All Questions
11
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Is below an example of Bayes theorem?
I went to an institute for hiring with low gender diversity (1 female students out of 10 male students), and observed an application of bayes theorem. Can you please confirm if is TRUE/ my thinking is ...
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What probability distribution fits? [duplicate]
I was in the store earlier, and I saw wrapped figurine collectibles that have 10 unique kinds. What distribution represents the probability that you have collected all 10 figurines after k figurines ...
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2
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124
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Election Toy Model leads to a question of an interesting function if it exists
In Canada there is an election going on and I was pondering about a function in which you have the polling averages for the different parties $x_1, x_2, x_3... x_n$ and then a function $f(x_1), f(x_2)....
1
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2
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323
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How can I understand Wasserstein Metric?
I've met Wasserstein metric in different topic, most in sampling and mathematic model of machine learning.
For two density function $\mu,\nu$ on $R^d$, the wasserstein distance between $\mu,\nu$ can ...
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0
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127
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Max Distance of a Simple Random Walk on Integers
I encounter this when proving bounds for a randomized algorithm, which is mathematically formulated below. Many thanks for any thoughts or discussions given.
Consider simple random walk $S_n = X_1 + \...
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1
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0
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Probability of stripes being distinguishable given probability density functions for each luminance
I have an image with seven stripes on it (or three stripes on a dark background), and the goal is to estimate the probability of whether they are distinguishable from one another.
If the values of ...
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1
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1
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806
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Current applications of the central limit theorem for binomial distributions
The central limit theorem in the binomal distribution case, also known as the De Moivre–Laplace theorem was historically used to approximate the binomal distribution with the normal distribution.
I ...
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1
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1
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Variance in offspring genotypes. Binomial distribution
Background
Here is first some vocabulary:
Diploid: phase in the life cycle where the individuals carry two chromosomes of each type, just like in humans (exception of the sexual chromosomes).
allele:...
- 1,615
9
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3
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Maximum possible variance
From this biology article, end of page 4, the author talks about a random variable which never takes value outside the range $[0,1]$ ($0$ and $1$ included in the range). He says that the maximum ...
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3
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2
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3k
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Probability distribution of the product of random numbers
For applied mathematics to evolutionary biology I am often faced to have to describe a probability distribution function (PDF) which results from the product of a function in which a parameter is ...
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12
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7
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Applications of Probability Theory in pure mathematics
My (maybe wrong) impression is that while probability is widely used in science (for example, in statistical mechanics), it is rarely seen in pure mathematics. Which leads me to the question -
Are ...