Derivation of normal distribution

Click For Summary
SUMMARY

The discussion centers on the derivation of the normal distribution, specifically seeking coherent resources for understanding its origins. Key starting points for this derivation include the limit of the binomial distribution as the number of trials approaches infinity and the Central Limit Theorem. Participants emphasize the importance of selecting a clear starting point for the derivation process. Recommendations for personal resources that effectively clarify these concepts are requested.

PREREQUISITES
  • Understanding of multivariate calculus
  • Familiarity with AP Statistics
  • Knowledge of the binomial distribution
  • Comprehension of the Central Limit Theorem
NEXT STEPS
  • Research the derivation of the normal distribution from the binomial distribution
  • Study the Central Limit Theorem in detail
  • Explore resources that explain the mathematical foundations of probability distributions
  • Examine case studies that apply the normal distribution in real-world scenarios
USEFUL FOR

Students in statistics, mathematicians, educators, and anyone seeking a deeper understanding of the normal distribution and its derivation.

wil3
Messages
177
Reaction score
1
Hello! Would someone or several people mind posting a link to a coherent derivation of the normal distribution? Assume that the person reading it is a total moron with a multivariate calculus and AP Statistics background.

I've already looked at the top google results, so save yourself the trouble of copypasta'ing. I'm looking for any sources that you personally thought really helped you understand the derivation of it, or that in general helped show its origins.

Thank you very much.
 
Physics news on Phys.org
When you ask for a derivation, you need to specify a starting point.

Possibilities:
1) Limit of binomial distribution as number of trials becomes infinite.
2) Central limit theorem.
 
Central Limit Theorum seems cooler. Thanks for pointing that out!
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 3 ·
Replies
3
Views
8K
  • · Replies 69 ·
3
Replies
69
Views
5K