemidnightbeforethefirstdayofmonth
monthofyearyear.
[Function]
DATE.QYR
(
quarter
,
year
)
Resultsinadatevaluecorrespondingtothemidnightbeforethefirstdayofquarter
quarter ofyearyear.
[Function]
DATE.WKYR
(
week
,
year
)
Results inadatevaluecorresponding to the midnight beforethefirst dayof week
week ofyearyear.
[Function]
DATE.YRDAY
(
year
,
yday
)
Resultsinadatevaluecorrespondingtothedayyday ofyearyear.
7.7.8.5 FunctionsthatExamineDates
These functions take numeric arguments s inpspp date e or time format and give numeric
results. Thesenamesareusedforarguments:
date
Anumericvalueinpsppdateformat.
time
Anumericvalueinpspptimeformat.
time-or-date
Anumericvalueinpspptimeordateformat.
[Function]
XDATE.DATE
(
time-or-date
)
Foratime,resultsinthetimecorrespondingtothenumberofwholedays date-or-
timeincludes.Foradate,resultsinthedatecorrespondingtothelatestmidnightat
orbeforedate-or-time;thatis,givesthedatethatdate-or-timeisin.
[Function]
XDATE.HOUR
(
time-or-date
)
Foratime,resultsinthenumberofwholehoursbeyondthenumberofwholedays
representedbydate-or-time. Foradate,resultsinthehour(asanintegerbetween0
and23)correspondingtodate-or-time.
[Function]
XDATE.JDAY
(
date
)
Results inthe dayoftheyear (asaninteger between1and366)corresponding to
date.
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Chapter7:MathematicalExpressions
56
[Function]
XDATE.MDAY
(
date
)
Resultsintheday ofthemonth(asanintegerbetween1and31) correspondingto
date.
[Function]
XDATE.MINUTE
(
time-or-date
)
Resultsinthenumberofminutes(asanintegerbetween0and59)afterthelasthour
intime-or-date.
[Function]
XDATE.MONTH
(
date
)
Resultsinthemonthoftheyear(asanintegerbetween1and12)correspondingto
date.
[Function]
XDATE.QUARTER
(
date
)
Resultsinthequarteroftheyear(asanintegerbetween1and4)correspondingto
date.
[Function]
XDATE.SECOND
(
time-or-date
)
Results inthenumberofwholesecondsafter thelast wholeminute(as aninteger
between0and59)intime-or-date.
[Function]
XDATE.TDAY
(
date
)
Resultsinthenumberofwholedaysfrom14Oct1582todate.
[Function]
XDATE.TIME
(
date
)
Resultsinthetimeofdayattheinstantcorrespondingtodate,asatimevalue. This
isthenumberofsecondssincemidnightonthedaycorrespondingtodate.
[Function]
XDATE.WEEK
(
date
)
Results inthe weekoftheyear (as anintegerbetween1and53)corresponding to
date.
[Function]
XDATE.WKDAY
(
date
)
Results inthe dayofweek(as anintegerbetween1 and7) correspondingtodate,
where1representsSunday.
[Function]
XDATE.YEAR
(
date
)
Returnstheyear(asaninteger1582orgreater)correspondingtodate.
7.7.8.6 TimeandDateArithmetic
Ordinaryarithmeticoperationsondatesandtimesoftenproducesensibleresults. Adding
atimeto,orsubtractingonefrom,adateproducesanewdatethatmuchearlierorlater.
Thedifferenceoftwodatesyieldsthetimebetweenthosedates.Addingtwotimesproduces
thecombinedtime.Multiplyingatimebyascalarproducesatimethatmanytimeslonger.
Sincetimes anddates arejust numbers,theordinary additionandsubtractionoperators
areemployedforthesepurposes.
Addingtwodatesdoesnotproduceausefulresult.
Datesandtimesmayhaveverylargevalues.Thus,itisnotagoodideatotakepowers
ofthesevalues;also,theaccuracyofsomeproceduresmaybeaffected. Ifnecessary,convert
timesordatesinsecondstosomeotherunit,likedaysoryears,beforeperforminganalysis.
psppsuppliesafewfunctionsfordatearithmetic:
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Chapter7:MathematicalExpressions
57
[Function]
DATEDIFF
(
date2
,
date1
,
unit
)
Returnsthespanoftimefromdate1todate2intermsofunit,whichmustbeaquoted
string,oneof‘years’,‘quarters’,‘months’,‘weeks’,‘days’,‘hours’,‘minutes’,and
‘seconds’.Theresultisaninteger,truncatedtowardzero.
