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for any and, where stands for the total variation distance.
For, it gives the total variation distance: (5.3).
For a deeper discussion of the total variation distance, we refer the reader to [1 4], and [5].
In other words, we obtained the corresponding bounds for the total variation distance (V(mathbf{p},mathbf {q})).
where ℒ denotes the distribution (law) of a random variable and dTV denotes the total variation distance.
The techniques used here are analogous to those in [2] dealing with the total variation distance between the aforementioned laws.
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We give exact closed-form expressions for the Kolmogorov and the total variation distances between Poisson, binomial, and negative binomial distributions with different parameters.
On the other hand, closed-form expressions for the Kolmogorov and total variation distances between some familiar discrete distributions with different parameters can be found in Adell and Jodrá [3].
Inter-variation distances were kept at >60 bp, choosing the variants with highest designability score.
Less variation in distance between conserved elements is observed compared to the distances between protein coding sequences in human-mouse and human-dog genome pairs.
Soils differ widely in their properties because of geologic and climatic variation over distance and time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com