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Results tagged with distributions
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user 141356
A distribution is a mathematical description of probabilities or frequencies.
1
vote
Accepted
is it reasonable to consider the pixels as discrete-value? does different perspective lead t...
The 8-bits coding for each color level in each pixel is just a convention, you may also use 16-bits scheme, specially if you deal with professional or amateur photography or photo editing. Colours spa …
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3
votes
Accepted
Kolmogorov-Smirnov test statistic interpretation with large samples
But my favorite of all between-distributions distances is earth mover distance, which is, in the univariate numeric case, the whole area between two ECDFs. … All these options are "holistic" distance metrics between distributions, in the sense Single Malt meant. …
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1
vote
Proving that as N increases, it is more likely that x - y > z, with x \in X, y \in Y, z \in Z
Given a sequence of independent events $A_i$ each of them has probability $p > 0$, the probability of having at least one event $A_i$ happening for $i \le n$, is $1-(1-p)^n$ which is always increasing …
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10
votes
Is there a name for the midpoint of a sum (not a mean or median)?
I never heard of such statistic, but it occurs to me that it has terrible properties as a central tendency estimator: supposing that your distribution is always positive (negative values can actually …
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1
vote
The expected long run proportion of time the chain spends at $a$ , given that it starts at $c$
Consider that $\ell_c$ has non-zero values only for $a$, $b$ and $e$, it is, in fact, a weighted sum of the two stationary distributions above (and therefore, it is a stationary distribution as well). …
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3
votes
Accepted
Finding similarity between two datasets
If you fix the counties populations in your simulation to be the real ones, the similarity measure using this distributions will reflect only the differences between proportions of white people, giving …
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0
votes
Accepted
Are Bhattacharyya coefficient and total variation distance complementary?
No, they are not.
I got confused by the images depicting BC. Truth is, TVD is kind of complementary to histogram intersection distance (meaning that they are complementary as long as you measure TVD …
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0
votes
Accepted
Why does the predictive distribution involve no $\textit{new}$ data?
It's all about bayesian terminology.
In bayesian statistics the name 'predictive distribution' is used for new data points and for old (training) ones as well. It is an established diagnositic proce …
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1
vote
2
answers
214
views
Are Bhattacharyya coefficient and total variation distance complementary?
I was reading about total variation distance, and, as I understood it, it should measure how much two probability measures don't overlap. To be clear: in these images Bhattacharyya coefficient is illu …
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