jss.v55.i01.tab1 <- function() { lapplyfn <- mclapply nsims <- 1000 Bsims <- 1000 start <- 1 n.size.types <- 7 ss.ans <- matrix(0, nrow = n.size.types, ncol = 2) dimnames(ss.ans) <- list(paste("S", start:(start + n.size.types - 1), sep = ""), c("PSR", "BootTOS")) for (i in 1:n.size.types) { ss <- simsize(nsims = nsims, Bsims = Bsims, lapplyfn = lapplyfn, test.lapplyfn = lapplyfn, Snum = i + start - 1) ss.ans[i, ] <- apply(ss$the.ans, 2, sum)/nsims } return(ss.ans) } jss.v55.i01.tab2 <- function() { lapplyfn <- mclapply nsims <- 1000 Bsims <- 1000 start <- 1 n.size.types <- 4 ss.ans <- matrix(0, nrow = n.size.types, ncol = 2) dimnames(ss.ans) <- list(paste("P", start:(start + n.size.types - 1), sep = ""), c("PSR", "BootTOS")) for (i in 1:n.size.types) { ss <- simpower(nsims = nsims, Bsims = Bsims, lapplyfn = lapplyfn, test.lapplyfn = lapplyfn, Pnum = i + start - 1) ss.ans[i, ] <- apply(ss$the.ans, 2, sum)/nsims } return(ss.ans) } simsize <- function(nsims = 100, n = 512, Bsims = 200, verbose = TRUE, lapplyfn = lapply, test.lapplyfn = lapply, Snum = 1, codeforJSS = TRUE) { if (codeforJSS == TRUE) set.seed(0) nix <- as.list(1:nsims) if (Snum == 1) { # IID standard gaussians simsANDix <- function(nix, n) { return(c(nix, rnorm(n))) } Sstring <- "S1: Standard Gaussians" } else if (Snum == 2) { # AR(1) with AR parameter of 0.9 simsANDix <- function(nix, n) { return(c(nix, arima.sim(n, model = list(ar = 0.9)))) } Sstring <- "S2: AR(1) alpha=0.9" } else if (Snum == 3) { # AR(1) with AR parameter of -0.9 simsANDix <- function(nix, n) { return(c(nix, arima.sim(n, model = list(ar = -0.9)))) } Sstring <- "S3: AR(1) alpha=-0.9" } else if (Snum == 4) { # MA(1) with MA parameter of 0.8 simsANDix <- function(nix, n) { return(c(nix, arima.sim(n, model = list(ma = 0.8)))) } Sstring <- "S4: MA(1) beta=0.8" } else if (Snum == 5) { # MA(1) with MA parameter of -0.8 simsANDix <- function(nix, n) { return(c(nix, arima.sim(n, model = list(ma = -0.8)))) } Sstring <- "S5: MA(1) beta=-0.8" } else if (Snum == 6) { # ARMA(1,2) with parameter of alpha=-0.4, beta=-0.8,0.4 simsANDix <- function(nix, n) { return(c(nix, arima.sim(n, model = list(ar = -0.4, ma = c(-0.8, 0.4))))) } Sstring <- "S6: ARMA(1,2) alpha=-0.4, beta=c(-0.8, 0.4)" } else if (Snum == 7) { # AR(2) with AR parameters of alpha=c(1.385929, -0.9604) simsANDix <- function(nix, n) { return(c(nix, arima.sim(n, model = list(ar = c(1.385929, -0.9604))))) } Sstring <- "S7: AR(2) alpha=c(1.385929, -0.9604)" } else stop("Illegal Snum") the.data <- lapplyfn(nix, simsANDix, n = n) the.ans <- lapplyfn(the.data, simsize.helper, verbose = verbose, Bsims = Bsims, lapplyfn = test.lapplyfn) the.ans <- matrix(unlist(the.ans), ncol = 2, byrow = TRUE) dimnames(the.ans) <- list(NULL, c("Stationarity", "BootTOS")) l <- list(the.ans = the.ans, Sstring = Sstring, Snum = Snum, n = n) class(l) <- "simsize" return(l) } simsize.helper <- function(tmp.x, Bsims, verbose = FALSE, lapplyfn = lapply) { size <- 0.05 ix <- tmp.x[1] tmp.x <- tmp.x[-1] ans <- stationarity(tmp.x) nrow(ans$anova) statpval <- 1 - pchisq(ans$test[1, 1], df = nrow(ans$anova) - 2) if (statpval < 0.05) stat.nonstat <- 1 else stat.nonstat <- 0 bootpval <- plot(BootTOS(tmp.x, Bsims = Bsims, lapplyfn = lapplyfn), plot = FALSE) if (bootpval < 0.05) boot.nonstat <- 1 else boot.nonstat <- 0 if (verbose == TRUE) { if (ix%%10 == 0) message(ix) else message(".", appendLF = FALSE) } return(c(stat.nonstat, boot.nonstat)) } simpower <- function(nsims = 100, n = 512, Bsims = 200, verbose = FALSE, lapplyfn = lapply, test.lapplyfn = lapply, Pnum = 