Financial Time Series Toolbox    
boxcox

Box-Cox transformation

Syntax

Arguments

data
Data vector. Must be positive.
tsobj
Financial time series object

Description

boxcox transforms nonnormally distributed data to a set of data that has approximately normal distribution. The Box-Cox transformation is a family of power transformations defined by

The logarithm is the natural logarithm (log base e). The algorithm calls for finding the value that maximizes the Log-Likelihood Function (LLF). The search is conducted using fminsearch.

[transdat, lambda] = boxcox(data) transforms the data vector data using the Box-Cox transformation method into transdat. It also calculates the transformation parameter .

[transfts, lambda] = boxcox(tsojb) transforms the financial time series object tsobj using the Box-Cox transformation method into transfts. It also calculates the transformation parameter .

If the input data is a vector, lambda is a scalar. If the input is a financial time series object, lambda is a structure with fields similar to the components of the object, e.g., if the object contains series names Open and Close, lambda has fields lambda.Open and lambda.Close.

transdat = boxcox(lambda, data) and transfts = boxcox(lambda, tsobj) transform the data using a certain specified for the Box-Cox transformation. This syntax does not find the optimum that maximizes the LLF.

See Also

fminsearch


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