Linked Questions

91 votes
7 answers
156k views

Calculating the parameters of a Beta distribution using the mean and variance

How can I calculate the $\alpha$ and $\beta$ parameters for a Beta distribution if I know the mean and variance that I want the distribution to have? Examples of an R command to do this would be most ...
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  • 1,498
15 votes
3 answers
10k views

Common Continuous Distributions with [0,1] support

Question I am looking to understand what possible common statistical continuous distributions exist with support [0,1]. Background In my work I often come across data which are bounded between 0 and ...
9 votes
2 answers
3k views

Beta as distribution of proportions (or as continuous Binomial)

Beta distribution is related to binomial being also the distribution for order statistics. Probability mass function of binomial distribution is $$ f(k) = {n \choose k} p^k (1-p) ^{n-k} \tag{1} $$ ...
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  • 115k
0 votes
2 answers
468 views

Random number (between 0 & 1; > 5 decimal places) from binomial/beta-like distribution, with set mean (same as mode & median) and set variance

Due to misunderstandings and as per request I have rollbacked this question to this previous state. Please do not answer this question instead answer this one: Random number (between 0 & 1; > 5 ...
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  • 25
3 votes
3 answers
308 views

Bayesian parameter estimation with proportion data

I am trying to do a Bayesian analysis using a model that comes from the literature in non-Bayesian form: $y = \Phi\Bigg(\frac{1}{\alpha} * log(A/\beta)\Bigg)$. Because the model uses the function $\...
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3 votes
1 answer
321 views

Logistic regression using a probability as Input

I am creating a model that predicts the availability of machines. Historical data is given as a percentage of time that the machine is available. (e.g. machine x was available 95% of the time) I ...
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  • 31
0 votes
0 answers
168 views

Beta-distribution: how to generate a peak at certain mean value with a control on variance in extrems

Following Distribution that has a range from 0 to 1 and with peak between them?, I generated a beta distribution that has a peak between 0 and 1 at the mean value. When the mean value is 0.5, I can ...
user avatar
  • 1
1 vote
1 answer
96 views

Can a neural net approximate any conditional density asymptotically?

Assume that the conditional density of $ y \vert x $ is a Beta distribution for all values of x. Can a Beta distribution with parameters computed by a neural net, i.e. Beta($\hat{\alpha}$, $\hat{\beta}...
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1 vote
1 answer
85 views

Valid highly informative prior for proportion

I am trying to find a prior distribution for a proportion $\theta$ that is highly informative i.e. it is almost point mass at $\theta$ but I am not able to find such distribution that is valid for a ...
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  • 75
0 votes
0 answers
59 views

Random number (between 0 & 1; > 5 decimal places) from skewed binomial/beta-like distribution, with set mean (same as mode) and set variance

Disclaimer: I already asked this question once, however it was misunderstood and I was told by a moderator to repost it: Random number (between 0 & 1; > 5 decimal places) from binomial/beta-...
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  • 25