Oneyearisconsideredtospanfromagivendatetothesamemonth,day,andtimeof
daythenextyear. Thus,fromJan.1ofoneyeartoJan.1thenextyearisconsidered
tobeafullyear,butFeb.29ofaleapyeartothefollowingFeb.28isnot. Similarly,
onemonthspans froma givenday of the monthto thesame day of the following
month. Thus,thereisneverafullmonthfromJan.31ofagivenyeartoanydayin
thefollowingFebruary.
[Function]
DATESUM
(
date
,
quantity
,
unit[
,
method]
)
Returns date advancedby thegivenquantity y of f thespecifiedunit,whichmust be
oneofthestrings‘years’,‘quarters’,‘months’,‘weeks’,‘days’,‘hours’,‘minutes’,
and‘seconds’.
Whenunit is‘years’,‘quarters’,or ‘months’,only the integer partof quantity y is
considered. Addingone e of these units can cause the day of the monthto exceed
thenumberofdaysinthemonth. Inthiscase,themethodcomesintoplay: ifitis
omittedorspecifiedas‘closest’(asaquotedstring),thentheresultingdayisthe
lastdayofthemonth;otherwise,ifitisspecifiedas‘rollover’,thentheextradays
rolloverintothefollowingmonth.
Whenunit is‘weeks’,‘days’,‘hours’,‘minutes’,or‘seconds’,thequantity is not
roundedtoanintegerandmethod,ifspecified,isignored.
7.7.9 MiscellaneousFunctions
[Function]
LAG
(
variable[
,
n]
)
variable must be anumeric or r string g variable name. . LAG G yields the value of that
variableforthecasenbeforethecurrentone.Resultsinsystem-missing(fornumeric
variables)orblanks(forstringvariables)forthefirstncases.
LAGobtainsvaluesfromthecasesthatbecomethenewactivedatasetafteraprocedure
executes. Thus, , LAG G willnot returnvalues fromcases droppedby transformations
suchas SELECTIF,andtransformationslikeCOMPUTEthat modifydatawillchange
thevaluesreturnedbyLAG. Theseareboththecasewhetherthesetransformations
precedeorfollowtheuseofLAG.
IfLAGis usedbefore TEMPORARY,thenthe valuesit returns arethose incases just
beforeTEMPORARY.LAGmaynotbeusedafterTEMPORARY.
Ifomitted,ncasesdefaultsto1.Otherwise,ncasesmustbeasmallpositiveconstant
integer. There e is s no o explicit t limit, but t use of a large value willincrease memory
consumption.
[Function]
YRMODA
(
year
,
month
,
day
)
year is s a year, , either r between n 0and99 or at t least t 1582. . Unlike e other pspp date
functions,yearsbetween0and99always correspondto1900through1999. . month
is amonthbetween1and13. . day y isadaybetween0and31. . Aday y of0refersto
thelastdayofthepreviousmonth,andamonthof13referstothefirstmonthofthe
nextyear.year mustbeinrange. . year,month,anddaymustallbeintegers.
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Chapter7:MathematicalExpressions
58
YRMODAresultsinthenumberofdaysbetween15Oct1582andthedate specified,
plusone. ThedatepassedtoYRMODAmustbeonorafter15Oct1582. . 15Oct1582
hasavalueof1.
[Function]
VALUELABEL (variable)
Returnsastringmatchingthelabelassociatedwiththecurrentvalueofvariable. If
thecurrentvalueofvariable has noassociatedlabel,thenthisfunctionreturnsthe
emptystring. variablemaybeanumericorstringvariable.
7.7.10 StatisticalDistributionFunctions
psppcancalculateseveralfunctionsofstandardstatisticaldistributions. Thesefunctions
are named systematically based on the function and the e distribution. . The e table below
describesthestatisticaldistributionfunctionsingeneral:
PDF.dist(x[,param...])
