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Inducing Stationarity in Time Series - Variance Reduction Matrix - serie 1

R Software Module: rwasp_variancereduction.wasp (opens new window with default values)
Title produced by software: Variance Reduction Matrix
Date of computation: Thu, 29 Nov 2007 04:29:49 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2007/Nov/29/t1196335315940w0yl57l7yakw.htm/, Retrieved Thu, 29 Nov 2007 12:21:55 +0100
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
20972 35681 37034 35645 33379 32747 49585 41745 48564 52518 45594 51442 25094 33702 39120 33842 29896 31481 43895 39477 53726 61465 50104 47460 26451 30306 42598 34485 29027 35489 40357 37532 43899 48572 43901 50556 18387 27534 38030 31917 26414 35306 38271 41454 52408 53536 53152 56421 21538 33625 42625 31295 33795 41227 45382 47206 46235 51378 46865 58608
 
Text written by user:
 
Output produced by software:


Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001


Variance Reduction Matrix
V(Y[t],d=0,D=0)98221156.039548Range43078Trim Var.66926268.362334
V(Y[t],d=1,D=0)109972825.817066Range51721Trim Var.50318228.9455733
V(Y[t],d=2,D=0)277874307.770115Range85794Trim Var.131349623.025641
V(Y[t],d=3,D=0)861346528.361529Range135272Trim Var.459305236.016471
V(Y[t],d=0,D=1)26819049.5314716Range22144Trim Var.16846179.6213705
V(Y[t],d=1,D=1)28147272.4921369Range21224Trim Var.18332407.2121951
V(Y[t],d=2,D=1)75281696.9763285Range36911Trim Var.50980076.6666667
V(Y[t],d=3,D=1)242570745.634343Range60995Trim Var.169128167.944669
V(Y[t],d=0,D=2)87731275.5642857Range40176Trim Var.54632538.8991935
V(Y[t],d=1,D=2)71185758.7865546Range34303Trim Var.46779061.7462366
V(Y[t],d=2,D=2)181922651.301248Range60834Trim Var.110036181.067816
V(Y[t],d=3,D=2)593211875.632576Range106093Trim Var.366097933.980296
 
Charts produced by software:
 
Parameters:
par1 = 12 ;
 
R code (references can be found in the software module):
par1 <- as.numeric(par1)
n <- length(x)
sx <- sort(x)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variance Reduction Matrix',6,TRUE)
a<-table.row.end(a)
for (bigd in 0:2) {
for (smalld in 0:3) {
mylabel <- 'V(Y[t],d='
mylabel <- paste(mylabel,as.character(smalld),sep='')
mylabel <- paste(mylabel,',D=',sep='')
mylabel <- paste(mylabel,as.character(bigd),sep='')
mylabel <- paste(mylabel,')',sep='')
a<-table.row.start(a)
a<-table.element(a,mylabel,header=TRUE)
myx <- x
if (smalld > 0) myx <- diff(x,lag=1,differences=smalld)
if (bigd > 0) myx <- diff(myx,lag=par1,differences=bigd)
a<-table.element(a,var(myx))
a<-table.element(a,'Range',header=TRUE)
a<-table.element(a,max(myx)-min(myx))
a<-table.element(a,'Trim Var.',header=TRUE)
smyx <- sort(myx)
sn <- length(smyx)
a<-table.element(a,var(smyx[smyx>quantile(smyx,0.05) & smyx<quantile(smyx,0.95)]))
a<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')
 





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This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


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