Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

$F_i=n {m-i \choose n-1}$

where $m \ge n, 1 \le i \le m-n+1$

For instance, if $m=10, n=5$, I can draw a line graph. enter image description here

share|improve this question
    
In your example, $i$ should only go up to $6$? –  GEdgar Sep 17 '11 at 19:34
    
@GEdgar Yes, it should terminate at 6 in this case. –  Fan Zhang Sep 17 '11 at 19:37
    
In what sense is this a "distribution"? It just looks like a sequence to me. –  Daniel McLaury Sep 17 '11 at 19:40
    
@user3296 The $\sum F_i$ should be normalized to 1. –  Fan Zhang Sep 17 '11 at 19:42

1 Answer 1

up vote 1 down vote accepted

Except for the factor $n$, it is (reversed) a certain column in Pascal's triangle. Your example is $5{j\choose 4}$ for $j$ from $0$ to $9$. In your picture $j$ numbers it from right to left, while numbers it $i$ from left to right.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.