Transforming a % variation of the mean from Poisson to σ

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
 
Mathematics 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)?
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

B Poisson distribution having variation coefficient = .5?
Replies
4
Views
1K
A LogLikelihood - Poisson distribution
Replies
2
Views
2K
MHB Calculating Data Set w/ MEAN=100 & STD DEV=15 & n=3
Replies
5
Views
3K
Poisson ratios for Orthotropic materials (composites)
Replies
1
Views
3K
I Central Limit Theorem and fitting data
Replies
22
Views
3K
A Calculating the variance of integrated Poisson noise on a defined quantity
Replies
36
Views
4K
Young's Modulus and the Poisson Ratio of Aluminium
Replies
1
Views
2K
I What is the significance of standard deviation for arbitrary distributions?
Replies
4
Views
2K
I How Should You Approach Fitting Multiple Gaussians to Data with Poisson Errors?
Replies
28
Views
3K
MHB Could use help, know the answers but with the process and equations
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top