In the previous post i mentioned that there are 3 kinds of statisticians in the world :
1. Those who can count
2. Those who cannot count
You might be wondering who is the 3rd type of statistician ? Any guess
The third type of statistician is "The one who can neither " can count" and nor "cannot count" .
The above theorey is based on "Negative Binomial Distribution"
Now before understanding what is " Negative Binomial Distribution" lets understand what is "Binomial Distribution"
Binomial Distribution:
When you throw a dice what is the probability of occurance of 3?
Its 1/6.
Condition: There are only 2 outcomes " 3 will appear" (Success ) or " 3 will not appear"(Failure)
The Success failure experiments is called as " Bernoulli's Trial/ Experiment"
The Binomial Distribution is " N times repeated bernoulli's trial"
Or the discrete probability distribution of numbers of successes in a sequence of n independent YES/NO Experiments
What is negative Binomial Distribution ?
Given the above example:
If the discrete probability distribution of occurance of 3 in n sequence experiments is Binomial Distribution ...then,
The probability distribution of number of NON-3's is called negative binomial distribution.
Is'nt it simple...
![](http://1.bp.blogspot.com/-weo1W53I4uM/Tpb_lyw5UsI/AAAAAAAAEN8/CtNdkFnFf9w/s400/neg_binomial_pdf2.png)
![](http://4.bp.blogspot.com/-uDnSNdslgJs/Tpb_l0SIR9I/AAAAAAAAEN0/nszaaHXa4oo/s400/BD3x.jpg)
1. Those who can count
2. Those who cannot count
You might be wondering who is the 3rd type of statistician ? Any guess
The third type of statistician is "The one who can neither " can count" and nor "cannot count" .
The above theorey is based on "Negative Binomial Distribution"
Now before understanding what is " Negative Binomial Distribution" lets understand what is "Binomial Distribution"
Binomial Distribution:
When you throw a dice what is the probability of occurance of 3?
Its 1/6.
Condition: There are only 2 outcomes " 3 will appear" (Success ) or " 3 will not appear"(Failure)
The Success failure experiments is called as " Bernoulli's Trial/ Experiment"
The Binomial Distribution is " N times repeated bernoulli's trial"
Or the discrete probability distribution of numbers of successes in a sequence of n independent YES/NO Experiments
What is negative Binomial Distribution ?
Given the above example:
If the discrete probability distribution of occurance of 3 in n sequence experiments is Binomial Distribution ...then,
The probability distribution of number of NON-3's is called negative binomial distribution.
Is'nt it simple...
![](http://1.bp.blogspot.com/-weo1W53I4uM/Tpb_lyw5UsI/AAAAAAAAEN8/CtNdkFnFf9w/s400/neg_binomial_pdf2.png)
![](http://4.bp.blogspot.com/-uDnSNdslgJs/Tpb_l0SIR9I/AAAAAAAAEN0/nszaaHXa4oo/s400/BD3x.jpg)
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