# Questions tagged [gamma-distribution]

For problems that are related to gamma-family probability distributions.

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### Sum of Probability Density Function outputs is larger than 1

I have a 2 dimensional Euclidean space. Each dimension has a size of 71, so there are $71 \times 71$. The $X$ axis ranges from -35 to 35 and the $Y$ axis from 0 to 70. Using the PDF of a Normal-Gamma ...
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### Bayes' theorem and law of total probability with CDFs

Suppose $X$ has Gamma(2, λ) distribution, and the conditional distribution of $Y$ given $X = x$ is uniform on $(0, x).$ Find the joint density function of $X$ and $Y,$ the marginal density function of ...
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### Gamma Random Variable Confusion

I know that the gamma random variable can be thought of as an extension to the exponential random variable. The exponential random variable measures the time it takes for one event to appear, while ...
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### Find solution of complex multiplication of gamma distributions.

As my main goal is to find the path, or change in $\theta$ value as $k$ changes. So I am trying to find the solution value for $\theta$. The equation that I want to solve is : given two gamma ...
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### What material do I need to cover to understand the gamma function?

I'm taking a course on Bayesian statistics, and my furthest understanding of math only extends to Calculus 1, logic, and elementary statistics. I'm learning about the gamma distribution (and the ...
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### Expectation of 2 Gamma Distributions with different rate parameter

Given an event that happen at 2 different rates $\lambda_1$ and $\lambda_2$ simultaneously. What's the expectated time until $\alpha$ occurances in total? From what I've googled, I found that two ...
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### Probability between two values of a gamma distribution

I am trying to solve a problem where I have a random variable X that follows a gamma distribution of $\Gamma(\theta = 5, \alpha = 4)$. I am trying to find the probability of $P(10 \leq X \leq 30)$. ...