Questions tagged [beta-distribution]

A two-parameter family of univariate distributions defined on the interval [0,1].

The "Beta distribution" is a two-parameter family of univariate distributions defined on the interval [0,1]. The probability density function of the distribution is:

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with positive parameters α and β.

A common use of the distribution is in Bayesian statistics as a prior for the Binomial distribution. The Beta distribution is also used in beta regression, which can be useful when the dependent variable has a floor or ceiling effect or is bounded.

In scientific software for statistical computing and graphics, function dbeta computes density of a beta distribution, pbeta computes CDF of a beta distribution, qbeta computes quantile of beta distribution and rbeta draw samples from a beta distribution.

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How to evaluate beta distribution only once in python?

In a simulation that I am running I have to draw many many values from the same beta distribution. Currently, I am using import random ... for i in range(n_Aa): h = random.betavariate(a, b) // With some values for 'a' and 'b' ... This code,…
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how to create a random loss sample in r using if function

I am working currently on generating some random data for a school project. I have created a variable in R using a binomial distribution to determine if an observation had a loss yes=1 or not=0. Afterwards I am trying to generate the loss amount…
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Scale dataset in R

I have 528 observed of temperature data the range value of data (2-53). I was to scaled the data to make it range between 0 and 1 to fit beta distribution to find weather the beta distribution is fit the data or not. Can anyone tell me please how…
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represent the frequency line in a histagram using freq=TRUE

I have the following piece of code in R: w=rbeta(365,1,3,ncp=0) hist(10*w,breaks=25,freq=TRUE,xlim=c(0,10), ylim=c(0,60)) h=seq(0,1,0.05) So far so good. What I want to do now is to add a line representing the beta function having parameters…
Pezze
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domain using plot function in r

I start saying that i am really new to R, hence this could be a very simple problem. I want to do a monte carlo simulation with a beta distribution. The case is that i have a website, which will receive from 0 to 10 visualisations each day for one…
Pezze
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How to do MCMC simulation using Metropolis hasting algorithm in Matlab?

I am trying to simulate a distribution for parameter theta f= theta ^(z_f+n+alpha-1)*(1-theta)^(n+1-z_f-k+ beta-1), where all the parameter except for theta is know. I am using Metro polish hasting algorithm to do the MCMC simulation . My proposal…
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Generation of binary data using Beta distribution in R

I am new user in R. In my work, I have to generate binary data(0 or 1) using beta distribution (rbeta command). I have to create a matrix of such data. In some of the columns I want to have more zeros than ones or ones more than zeros. And this…
kalyani
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inverse cumulative probability of beta distribution in php

I am trying to find a function with the functionality equivalent to inverse beta CDF. I searched for the function but i could not find anything which can do this task. Is there any library function which can do this? Or is there any way to achieve…
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R - Derivatives of the inverse of the regularized incomplete beta function w.r.t. shape parameters

The regularized incomplete beta function I(x,a,b) is the CDF for a random variable distributed Beta(a,b). I have a problem that requires computing the partial derivatives of its inverse (the quantile function) w.r.t. parameters a and b. Do you know…
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What is the equation for beta1 prime, beta2 prime and the normalizing constant in the following beta distribution?

Can someone tell me what the separate equations for beta1 prime (B_1) and beta2 prime (B_2) and the normalizing constant are in this beta distribution? How does one go about computing them? θ ^(k+β_1 -1) (1 − θ)(n−k+β_2 −1)/B(k+β_1, n-k +…
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