R version 3.3.0 (2016-05-03) -- "Supposedly Educational"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> x <- c(89.72,89.95,90.19,90.23,90.32,90.86,90.99,90.98,91.22,91.42,91.55,91.67,92.30,92.92,93.10,93.23,93.36,93.42,93.58,93.68,94.02,94.29,94.54,94.64,96.70,96.83,97.07,97.11,97.42,97.44,97.67,97.84,98.17,98.31,98.42,98.44,98.89,99.26,99.59,99.82,99.95,99.99,100.28,100.38,100.46,100.52,100.43,100.44,101.33,101.43,101.41,101.53,101.58,101.73,102.12,101.86,101.93,101.86,101.92,102.02)
> par4 = 'P1 P5 Q1 Q3 P95 P99'
> par3 = '5'
> par2 = '12'
> par1 = '750'
> par1 <- as.numeric(par1)
> par2 <- as.numeric(par2)
> par3 <- as.numeric(par3)
> if (par1 < 10) par1 = 10
> if (par1 > 5000) par1 = 5000
> if (par2 < 3) par2 = 3
> if (par2 > length(x)) par2 = length(x)
> library(modeest)

This is package 'modeest' written by P. PONCET.
For a complete list of functions, use 'library(help = "modeest")' or 'help.start()'.

> library(lattice)
> library(boot)

Attaching package: 'boot'

The following object is masked from 'package:lattice':

    melanoma

> boot.stat <- function(s)
+ {
+ s.mean <- mean(s)
+ s.median <- median(s)
+ s.midrange <- (max(s) + min(s)) / 2
+ s.mode <- mlv(s,method='mfv')$M
+ s.kernelmode <- mlv(s, method='kernel')$M
+ c(s.mean, s.median, s.midrange, s.mode, s.kernelmode)
+ }
> (r <- tsboot(x, boot.stat, R=par1, l=12, sim='fixed'))

BLOCK BOOTSTRAP FOR TIME SERIES

Fixed Block Length of 12 

Call:
tsboot(tseries = x, statistic = boot.stat, R = par1, l = 12, 
    sim = "fixed")


