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# Questions tagged [gamma-distribution]

A non-negative continuous probability distribution indexed by two strictly positive parameters.

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### distribution of the ratio of two gamma random variables [duplicate]

Assume that $X \sim Ga(\alpha_1, \beta_1)$ and $Y \sim Ga(\alpha_2, \beta_2)$. Define $Z= X/Y$. What 's the distribution of $Z$?
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### Calculate log-odds posterior distribution

Given a gamma-posterior distribution $p(\theta|y)$ I want to compute the posterior distribution for the log-odds: $log\frac{\theta}{1-\theta}$ I tried to solve it with the change of variables (...
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### Calculate posterior distribution (gamma-prior, poisson-likelihood)

I want to calculate the posterior distribution given a gamma-prior and a poisson likelihood. The task is from a textbook and I just have the solutions (without a walkthrough). Please find all given ...
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### Gamma distribution with shape and scale parameter related to its skewness [closed]

I have two set of gamma distribution . standard deviation is related to its population mean Given unequal standard deviation, how do I make sure the population mean is equal (null hypothesis is ...
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### P.d.f for Gamma posterior with Exponential data

I am trying to perform a simple exercise: Sample $N$ points from $\text{Exponential}(\lambda=0.1)$ Assume a $\text{Gamma}(\alpha,\beta)$ prior for the parameter $\lambda$ above Build a p.d.f for the ...
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### Ancillary statistics:Beta distribution is free of $\beta$?

I am reading Robert V. Hogg Introduction to Mathematical Statistics 6th Version page 409, second paragraph. $X_1, X_2$ is a random sample from a Gamma $\text{G}(\alpha,\beta)$ distribution with ...
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### Help with transformations

I am working with these transformations and I'm not sure why I can't solve this problem. It's pretty easy but my math isn't working out...I may fundamentally misunderstand something. $X1, X2, X3$ are ...
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### Diagnostics for quasipoisson glm for continuous data

I'm a little confused about how to use the quasipoisson family in the glm function. It was recommended by someone that I use it for my analysis, even though the data are continuous - and as such, I ...
332 views

### Proper approach to Gamma-distributed data prediction with measurement errors in outliers

My task is to predict Gamma-distributed data with a large number of extreme-valued outliers caused by measurement error (i.e. the machine that records the values intermittently malfunctions). My ...
I have a variable $x_0$ which is an initial value of a process, it is a constant. The change in the process $\Delta x_t$ follows a Gamma distribution with parameter $(\alpha_t, \beta)$. What will be ...