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 bar graph of a cumulative Pascal 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.

CAS Syntax

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.

Example:

Zipf[ 10, 1 , 5, false] yields \frac{504}{7381}.