Bootstrap Statistics :
     original      bias    std. error
t1*  96.73883  0.04002733   1.4652564
t2*  97.55500 -0.44660667   2.5326173
t3*  95.92000  0.19062000   0.6778297
t4* 101.86000 -4.03813550   3.5579179
t5* 100.97034 -3.43125655   3.9931561
Warning messages:
1: In .deal.ties(ny, i, tie.action, tie.limit) :
  encountered a tie, and the difference between minimal and maximal value is > length('x') * 'tie.limit'
the distribution could be multimodal
2: In .deal.ties(ny, i, tie.action, tie.limit) :
  encountered a tie, and the difference between minimal and maximal value is > length('x') * 'tie.limit'
the distribution could be multimodal
3: In .deal.ties(ny, i, tie.action, tie.limit) :
  encountered a tie, and the difference between minimal and maximal value is > length('x') * 'tie.limit'
the distribution could be multimodal
> postscript(file="/var/wessaorg/rcomp/tmp/1gjco1464531646.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(r$t[,1],type='p',ylab='simulated values',main='Simulation of Mean')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/2r9881464531646.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(r$t[,2],type='p',ylab='simulated values',main='Simulation of Median')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/3wguf1464531646.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(r$t[,3],type='p',ylab='simulated values',main='Simulation of Midrange')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/40umc1464531646.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(r$t[,4],type='p',ylab='simulated values',main='Simulation of Mode')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/5lmy81464531646.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> plot(r$t[,5],type='p',ylab='simulated values',main='Simulation of Mode of Kernel Density')
> grid()
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/60dk01464531646.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> densityplot(~r$t[,1],col='black',main='Density Plot',xlab='mean')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/71tz81464531646.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> densityplot(~r$t[,2],col='black',main='Density Plot',xlab='median')
> dev.off()
null device 
          1 
> postscript(file="/var/wessaorg/rcomp/tmp/88pec1464531646.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> densityplot(~r$t[,3],col='black',main='Density Plot',xlab='midrange')
> dev.off()
null device 
          1 
> z <- data.frame(cbind(r$t[,1],r$t[,2],r$t[,3],r$t[,4],r$t[,5]) )
> colnames(z) <- list('mean','median','midrange','mode','mode.k.dens')
> postscript(file="/var/wessaorg/rcomp/tmp/94bo41464531646.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) 
> boxplot(z,notch=TRUE,ylab='simulated values',main='Bootstrap Simulation - Central Tendency')
> grid()
> dev.off()
null device 
          1 
> if (par4 == 'P1 P5 Q1 Q3 P95 P99') {
+ myq.1 <- 0.01
+ myq.2 <- 0.05
+ myq.3 <- 0.95
+ myq.4 <- 0.99
+ myl.1 <- 'P1'
+ myl.2 <- 'P5'
+ myl.3 <- 'P95'
+ myl.4 <- 'P99'
+ }
> if (par4 == 'P0.5 P2.5 Q1 Q3 P97.5 P99.5') {
+ myq.1 <- 0.005
+ myq.2 <- 0.025
+ myq.3 <- 0.975
+ myq.4 <- 0.995
+ myl.1 <- 'P0.5'
+ myl.2 <- 'P2.5'
+ myl.3 <- 'P97.5'
+ myl.4 <- 'P99.5'
+ }
> if (par4 == 'P10 P20 Q1 Q3 P80 P90') {
+ myq.1 <- 0.10
+ myq.2 <- 0.20
+ myq.3 <- 0.80
+ myq.4 <- 0.90
+ myl.1 <- 'P10'
+ myl.2 <- 'P20'
+ myl.3 <- 'P80'
+ myl.4 <- 'P90'
+ }
> 
> #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/wessaorg/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,'Estimation Results of Blocked Bootstrap',10,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'statistic',header=TRUE)
> a<-table.element(a,myl.1,header=TRUE)
> a<-table.element(a,myl.2,header=TRUE)
> a<-table.element(a,'Q1',header=TRUE)
> a<-table.element(a,'Estimate',header=TRUE)
> a<-table.element(a,'Q3',header=TRUE)
> a<-table.element(a,myl.3,header=TRUE)
> a<-table.element(a,myl.4,header=TRUE)
> a<-table.element(a,'S.D.',header=TRUE)
> a<-table.element(a,'IQR',header=TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'mean',header=TRUE)
> q1 <- quantile(r$t[,1],0.25)[[1]]
> q3 <- quantile(r$t[,1],0.75)[[1]]
> p01 <- quantile(r$t[,1],myq.1)[[1]]
