Zipf Command

Zipf( <Number of Elements>, <Exponent> )

Returns a bar graph of a Zipf distribution.

Parameters:

Number of Elements: number of elements whose rank we study

Exponent: exponent characterizing the distribution

Zipf( <Number of Elements>, <Exponent> , <Boolean Cumulative> )

Returns a bar graph of a Zipf distribution when Cumulative = false.

Returns a graph of a cumulative Zipf distribution when Cumulative = true.

First two parameters are same as above.

Zipf( <Number of Elements>, <Exponent> , <Variable Value v>, <Boolean Cumulative> )

Let X be a Zipf random variable.

Returns P( X = v) when Cumulative = false.

Returns P( X ≤ v) when Cumulative = true.

First two parameters are same as above.

Example: Zipf(10, 1 , 5, false) yields 0.07 in the Algebra View and \frac{504}{7381} in the CAS View.