# Questions tagged [logistic-distribution]

A distribution which CDF is the logistic function.

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### A Gaussian scale mixture representation of the logistic distribution

Can the logistic distribution with density function $$f(x) = \frac{e^{-x}}{\left(1 + e^{-x}\right)^2}$$ be represented as a Gaussian scale mixture? In other words, if \begin{align*} X|V &\sim N(0, ...
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### Item response theory with any cdf link

The IRT applications mostly use as link functions the logit and the probit, which are the cumulative distribution function (cdf) of the logistic and normal distributions, the resulting models gives ...
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### What is (are) scenerios and practical settings that can possibly lead to the weibull-log-Logistic mixture distribution?

In my paper I studied Weibull-loglogistic mixture distributions in reliability and life testing, some structural properties of the model are presented including moments, reliability, hazard rate ...
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### What are assumptions for logistic binomial regression if all independent and independent variables are dichotomous?

I have three independent and one dependent variables of the dichotomous type and I am trying to use logistic binomial regression. I have 117 observations in total. When I read the literature, some of ...
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### logistic distribution

Is it true that almost every discrete data set containing positive values follow logistic distribution if the data set is log-transformed and standardised(subtracting mean and dividing by standard ...
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### What logistic function 's mean have to do with vanishing gradient? [duplicate]

In case of logistic activation function Going forward in the network, the variance keeps increasing after each layer until the activation function saturates (slope becomes 0) at the top layers. This ...
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### how do i prove if two independent variables are highly correlated. is logistic variable(true/false) able to perform this test?

In my model all my variable are logistic e.g. have java skill, have python skill can i perform ...
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### What form of conjugate prior best fits this likelihood distribution? [closed]

Joint likelihood of a two part model consisting of logistic regression and log-normal model:
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### Normalizing model output in a binary classifier

In some cases, the business wishes to have the scores from a binary classifier normalized around a specific value. Are then general methods to apply this normalization? If we have a subset of ...
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### How to specify a risk model?

I'm reading this article. The authors indicated that for a random sample of 12 characteristics and 3600 patients affected in two arms (control and treatment arm), they fitted a risk model consisting ...
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### Parametric shared frailty models with individual monotone yet population non-monotone hazard

I'm fitting parametric survival models with/without shared frailty on individuals. The hazard in my data is very low at first, then increases and finally decreases again, sort of a bell shaped curve. ...
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### What is the probability distribution used in logistic regression called?

In logistic regression, we set the probability of predicting a target $y$ given a data $x$ as, $\Pr(Y = 1|X;w) = \dfrac{\exp(w^TX)}{(1+\exp(w^TX))}$ What is exactly this probability distribution (or ...
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### Independent variables should have exponential distribution in logistic regression

As per my understanding of logistic regression, a log of odds of the desired value of “y” should be in linear relation with the log (x). Does that mean that independent variables should have ...
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### Location and scale estimation for log-logistic in scipy

I have to estimate the location and scale parameters for a log-logistic or fisk distribution using scipy. The shape parameter is already defined and I would like to estimate loc and scale parameter ...
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### Logistic Regression - Error Term and its Distribution

On whether an error term exists in logistic regression (and its assumed distribution), I have read in various places that: no error term exists the error term has a binomial distribution (in ...
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### How to compute for Bivariate Logistic Distribution

This is the logistic distribution of single random variable (taken from Wikipedia). $x$ = random variable $\mu$ = mean of all random variables $s$ = variance. Now, I want to do a Bivariate logistic ...
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### Multivariate logistic distribution

The normal distribution can be generalized into the multivariate normal distribution. Can the logistic distribution also be generalized into a similar multivariate distribution? Is there a ...