Probability densityfunctionfordist. . Thedomainof f x dependsondist. . For
continuousdistributions,theresultisthedensityoftheprobabilityfunctionat
x, andthe rangeis s nonnegativerealnumbers. . For r discretedistributions,the
resultistheprobabilityofx.
CDF.dist(x[,param...])
Cumulativedistributionfunctionfordist,thatis,theprobabilitythatarandom
variatedrawnfromthedistributionis lessthanx. . Thedomainofx x depends
dist. Theresultisaprobability.
SIG.dist(x[,param...)
Tailprobabilityfunctionfordist,thatis,theprobabilitythatarandomvariate
drawnfromthedistributionisgreaterthanx. Thedomainofx x dependsdist.
Theresultisaprobability. Onlyafewdistributionsincludean/NAME/function.
IDF.dist(p[,param...])
Inversedistributionfunctionfordist,thevalueofxforwhichtheCDFwould
yield p. . The e value of pis aprobability. . The e rangedepends on dist andis
identicaltothedomainforthecorrespondingCDF.
RV.dist([param...])
Randomvariatefunctionfordist. Therangedependsonthedistribution.
NPDF.dist(x[,param...])
Noncentralprobabilitydensityfunction. Theresultisthedensityofthegiven
noncentraldistributionatx. Thedomainofx x depends ondist. . Therangeis
nonnegativerealnumbers.Onlyafewdistributionsincludean/NAME/function.
NCDF.dist(x[,param...])
Noncentral cumulative distribution functionfor dist, that t is, , the probability
thatarandomvariatedrawnfromthegivennoncentraldistributionislessthan
x. The e domain of x x depends s dist. . The e result is a probability. . Only y afew
distributionsincludeanNCDFfunction.
Theindividualdistributionsaredescribedindividuallybelow.
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Chapter7:MathematicalExpressions
59
7.7.10.1 ContinuousDistributions
Thefollowingcontinuousdistributionsareavailable:
[Function]
PDF.BETA
(
x
)
[Function]
CDF.BETA
(
x
,
a
,
b
)
[Function]
IDF.BETA
(
p
,
a
,
b
)
[Function]
RV.BETA
(
a
,
b
)
[Function]
NPDF.BETA
(
x
,
a
,
b
,
lambda
)
[Function]
NCDF.BETA
(
x
,
a
,
b
,
lambda
)
Betadistributionwithshapeparametersaandb. Thenoncentraldistributiontakes
anadditionalparameterlambda.Constraints: a>0,b>0,lambda>=0,0<=x<=
1,0<=p<=1.
[Function]
PDF.BVNOR
(
x0
,
x1
,
rho
)
[Function]
CDF.VBNOR
(
x0
,
x1
,
rho
)
Bivariatenormaldistributionoftwostandardnormalvariableswithcorrelationcoef-
ficientrho. Twovariatesx0 andx1mustbeprovided. Constraints:0<=rho<=1,
0<=p<=1.
[Function]
PDF.CAUCHY
(
x
,
a
,
b
)
[Function]
CDF.CAUCHY
(
x
,
a
,
b
)
[Function]
IDF.CAUCHY
(
p
,
a
,
b
)
[Function]
RV.CAUCHY
(
a
,
b
)
Cauchydistributionwithlocationparameteraandscaleparameterb. Constraints:
b>0,0<p<1.
[Function]
CDF.CHISQ
(
x
,
df
)
[Function]
SIG.CHISQ
(
x
,
df
)
[Function]
IDF.CHISQ
(
p
,
df
)
[Function]
RV.CHISQ
(
df
)
[Function]
NCDF.CHISQ
(
x
,
df
,
lambda
)
Chi-squareddistributionwithdf degrees s of freedom. . The e noncentraldistribution
takesanadditionalparameterlambda. Constraints: : df f >0,lambda> > 0,x >=0,0
<=p<1.
[Function]
PDF.EXP
(
x
,
a
)
[Function]
CDF.EXP
(
x
,
a
)
[Function]
IDF.EXP
(
p
,
a
)
[Function]
RV.EXP
(
a
)
Exponentialdistributionwithscaleparametera. Theinverseofarepresentstherate
ofdecay. Constraints: a>0,x x >=0,0<=p<1.
