# Questions tagged [logistic-distribution]

A symmetric distribution which CDF is the logistic function.

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### What is the specific name of this distribution?

I just can’t seem to find the name of this distribution: $$\frac{e^{-x}}{(1+e^{-x}) ^2}.$$ From my understanding, it is generally applied to pandemics/epidemics. None of the statistics books that I ...
30 views

### How to linearize logistics function? [closed]

The function is $y=L/(1+e^{(-kx)} )$. After research I found this equation to linearize it, replace y values by this: $\ln(1/(y/(L-1)))$ , then keep x values the same and plot it. But with further ...
64 views

### Approximating the standard normal density with the logistic density: How to numerically optimize $\infty$-norm?

Let's say that we want to use the logistic distribution as an approximation to the standard normal density. As the location parameter of the logistic distribution is $0$, the scale parameter $s$ is ...
1 vote
25 views

### Plotting custom logistic distribution

I'm trying to understand the logistic distribution and its application in a sports scoring model. The CDF of the logistic distribution is: $F(x) = {1 \over 1 + e^{-(x-\mu) / s}}$ I can then use ...
1 vote
20 views

### Need guidance to fit logistic distributions to compare performances in multiple events

Ok, here's the thing. I'm trying to compare performances in different running events (i.e. all registered performances in each event from 1990 to 2023), to estimate equivalent performances. After ...
126 views

### How to evaluate a Logistic Regression?

There are some previous post treating how to validate a logistic regression: Source 1 and Source 2. But, still, those threads does not answer my question. Therefore: If a logistic regression predict ...
97 views

### Logistic regression - Confidence interval for x axis

My question is very similar to the post Confidence interval for x-values given a probability in a logistic regression where ultimately no answer was given. I have also posted a similar version on the ...
630 views

### Where does the Logistic Distribution get its name?

Having read around on the topic I understand its application as a close approximation of the normal distribution with a nicer mathematical form, but where does its name come from? Is it associated ...
1 vote