STAT 302 Chapter Notes - Chapter 5.2: Binomial Distribution, Poisson Distribution

34 views2 pages
6 Aug 2016
School
Department
Course
Professor
Poisson approximation to Binomial distribution
Okay, so we know that the limit for a Binomial distribution is fixed to the value of n.
Now, if the value of n is very high and the value of p is very low in a Binomial
distribution, which does not that as we go along increasing X, then the values of the
individual probabilities goes on decreasing, as we need to take into account the
increasing value of nCx with that of p*X, but if we look at np, that is the mean of the
binomial distribution, we would realize that when n reaches infinity and p reaches 0,
then np gets the constant value of λ, which can be used to approximate the binomial
distribution as Poisson distribution.
Here is the corresponding proof:
find more resources at oneclass.com
find more resources at oneclass.com
Unlock document

This preview shows half of the first page of the document.
Unlock all 2 pages and 3 million more documents.

Already have an account? Log in

Get access

Grade+
$10 USD/m
Billed $120 USD annually
Homework Help
Class Notes
Textbook Notes
40 Verified Answers
Study Guides
1 Booster Class
Class+
$8 USD/m
Billed $96 USD annually
Homework Help
Class Notes
Textbook Notes
30 Verified Answers
Study Guides
1 Booster Class