[Function]
PDF.XPOWER
(
x
,
a
,
b
)
[Function]
RV.XPOWER
(
a
,
b
)
Exponentialpowerdistributionwithpositivescaleparameteraandnonnegativepower
parameterb. Constraints: a>0,b>=0,x x >=0,0<=p<=1. . Thisdistributionis
apsppextension.
Chapter7:MathematicalExpressions
60
[Function]
PDF.F
(
x
,
df1
,
df2
)
[Function]
CDF.F
(
x
,
df1
,
df2
)
[Function]
SIG.F
(
x
,
df1
,
df2
)
[Function]
IDF.F
(
p
,
df1
,
df2
)
[Function]
RV.F
(
df1
,
df2
)
F-distributionoftwochi-squareddeviateswithdf1anddf2degreesoffreedom. The
noncentraldistributiontakesanadditionalparameterlambda.Constraints:df1>0,
df2>0,lambda>=0,x>=0,0<=p<1.
[Function]
PDF.GAMMA
(
x
,
a
,
b
)
[Function]
CDF.GAMMA
(
x
,
a
,
b
)
[Function]
IDF.GAMMA
(
p
,
a
,
b
)
[Function]
RV.GAMMA
(
a
,
b
)
Gammadistributionwithshapeparameteraandscaleparameterb. Constraints: : a
>0,b>0,x>=0,0<=p<1.
[Function]
PDF.LANDAU
(
x
)
[Function]
RV.LANDAU
()
Landaudistribution.
[Function]
PDF.LAPLACE
(
x
,
a
,
b
)
[Function]
CDF.LAPLACE
(
x
,
a
,
b
)
[Function]
IDF.LAPLACE
(
p
,
a
,
b
)
[Function]
RV.LAPLACE
(
a
,
b
)
Laplacedistributionwithlocationparameter aandscaleparameter b. . Constraints:
b>0,0<p<1.
[Function]
RV.LEVY
(
c
,
alpha
)
Levy symmetric c alpha-stable e distributionwithscale c c and d exponent t alpha. . Con-
straints:0<alpha<=2.
[Function]
RV.LVSKEW
(
c
,
alpha
,
beta
)
Levyskewalpha-stabledistributionwithscale c,exponentalpha,andskewnesspa-
rameterbeta. Constraints: 0<alpha<=2,-1<=beta<=1.
[Function]
PDF.LOGISTIC
(
x
,
a
,
b
)
[Function]
CDF.LOGISTIC
(
x
,
a
,
b
)
[Function]
IDF.LOGISTIC
(
p
,
a
,
b
)
[Function]
RV.LOGISTIC
(
a
,
b
)
Logisticdistributionwithlocationparameteraandscaleparameterb. Constraints:
b>0,0<p<1.
[Function]
PDF.LNORMAL
(
x
,
a
,
b
)
[Function]
CDF.LNORMAL
(
x
,
a
,
b
)
[Function]
IDF.LNORMAL
(
p
,
a
,
b
)
[Function]
RV.LNORMAL
(
a
,
b
)
Lognormaldistributionwithparametersaandb. Constraints: a>0,b>0,x x >=0,
0<=p<1.
Chapter7:MathematicalExpressions
61
[Function]
PDF.NORMAL
(
x
,
mu
,
sigma
)
[Function]
CDF.NORMAL
(
x
,
mu
,
sigma
)
[Function]
IDF.NORMAL
(
p
,
mu
,
sigma
)
[Function]
RV.NORMAL
(
mu
,
sigma
)
Normaldistributionwithmeanmuandstandarddeviationsigma. Constraints: b>
0,0<p<1. Threeadditionalfunctionsareavailableasshorthand:
[Function]
CDFNORM
(
x
)
EquivalenttoCDF.NORMAL(x,0,1).
[Function]
PROBIT
(
p
)
EquivalenttoIDF.NORMAL(p,0,1).
[Function]
NORMAL
(
sigma
)
EquivalenttoRV.NORMAL(0,sigma).
[Function]
PDF.NTAIL
(
x
,
a
,
sigma
)
[Function]
RV.NTAIL
(
a
,
sigma
)
Normaltaildistributionwithlowerlimit aandstandarddeviationsigma. . Thisdis-
tributionisapsppextension.Constraints:a>0,x >a,0<p<1.
