Transforming a % variation of the mean from Poisson to σ

Click For Summary
SUMMARY

This discussion centers on transforming a Poisson distribution's mean value by 5% and establishing a connection between the varied values and sigma deviations from the original dataset. The user seeks a mathematical framework to relate these new values to standard deviations (σ) in the context of random variables, probabilities, expectations, and variances. The conversation emphasizes the need for a clear mathematical representation to facilitate this transformation.

PREREQUISITES
  • Understanding of Poisson distribution and its properties
  • Knowledge of standard deviation (σ) and variance concepts
  • Familiarity with random variables and their mathematical representation
  • Basic probability theory and expectations
NEXT STEPS
  • Explore the mathematical derivation of the Poisson distribution's variance
  • Learn how to calculate sigma deviations for transformed datasets
  • Investigate the implications of varying mean values in statistical distributions
  • Study the relationship between probabilities and expectations in Poisson processes
USEFUL FOR

Statisticians, data analysts, and researchers working with Poisson distributions or those involved in statistical modeling and variance analysis.

Alkass
Messages
19
Reaction score
0
Hi!

I do have this problem - Consider that for a set of values, I do have a Poisson distribution with mean value <m> - Now, I need to gather another set of dataset, which I should vary the mean value by 5% - My question is, how can I translate each one of these new values to sigma deviations from the principal dataset , ie how to make a connection between the "varied" value and sigma deviations ?

Thanks

Alex
 
Physics news on Phys.org
Hey Alkass and welcome to the forums.

Can you show what you mean mathematically (in terms of random variables, probabilities, expectations, and variances)?
 

Similar threads

High School Poisson distribution having variation coefficient = .5?
  • · Replies 4 ·
Replies
4
Views
1K
Graduate LogLikelihood - Poisson distribution
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How Should You Approach Fitting Multiple Gaussians to Data with Poisson Errors?
  • · Replies 28 ·
Replies
28
Views
4K
Graduate What exactly is a "rare event"? (Poisson point process)
  • · Replies 12 ·
Replies
12
Views
5K
Graduate Runners in a race, probability paradox
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Error bars in Excel (standard deviation, standard error, percentage)
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad How to implement proper error estimation using MC
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Monte Carlo to compute uncertainties, why report the mean and SD?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How Should I Calculate Error on the Mean with Identical Measurements?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Interpreting Poisson Regression Estimates across groups
  • · Replies 2 ·
Replies
2
Views
1K