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  • 6 votes cast
May
25
comment Mixture of binomial distributions
Yes, the notation could be more rigorous. As you mentioned in your third comment, I seek the marginal distribution of $K$. I assume that $a$ is sufficiently small for the Poisson distribution to be a good approximation irrespective of $x$. Unfortunately, the approximation does not help with the integral.
May
25
asked Mixture of binomial distributions
Feb
25
comment Normal approximation to the log-normal distribution
@RobertIsrael, do you have a reference for your answer above? Citing stackexchange is probably a bit tricky.
Sep
23
awarded  Popular Question
Aug
18
asked Equivalent to proportionality sign for additive constants
Mar
28
comment What is the maximum volume of a cylinder that can fit in a sphere of a constant radius?
Thanks for the catch. That is now fixed.
Mar
28
revised What is the maximum volume of a cylinder that can fit in a sphere of a constant radius?
Correction motivated by comment.
Feb
10
awarded  Commentator
Feb
10
comment Repeated convolution of probability distributions
I have had a bit of a read and found some interesting distributions. For the sake of computational simplicity, I am interested in distributions with simple PDFs, CDFs and inverse CDFs. The Levy distribution seems a great candidate but has a non-finite moment. Any suggestions for a distribution with analytic PDF, CDF, inverse CDF and finite first moment?
Feb
10
answered Given $n$-linearly independent vectors how do I find a vector not orthogonal to any of them?
Feb
10
comment Repeated convolution of probability distributions
Thanks for the hint. I found this book, which discusses the topic in more detail: amazon.com/…
Feb
10
accepted Repeated convolution of probability distributions
Feb
10
awarded  Student
Feb
10
asked Repeated convolution of probability distributions
Jan
28
awarded  Yearling
Dec
4
awarded  Supporter
Dec
3
awarded  Tumbleweed
Nov
30
comment posterior density for bayesian estimations
The answer is updated to show how to determine the mean and median of the posterior.
Nov
30
revised posterior density for bayesian estimations
Added methods to determine mean, median and mode from normalized posterior.
Nov
30
comment posterior density for bayesian estimations
Yes, the factor of N was missing. Corrected. However, you do not need the full posterior distribution if you use appropriate estimators (e.g. maximize the posterior). You can find more information on page 3 of this publication: arxiv.org/abs/0906.0664 However, the full posterior is needed if you compare different models with one another.