[Function]
PDF.PARETO
(
x
,
a
,
b
)
[Function]
CDF.PARETO
(
x
,
a
,
b
)
[Function]
IDF.PARETO
(
p
,
a
,
b
)
[Function]
RV.PARETO
(
a
,
b
)
Paretodistributionwiththresholdparameteraandshapeparameterb. Constraints:
a>0,b>0,x >=a,0<=p<1.
[Function]
PDF.RAYLEIGH
(
x
,
sigma
)
[Function]
CDF.RAYLEIGH
(
x
,
sigma
)
[Function]
IDF.RAYLEIGH
(
p
,
sigma
)
[Function]
RV.RAYLEIGH
(
sigma
)
Rayleighdistributionwithscaleparametersigma. Thisdistributionisapsppexten-
sion.Constraints: sigma>0,x>0.
[Function]
PDF.RTAIL
(
x
,
a
,
sigma
)
[Function]
RV.RTAIL
(
a
,
sigma
)
Rayleightaildistributionwithlowerlimitaandscaleparametersigma. Thisdistri-
butionisapsppextension. Constraints: a>0,sigma>0,x>a.
[Function]
PDF.T
(
x
,
df
)
[Function]
CDF.T
(
x
,
df
)
[Function]
IDF.T
(
p
,
df
)
[Function]
RV.T
(
df
)
T-distribution with h df f degrees s of f freedom. . The e noncentral l distribution takes an
additionalparameterlambda.Constraints: df f >0,0<p<1.
[Function]
PDF.T1G
(
x
,
a
,
b
)
[Function]
CDF.T1G
(
x
,
a
,
b
)
Chapter7:MathematicalExpressions
62
[Function]
IDF.T1G
(
p
,
a
,
b
)
Type-1Gumbeldistributionwithparameters aandb. . This s distributionis apspp
extension.Constraints:0<p<1.
[Function]
PDF.T2G
(
x
,
a
,
b
)
[Function]
CDF.T2G
(
x
,
a
,
b
)
[Function]
IDF.T2G
(
p
,
a
,
b
)
Type-2Gumbeldistributionwithparameters aandb. . This s distributionis apspp
extension.Constraints:x >0,0<p<1.
[Function]
PDF.UNIFORM
(
x
,
a
,
b
)
[Function]
CDF.UNIFORM
(
x
,
a
,
b
)
[Function]
IDF.UNIFORM
(
p
,
a
,
b
)
[Function]
RV.UNIFORM
(
a
,
b
)
Uniformdistributionwithparameters aandb. . Constraints: : a<=x x <=b,0<=p
<=1. Anadditionalfunctionisavailableasshorthand:
[Function]
UNIFORM
(
b
)
EquivalenttoRV.UNIFORM(0,b).
[Function]
PDF.WEIBULL
(
x
,
a
,
b
)
[Function]
CDF.WEIBULL
(
x
,
a
,
b
)
[Function]
IDF.WEIBULL
(
p
,
a
,
b
)
[Function]
RV.WEIBULL
(
a
,
b
)
Weibulldistributionwithparametersaandb. Constraints: a>0,b>0,x x >=0,0
<=p<1.
7.7.10.2 DiscreteDistributions
Thefollowingdiscretedistributionsareavailable:
[Function]
PDF.BERNOULLI
(
x
)
[Function]
CDF.BERNOULLI
(
x
,
p
)
[Function]
RV.BERNOULLI
(
p
)
Bernoullidistributionwithprobabilityofsuccessp.Constraints:x =0or1,0<=p
<=1.
[Function]
PDF.BINOM
(
x
,
n
,
p
)
[Function]
CDF.BINOM
(
x
,
n
,
p
)
[Function]
RV.BINOM
(
n
,
p
)
Binomialdistributionwithntrialsandprobabilityofsuccessp.Constraints: integer
n>0,0<=p<=1,integerx <=n.
[Function]
PDF.GEOM
(
x
,
n
,
p
)
[Function]
CDF.GEOM
(
x
,
n
,
p
)
[Function]
RV.GEOM
(
n
,
p
)
Geometric distribution n with probability of success p. . Constraints: : 0 0 <= p <= 1,
integerx>0.
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