The beta-binomial tag has no wiki summary.
3
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2answers
108 views
Update rule for beta distribution with fixed K/confidence/sample size
Normally you have a beta distribution with shape parameters $a$ and $b$.
The mean of this distribution is $a / (a + b)$ and the sample size, or the confidence (or K) is $a + b$.
Now, if you do some ...
0
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0answers
69 views
Moment estimation and MLE for beta binomial model
I have a data set (ni,yi),i=1,...,10. I modeled it as a beta-binomial model.
yi∼Binomial(ni,pi) and pi∼Beta(α,β).
Now I want to use moment estimation and MLE to estimate α and β.
For moment ...
2
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3answers
148 views
Use bayesian hierarchical model to predict new data points
I have a data set $(n_i,y_i),i=0,...,10$. I modeled it as a bayesian hierarchical beta-binomial model.
$y_i∼Binomial(n_i,p_i)$ and $p_i∼Beta(\alpha,\beta)$.
I have used MCMC to estimate $\alpha$ and ...
0
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1answer
91 views
Estimate beta binomial distribution
I have a dataset as follows:
ni-xi 76 48 38 19 20 14 26 29 39 45 38 36 32 34 26 21 23 12 24 18 14 61 35 21 32 20 89 30 34 35
xi 0 0 16 26 1 8 23 19 24 16 16 19 0 0 0 6 8 3 5 9 5 0 34 ...
0
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1answer
113 views
prior distribution to the binomial distribution probability distributions urn model
I have an infinite population with unknown mean of successes and failures. I'm drawing 400 times from the population and get 400 successes. Now I want to generate random estimates for the true mean of ...
0
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0answers
127 views
Need simple calculation for posterior standard deviation of binomial proportions
I'm going to use an example of baseball batting averages to explain what I'm after. Say I have $N$ number of batters, each with a varying number of at-bats $N_i$. So, for example, batter $N_1$ had 5 ...
7
votes
1answer
100 views
Which distributions on [0,1] other than the beta distribution form nice compounds with the binomial distribution?
For which distributions x, other than beta, is the x-binomial distribution nice? The beta and binomial distributions are famously conjugate but I am curious if other non-conjugate distributions will ...
1
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0answers
267 views
Types of dispersion parameter for binomial data
For a model with a binomial proportion as response variable, which is fitted with according to a binomial distribution, a dispersion parameter $\phi$ can be calculated, which is equal to the sum of ...
2
votes
2answers
275 views
Beta binomial Bayesian updating over many iterations
I'm using a beta binomial updating model for a piece of code that I am writing. The software is real time updating - meaning that data is continually being gathered and after N data points are ...
2
votes
1answer
227 views
What happens with the beta-binomial distribution, when n approaches infinity?
Short question: What happens to the beta-binomial distribution, when n increases to infinity? Is there a count distribution arising like it's for the classical binomial distribution?
1
vote
1answer
1k views
Fitting a beta-binomial model in the case of overdispersion in R
I'm estimating some count data. I have counts for say $m=100$ individuals. Unfortunately when using the Poisson regression overdispersion occurs. So I was thinking to fit a negbin model. But this is ...
4
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2answers
270 views
Fast integration of a posterior distribution
I wish to infer the posterior distribution on the probability of success $\theta$ in some binomial process, the twist being that I know that $\theta$ lies in the interval [0.5, 1].
The trouble is ...
8
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4answers
2k views
Relationship between Binomial and Beta distributions
I'm more of a programmer than a statistician, so I hope this question isn't too naive.
It happens in sampling program executions at random times. If I take N=10 random-time samples of the program's ...
2
votes
1answer
145 views
Aggregation of propensity scores with varying reliability
When trying to estimate the number of sampling units with an attribute, is there a good algebraic way to aggregate over propensity scores for that attribute which each have their own error? For ...
2
votes
2answers
540 views
Updating a beta-binomial
Suppose I'm modeling a set of processes using a beta-binomial prior. I can build parameterized beta-binomial models that average over large groups of the processes to give reasonable, although coarse, ...
0
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0answers
153 views
Effects of scale on the beta-binomial distribution [closed]
I have data counting the number of words that appear in text reviews, each review rated 1 to 5 stars. So for every word, I have the rating breakdown of reviews that contain that word.
I would like to ...
5
votes
3answers
842 views
Estimating beta-binomial distribution
Suppose that I culture cancer cells in n different dishes g₁, g₂, … , gn and observe the number of cells ni in each dish that look different than normal. The total number of cells in dish gi is ti. ...
