New answers tagged poisson-distribution
1
vote
Sample size calculation for the rate of infections between two groups
As pointed out by @Robert Long and @mdewey a comparison in means would not be valid for a poisson distributed proportion.
Hence I moved to the twosamplefreq method which is the calculation for a chi-...
- 21
3
votes
Distribution of a conical combination of n poisson variables?
What sort of linear combinations are you looking for? A sum of a few variables, or a sum of many variables?
With more information about this you could use it to make some approximation. E.g. $\frac{1}{...
- 71.9k
4
votes
Accepted
Bayes estimator of possion distribution with Pareto prior
I will simplify the analysis by using the parameter $\alpha = 1/\beta$. Letting $\phi = \ln (\theta)$ we have $d \theta /d \phi = \exp(\phi)$ so we can write the prior for $\phi$ as:
$$\begin{align}
\...
- 118k
5
votes
Theoretical justification for using a zero-inflated count model
The key distinction here between using a zero-inflated model or not is already in this part of your question:
It is sometimes useful to conceive of those zeros coming from two different generating ...
- 8,665
4
votes
Theoretical justification for using a zero-inflated count model
I think it’s more a matter of what the scientist is trying to uncover. There’s an example in the book Statistical Rethinking of Monks at momentary, who principally make beers while working. If you fit ...
- 2,507
14
votes
Why does my bootstrap sampling distribution no resemble the true sampling distribution?
Expanding on the answer by John Snow (+1), the gist behind the bootstrap is that, if we can't go back and sample from the original distribution, the next-best option is to use the empirical ...
- 58.4k
21
votes
Accepted
Why does my bootstrap sampling distribution no resemble the true sampling distribution?
The bootstrap validity hinges on the asymptotic theory. 11 observations sounds like a very small sample. Try to simulate a sample of size n=100 or n=1000 and then bootstrap it. Does it look better? ...
- 351
3
votes
Joint and conditional probability with Poisson and Binomial distributions
Simple and short
I started below with some long computation starting from your erroneous $P(X \ge 3, Y \ge 1)$. Trying to make an intuitive interpretation of the end result it made me realize that we ...
- 71.9k
3
votes
Joint and conditional probability with Poisson and Binomial distributions
This problem has its roots on compound Poisson process. The correct way of approaching it is to express the number of boys $X$ in a household as
\begin{align*}
X = D_1 + \cdots + D_N,
\end{align*}
...
- 16.8k
2
votes
How to relate two averages to find a probability?
Another issue you might want to think about is that a team might be good at offence, and poor at defence. The defensive strength of a team can be estimated by the number of goals it concedes, and the ...
- 1,750
4
votes
Are these two equivalent forms for the likelihood of a Poisson point process?
I would consider only the first one as being the likelihood of a Poisson point process. It is unclear what the second expression is aiming at.
Point processes are complex and so is the formulation of ...
- 649
Top 50 recent answers are included