notes: fix statistic typos

This commit is contained in:
Michele Guerini Rocco 2020-07-06 15:14:39 +02:00
parent 747f2f4335
commit d8a00dbd10
Signed by: rnhmjoj
GPG Key ID: BFBAF4C975F76450
2 changed files with 4 additions and 4 deletions

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@ -125,8 +125,8 @@ $$
On each iteration the function is interpolated by a parabola passing though the
points $x_\text{min}$, $x_e$, $x_\text{max}$ and the minimum is computed as the
vertex of the parabola. If this point is found to be inside the interval, it is
taken as a guess for the true minimum; otherwise the method falls back to a g
olden section (using the ratio $(3 - \sqrt{5})/2 \approx 0.3819660$ proven to be
taken as a guess for the true minimum; otherwise the method falls back to a
golden section (using the ratio $(3 - \sqrt{5})/2 \approx 0.3819660$ proven to be
optimal) of the interval. The value of the function at this new point $x'$ is
calculated. In any case, if the new point is a better estimate of the minimum,
namely if $f(x') < f(x_e)$, then the current estimate of the minimum is updated.
@ -173,7 +173,7 @@ although the result is quite imprecise.
#### Median
The median is a central tendency statistics that, unlike the mean, is not
The median is a central tendency statistic that, unlike the mean, is not
very sensitive to extreme values, albeit less indicative. For this reason
is well suited as test statistic in a pathological case such as the Landau
distribution.

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@ -389,7 +389,7 @@ Aerial and lateral views of the samples. Projection line in blue and cut in red.
Using the same parameters of the training set, a number $N_t$ of test samples
was generated and the points were classified applying both methods. To avoid
storing large datasets in memory, at each iteration, false positives and
negatives were recorded using a running statistics method implemented in the
negatives were recorded using a running statistic method implemented in the
`gsl_rstat` library. For each sample, the numbers $N_{fn}$ and $N_{fp}$ of
false negative and false positive were obtained in this way: for every signal
point $x_s$, the threshold function $f(x_s)$ was computed, then: