27 нояб. 2019 г. · One particulariy of this Gamma-Poisson mixture, is that the marginal distribution will be distribution as a Negative-Binomial random variable.

18 нояб. 2019 г. · One interesting property of the Gamma-Poisson mixture is that the marginal distribution is Negative Binomial.

15 июл. 2019 г. · (I would be interested in, when I repeatedly sample from a Poisson, given samples from a gamma distribution, what will be the mean of this ...

14 нояб. 2014 г. · The bottom of the conjugate prior page shows that the Gamma distribution is a conjugate prior of the Poisson distribution.

18 сент. 2018 г. · I want to take a Bayesian approach - specifically, as I get more days of data, I want to update λ with the conjugate prior distribution to the Poisson, Gamma.

20 февр. 2016 г. · This issue is connected with the two ways of parametrising the second parameter θ of a Gamma G(ν,θ) distribution, scale versus rate.

24 нояб. 2023 г. · However, the table made no mention of the type of distribution for the posterior of the parameter, so I can only assume it is also Gamma.

23 нояб. 2021 г. · Now to find the prior predictive distribution we use the following: p(X)=∫∞0p(X|θ)p(θ)dθ=∫∞0θx−12e−θx! dθ=Γ(x+12)x! ∫∞01Γ(x+12)θ(x+12) ...

16 февр. 2013 г. · We can assume the prior distribution for θ follows Gamma(α,β),. The posterior distribution of θ|y is also Gamma while the posterior predictive ...

19 мар. 2024 г. · If θ|(α,β)∼Γ(α,β), we have p(xi|α,β)=(α+xi−1xi)(ββ+1)α(1β+1)xi,α,β>0. Under these facts, obtain the posterior distribution of (α, ...