Chebyshev approximation of normal distribution probability

Apart from the approximation method by means of the Taylor function, another numerical technique which is considered by most as the de facto method is the Chebyshev approximation. In TI Nspire, the calculation can be done as below. The piece-wise function helps to decide the result from whether d is positive. For better performance, some constants can be pre-calculated instead of as shown below, like the square root of double π. Intensive calculations definitely will benefit from pre-calculated values.

ChebyshevApprox

Advertisements

One thought on “Chebyshev approximation of normal distribution probability

  1. Pingback: Polynomial expansion in Nspire to ease reading C code | gmgolem

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s