BridgeT {pvar}

Bridge transformation

Description

Transforms data by Bridge transformation.

Usage

BridgeT(x, normalize = TRUE)

Arguments

x

x a numeric vector of data values.

normalize

logical, indicating whether the vector should be normalized.

Details

Let n denotes the length ox x. For each m \in [1,n] bridge transformations BridgeT is defined as

BridgeT(m, x) = \left\{ \sum_{i=1}^m x_i - \frac{m}{n} \sum_{i=1}^n x_i \right\} .

Meanwhile, the transformation with normalization is

BridgeT(m, x) = \frac{1}{\sqrt{n var(x)}} \left\{ \sum_{i=1}^m x_i - \frac{m}{n} \sum_{i=1}^n x_i \right\} .

Value

A numeric vector.

See Also

PvarBreakTest, rbridge

Examples

x <- rnorm(1000)
Bx <- BridgeT(x, FALSE)

op <- par(mfrow=c(2,1),mar=c(4,4,2,1))
plot(cumsum(x), type="l")
plot(Bx, type="l")
par(op)