# Questions tagged [distributions]

A distribution is a mathematical description of probabilities or frequencies.

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### Variance of a sequence of bernouli(p) trials where p is drawn from uniform distribution [0,1]

A number p is drawn from the interval [0,1] according to the uniform distribution, and then a sequence of independent Bernoulli trials is performed, each with success probability p. What is the ...
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### How discriminator output in GAN is a probability distribution?

Recently I asked a question about GAN,What is the intuition behind the expected value in orginal GAN papers objective function? , In there I came to know that the discriminator output is viewed as a ...
1answer
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### What is the name of $D(F,G)=\int(F(x)-G(x))^2dF(x)$?

Is there a statistical distance between two 1-dim distribution F and G that $D(F,G)=\int(F(x)-G(x))^2dF(x)$? Or to symmetrize it, take $D^s(F,G)=\int(F(x)-G(x))^2dF(x)+dG(x)$ If not, why? (What are ...
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### Forward or Reverse KL Divergence - based on available sampling

Let us say our KL Divergence equations are as follows: $$\text{Forward KL Div.} = D_{KL}[P_X || P_{F(Z)}]$$ $$\text{Reverse KL Div.} = D_{KL}[P_{F(Z)} || P_X]$$ Let's say we have 2 cases, one ...
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### Does Kernel density estimation normalise the distributions?

I am analysing polymorphisms distribution data from Next Generation Sequencing data using Kernel density estimation (KDE). However I would like to know if this method permit an unbiased comparisons, i....
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### Conditioning on probability zero: Can we say $P(B \le A|B=b) = P(b \le A|B=b)$?

Let $A,B$ be continuous random variables. Let $E,G,H$ be events. Let $t \in image(B)$. (I forgot if any 2 continuous random variables necessarily have a well-defined joint pdf. If not, then assume ...
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### Is there a name for this generalisation of the exponential distribution

Is there a name for the following: $$f(x) = \lambda(x) e^{\int_0^x -\lambda(t) dt}$$ which is similar to an exponential distribution. If $f(x)$ is a polynomial, would this be classed as a gamma ...
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### what is the standard deviation of the geometric mean sample distribution?

I wrote a python script to take a population distribution of a random variable in the interval (0,1) to be uniform and make 2 sample distribution: The fist is the distribution of the arithmetic mean ...
1answer
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### Bias correction for regression with t-distributed error

I have a GAM /regression model which is originally defined as: log10(Y)~s(log10(X1))+s(log10(X2))+s(log10(X3)) #using R mgcv The response needs to be back ...
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### Does different data distribution of training and testing data cause overfitting?

Let's assume that I'm developing a classification model for the product of my company but there's a problem. The problem is the data from my company is not enough to develop the model since my company ...
1answer
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### Evaluation of Propensity Score Matching: quantify bias of variation in sample distribution

I've completed propensity score matching of a treatment and control group across a number of covariates. On two categorical covariates we require an exact match, for example, Gender and Eye Color, and ...
1answer
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### Distribution of Difference between Functions

I am attempting to find the distribution of the difference between two functions. In the images below I have one function in green, and one function in black defined by the red points. When I ...
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### Monte Carlo sampling ( accept/reject) for geographic dataset

I have a dataset consisting of latitude and longitude and I'm confused on which approach to use to determine the distribution of points so I can apply the monte Carlo accept/reject for sampling. this ...