1, codeforJSS = TRUE) { if (codeforJSS == TRUE) set.seed(0) nix <- as.list(1:nsims) if (Pnum == 1) { # P1: TVAR(1) from -0.9 to 0.9 if (n != 512) stop("tvar1sim can't do non 512 sample lengths\n") simsANDix <- function(nix, n) { return(c(nix, tvar1sim())) } Pstring <- "P1: Tvar1sim" } else if (Pnum == 2) { # P2: ps2.spec simsANDix <- function(nix, n) { return(c(nix, LSWsim(ps2.spec))) } Pstring <- "P2: LSW p2.spec" } else if (Pnum == 3) { # P3: ps3.spec simsANDix <- function(nix, n) { return(c(nix, LSWsim(ps3.spec))) } Pstring <- "P3: LSW p3.spec" } else if (Pnum == 4) { # P4: ps4.spec simsANDix <- function(nix, n) { return(c(nix, LSWsim(ps4.spec))) } Pstring <- "P4: LSW p4.spec" } else stop("Illegal Pnum") the.data <- lapplyfn(nix, simsANDix, n = n) cat("Length the.data is: ", length(the.data), "\n") the.ans <- lapplyfn(the.data, simsize.helper, verbose = verbose, Bsims = Bsims, lapplyfn = test.lapplyfn) the.ans <- matrix(unlist(the.ans), ncol = 2, byrow = TRUE) dimnames(the.ans) <- list(NULL, c("Stationarity", "BootTOS")) l <- list(the.ans = the.ans, Pstring = Pstring, Pnum = Pnum, n = n) class(l) <- "simpower" return(l) } tvar1sim <- function(sd = 1) { n <- 512 arvec <- seq(from = 0.9, to = -0.9, length = 512) x <- c(rnorm(1, mean = 0, sd = sd), rep(0, n - 1)) for (i in 2:n) x[i] <- arvec[i] * x[i - 1] + rnorm(1, mean = 0, sd = sd) return(x) } ps2.spec <- structure(list(C = c(0, 0, 0, 0, 0, 0, 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c("first.last.c", "ntotal", "first.last.d", "ntotal.d")), filter = structure(list(H = c(0.707106781186547, 0.707106781186547), G = NULL, name = "Haar wavelet", family = "DaubExPhase", filter.number = 1), .Names = c("H", "G", "name", "family", "filter.number")), type = "station", bc = "periodic", date = "Tue Jul 3 21:57:02 2012"), .Names = c("C", "D", "nlevels", "fl.dbase", "filter", "type", "bc", "date"), class = "wd") ps3.spec <- structure(list(C = c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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21:57:02 2012"), .Names = c("C", "D", "nlevels", "fl.dbase", "filter", "type", "bc", "date"), class = "wd") ps4.spec <- structure(list(C = c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), nlevels = 9L, fl.dbase = structure(list(first.last.c = structure(c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 511, 511, 511, 511, 511, 511, 511, 511, 511, 511, 4608, 4096, 3584, 3072, 2560, 2048, 1536, 1024, 512, 0), .Dim = c(10L, 3L), .Dimnames = list(NULL, c("First", "Last", "Offset"))), ntotal = 5120, first.last.d = structure(c(0, 0, 0, 0, 0, 0, 0, 0, 0, 511, 511, 511, 511, 511, 511, 511, 511, 511, 4096, 3584, 3072, 2560, 2048, 1536, 1024, 512, 0), .Dim = c(9L, 3L), .Dimnames = list(NULL, c("First", "Last", "Offset"))), ntotal.d = 4608), .Names = c("first.last.c", "ntotal", "first.last.d", "ntotal.d")), filter = structure(list(H = c(0.707106781186547, 0.707106781186547), G = NULL, name = "Haar wavelet", family = "DaubExPhase", filter.number = 1), .Names = c("H", "G", "name", "family", "filter.number")), type = "station", bc = "periodic", date = "Tue Jul 3 21:57:02 2012"), .Names = c("C", "D", "nlevels", "fl.dbase", "filter", "type", "bc", "date"), class = "wd") ## packages library("parallel") library("fractal") library("costat") ## replicate simulation results tab1 <- jss.v55.i01.tab1() tab2 <- jss.v55.i01.tab2() ## Note: Only PSR and the BootTOS test are replicated here. The HWTOS results ## are taken from the corresponding JRSSB paper. (The associated locits package ## will be made available on CRAN in due course.)