> p05 <- quantile(r$t[,1],myq.2)[[1]]
> p95 <- quantile(r$t[,1],myq.3)[[1]]
> p99 <- quantile(r$t[,1],myq.4)[[1]]
> a<-table.element(a,signif(p01,par3))
> a<-table.element(a,signif(p05,par3))
> a<-table.element(a,signif(q1,par3))
> a<-table.element(a,signif(r$t0[1],par3))
> a<-table.element(a,signif(q3,par3))
> a<-table.element(a,signif(p95,par3))
> a<-table.element(a,signif(p99,par3))
> a<-table.element( a,signif( sqrt(var(r$t[,1])),par3 ) )
> a<-table.element(a,signif(q3-q1,par3))
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'median',header=TRUE)
> q1 <- quantile(r$t[,2],0.25)[[1]]
> q3 <- quantile(r$t[,2],0.75)[[1]]
> p01 <- quantile(r$t[,2],myq.1)[[1]]
> p05 <- quantile(r$t[,2],myq.2)[[1]]
> p95 <- quantile(r$t[,2],myq.3)[[1]]
> p99 <- quantile(r$t[,2],myq.4)[[1]]
> a<-table.element(a,signif(p01,par3))
> a<-table.element(a,signif(p05,par3))
> a<-table.element(a,signif(q1,par3))
> a<-table.element(a,signif(r$t0[2],par3))
> a<-table.element(a,signif(q3,par3))
> a<-table.element(a,signif(p95,par3))
> a<-table.element(a,signif(p99,par3))
> a<-table.element(a,signif(sqrt(var(r$t[,2])),par3))
> a<-table.element(a,signif(q3-q1,par3))
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'midrange',header=TRUE)
> q1 <- quantile(r$t[,3],0.25)[[1]]
> q3 <- quantile(r$t[,3],0.75)[[1]]
> p01 <- quantile(r$t[,3],myq.1)[[1]]
> p05 <- quantile(r$t[,3],myq.2)[[1]]
> p95 <- quantile(r$t[,3],myq.3)[[1]]
> p99 <- quantile(r$t[,3],myq.4)[[1]]
> a<-table.element(a,signif(p01,par3))
> a<-table.element(a,signif(p05,par3))
> a<-table.element(a,signif(q1,par3))
> a<-table.element(a,signif(r$t0[3],par3))
> a<-table.element(a,signif(q3,par3))
> a<-table.element(a,signif(p95,par3))
> a<-table.element(a,signif(p99,par3))
> a<-table.element(a,signif(sqrt(var(r$t[,3])),par3))
> a<-table.element(a,signif(q3-q1,par3))
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'mode',header=TRUE)
> q1 <- quantile(r$t[,4],0.25)[[1]]
> q3 <- quantile(r$t[,4],0.75)[[1]]
> p01 <- quantile(r$t[,4],myq.1)[[1]]
> p05 <- quantile(r$t[,4],myq.2)[[1]]
> p95 <- quantile(r$t[,4],myq.3)[[1]]
> p99 <- quantile(r$t[,4],myq.4)[[1]]
> a<-table.element(a,signif(p01,par3))
> a<-table.element(a,signif(p05,par3))
> a<-table.element(a,signif(q1,par3))
> a<-table.element(a,signif(r$t0[4],par3))
> a<-table.element(a,signif(q3,par3))
> a<-table.element(a,signif(p95,par3))
> a<-table.element(a,signif(p99,par3))
> a<-table.element(a,signif(sqrt(var(r$t[,4])),par3))
> a<-table.element(a,signif(q3-q1,par3))
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'mode k.dens',header=TRUE)
> q1 <- quantile(r$t[,5],0.25)[[1]]
> q3 <- quantile(r$t[,5],0.75)[[1]]
> p01 <- quantile(r$t[,5],myq.1)[[1]]
> p05 <- quantile(r$t[,5],myq.2)[[1]]
> p95 <- quantile(r$t[,5],myq.3)[[1]]
> p99 <- quantile(r$t[,5],myq.4)[[1]]
> a<-table.element(a,signif(p01,par3))
> a<-table.element(a,signif(p05,par3))
> a<-table.element(a,signif(q1,par3))
> a<-table.element(a,signif(r$t0[5],par3))
> a<-table.element(a,signif(q3,par3))
> a<-table.element(a,signif(p95,par3))
> a<-table.element(a,signif(p99,par3))
> a<-table.element(a,signif(sqrt(var(r$t[,5])),par3))
> a<-table.element(a,signif(q3-q1,par3))
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/wessaorg/rcomp/tmp/1027601464531646.tab") 
> 
> try(system("convert tmp/1gjco1464531646.ps tmp/1gjco1464531646.png",intern=TRUE))
character(0)
> try(system("convert tmp/2r9881464531646.ps tmp/2r9881464531646.png",intern=TRUE))
character(0)
> try(system("convert tmp/3wguf1464531646.ps tmp/3wguf1464531646.png",intern=TRUE))
character(0)
> try(system("convert tmp/40umc1464531646.ps tmp/40umc1464531646.png",intern=TRUE))
character(0)
> try(system("convert tmp/5lmy81464531646.ps tmp/5lmy81464531646.png",intern=TRUE))
character(0)
> try(system("convert tmp/60dk01464531646.ps tmp/60dk01464531646.png",intern=TRUE))
character(0)
> try(system("convert tmp/71tz81464531646.ps tmp/71tz81464531646.png",intern=TRUE))
character(0)
> try(system("convert tmp/88pec1464531646.ps tmp/88pec1464531646.png",intern=TRUE))
character(0)
> try(system("convert tmp/94bo41464531646.ps tmp/94bo41464531646.png",intern=TRUE))
character(0)
> 
> 
> proc.time()
   user  system elapsed 
  5.948   0.449   6.436