# Questions tagged [distributions]

A distribution is a mathematical description of probabilities or frequencies.

7,922 questions
Filter by
Sorted by
Tagged with
0answers
46 views

1answer
24 views

1answer
27 views

### probability of left handedness [closed]

13 random people were chosen from the US population . 12 were found to be left handed, (none ambidextrous). Assume the incidence of left handedness in the US is 13%, and does not change with gender ...
0answers
35 views

### Dividing two gamma distributions [closed]

I am trying to determine the distribution function of 2 random variables X and Y such that X/Y. I have determined that X~gamma with parameters alpha = 3/2 and beta = 4 and Y~gamma with parameters ...
1answer
18 views

### Multiplying a chi-square distribution by a constant

If $X\sim\chi^{2}(3)$. What is the distribution of $2X$?
1answer
31 views

### Should I chose a linear, a generalised or a mixed model?

I have a dataset of n=3000 nested within 8 countries with approximately 200 or 400 responses in each country and planned to perform multilevel modelling with 4 dependent variables (DV) as fixed ...
0answers
46 views

### Sampling distribution of loss function

So I believe the sampling distribution of the likelihood function is a basic idea in frequentist statistics. For example, the Fisher information $\text{Var}_x(\nabla_\theta \log P(x|\theta))$ which ...
0answers
29 views

### Distance to uniform distribution for continuous probability distributions [closed]

I need to quantify the distance of a continuous probability distribution $f(x)$ to the uniform distribution on $x \in (-\infty, +\infty)$. Do you know any distance functions that could help here? For ...
2answers
109 views

### Maximum Value of Kernel Function in ABC

Are there cases where a kernel function, must have 1 as the maximum value ?? The definition of a Kernel can be found in the following link, https://en.wikipedia.org/wiki/Kernel_(statistics)#In_non-...
0answers
30 views

### Binomial-like distribution which the probability changes after certain trials

Let $0<p<q<1$. Consider a trial with success probability defined below. If it is a $100, 200, 300$th trial after the last success, the probability is $q$. If it is a $400$th trial after the ...
0answers
6 views

### Validity of sequential testing of parameter-eliminating hypotheses on a multi-parameter distribution

Suppose I have a continuous univariate distribution f(x: θ) where θ is a length-n vector θ = (θ1, θ2, ... θn). Suppose I fit such a distribution to a data set, and I want to test whether a simpler ...
0answers
14 views

### Replace missing predictions with actual values altered by an error

I have two time series: One year of the actual values of Y My predictions for Y in that year made by someone's guess The second time series, the one with the predictions, is missing two months. I ...
0answers
46 views

### Are there really many continous distributions without the PDF [duplicate]

This is one interesting question I take some time to search if there is any distribution function that is continuous but without the PDF. After some search I found Cantor distribution, sometimes ...
1answer
50 views

### I am measuring airborne bacteria in a new high-risk room; how do I determine sample size?

I am measuring airborne bacteria in a new high-risk room. The bacteria are measured with Petri plates that have area 19,5 cm$^2$. I have 30 old measurements results, that give average bacteria counts ...
0answers
18 views

### What theoretical distribution could this data be coming from?

I am trying to build a regression model to predict a variable whose count histogram and QQ plot is given blow. Does anybody have any idea know what theoretical distribution could this variable be ...
1answer
121 views

1answer
43 views

### Sum of squared normals: $\sum_{k=1}^{n}U_k^2 = \frac{1}{n}\sum_{k=1}^{n}a_k^2 \cdot \Gamma\left(\frac{n}{2},\frac{1}{2}\right)$

Assume $U_k \sim \mathcal{N}(0,a_k^2)$, where $a_k \rightarrow c > 0$ as $k \rightarrow \infty$. It follows that $U_k^2 \sim \Gamma(\frac{1}{2}, \frac{1}{2a_k^2})$. I'm interested in the exact and ...