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### 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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### 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 ...
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### 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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### 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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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 $\... 3 votes 1 answer 321 views ### Logistic regression using a probability as Input I am creating a model that predicts the availability of machines. Historical data is given as a percentage of time that the machine is available. (e.g. machine x was available 95% of the time) I ... 0 votes 0 answers 168 views ### Beta-distribution: how to generate a peak at certain mean value with a control on variance in extrems Following Distribution that has a range from 0 to 1 and with peak between them?, I generated a beta distribution that has a peak between 0 and 1 at the mean value. When the mean value is 0.5, I can ... 1 vote 1 answer 96 views ### Can a neural net approximate any conditional density asymptotically? Assume that the conditional density of$ 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}... 1 vote
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 ...