# Questions tagged [distributions]

A distribution is a mathematical description of probabilities or frequencies.

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### the mean and standard deviation aren't the same as those of the input data i provided after sampling

I have a log-normal mean and a standard deviation. after i converted them to the underlying normal distribution's parameters mu and sigma, I sampled from the log-normal distribution however when i ...
37 views

### Joint gaussian conditional on its sum greater than a value

Let us consider $X\sim\mathcal{N}(\mu,\Sigma)$ being a $d$-dimensional multivariate Gaussian random variable. I know that it is possible to calculate the distribution of $X|S=s$, where $S$ is the sum ...
35 views

### t- test for non normally distributed sample

I am doing a statistical test (analysis) for the following case: As part of a product aimed at improving the quality and speed of code writing for developers, we have implemented a new feature that ...
25 views

### Simulate Arrival Time for Scheduled Appointments

I'm trying to build a simulation of a healthcare center. The appointment times are scheduled every 30 minutes. However, some patients arrive later than their appointment and some might arrive early. ...
1 vote
113 views

### transformation of a kernel density estimate to uniform distribution

I am interested in estimating the expected value of a function, $f(x)$ with respect to a probability density function, $P(x)$. I am exploring a method that requires I change variables from the ...
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### Obtaining a tractable expression for P(X<2Y)

The joint probability of the bivariate random vector $(X,Y)$ is given by $f_{X, Y}(x,y) = \frac{1}{2\pi}e^{-\sqrt{x^2+y^2}}$. Compute $P(X<2Y)$. My attempt: I made the obvious transformation to ...
• 155
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### The reason behind fixing the IQR coefficient value in Interquartile Range method

To find the outliers, one common approach is to use the Interquartile Range method, especially when you know your data does not follow Gaussian distribution. ...
• 151
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### Detect and remove outliers from unknown distribution

I have completed a range of steady-state CFD simulations on building roofs. A contour map of the resulting variable is displayed in the Figure below with the corresponding values on the left side. ...
13 views

### Sorting samples from distribution before calculating the distance [duplicate]

I have to evaluate different methods for distribution fitting. So, given an sample set A I get a fitting distribution B or I might get another sample set C that is much like A. Now I need to do a ...
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### Distribution of half-life from radioactive decay

Suppose that $X$ measures the half-life of a radioactive element, with decay rate $\lambda$ (per unit of time). Starting from a population of $N$ particle, I believe you can model the number of ...
• 183
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### Understanding the relationship between a 'sampling distribution of a statistic' and a 'population distribution' in the context of a 'hypothesis test'

I would like to confirm that I am understanding the relationship between a sampling distribution of a statistic (an example of a 'statistic' would be a sample mean $\bar{x}$) and a population ...
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1 vote
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### When is it favorable to not visualize univariate data using empirical CDFs?

A straightforward question: when is it "favorable" to interpret visualizations using, say, boxplots, histograms/density estimates, versus empirical cumulative density functions (ECDFs)? I've ...
• 2,049
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### Why does "Hoeffding's bound greatly overestimates the probability of large deviations for distributions of small variance"?

I've read in a paper using Hoeffding's inequality to derive a bound on the probability of the difference of means of two samples being larger than a threshold that "Hoeffding's bound greatly ...
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1 vote
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### What is this type of data called?

An event occurs once per period, such as once per year. Time is measured in discrete units, such as days of the year. Let $A_y$ be the day in year $y$ on which this event occurs. However, we do not ...
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### How to deal with limited sampling when analyzing a probability distribution

I constructed a probability histogram for my data and wish to construct a log-log plot to look at the distribution, but the sampling (I'm not quite sure how to phrase this) is very poor at the tail ...
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### Simulating Horseshoe Distribution

Can someone check whether I correctly simulate the Horseshoe pdf? ...
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