From 98c305dea92b9e56d17fc19473d737b46a8fdfe9 Mon Sep 17 00:00:00 2001 From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com> Date: Sat, 26 Sep 2026 02:02:49 +0000 Subject: [PATCH 1/2] docs: update Markdown equation SVGs --- .../docs/img/equation_bradford_skewness.svg | 170 ++++++++++++++++++ 1 file changed, 170 insertions(+) create mode 100644 lib/node_modules/@stdlib/stats/base/dists/bradford/skewness/docs/img/equation_bradford_skewness.svg diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/skewness/docs/img/equation_bradford_skewness.svg b/lib/node_modules/@stdlib/stats/base/dists/bradford/skewness/docs/img/equation_bradford_skewness.svg new file mode 100644 index 000000000000..a0fbd18e3de6 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/skewness/docs/img/equation_bradford_skewness.svg @@ -0,0 +1,170 @@ + +s k e w left-parenthesis c right-parenthesis equals StartFraction StartRoot 2 EndRoot left-parenthesis 12 c squared minus 9 c log left-parenthesis 1 plus c right-parenthesis left-parenthesis c plus 2 right-parenthesis plus 2 left-parenthesis log left-parenthesis 1 plus c right-parenthesis right-parenthesis squared left-parenthesis c left-parenthesis c plus 3 right-parenthesis plus 3 right-parenthesis right-parenthesis Over StartRoot c left-parenthesis c left-parenthesis log left-parenthesis 1 plus c right-parenthesis minus 2 right-parenthesis plus 2 log left-parenthesis 1 plus c right-parenthesis right-parenthesis EndRoot left-parenthesis 3 c left-parenthesis log left-parenthesis 1 plus c right-parenthesis minus 2 right-parenthesis plus 6 log left-parenthesis 1 plus c right-parenthesis right-parenthesis EndFraction + + + \ No newline at end of file From 4fdb74d53d5801130d5b346a8c92fef790eed055 Mon Sep 17 00:00:00 2001 From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com> Date: Sat, 26 Sep 2026 02:03:16 +0000 Subject: [PATCH 2/2] docs: update Markdown equation elements --- .../@stdlib/stats/base/dists/bradford/mean/README.md | 2 +- .../@stdlib/stats/base/dists/bradford/skewness/README.md | 7 ++++++- 2 files changed, 7 insertions(+), 2 deletions(-) diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/mean/README.md b/lib/node_modules/@stdlib/stats/base/dists/bradford/mean/README.md index 5a2ef5f7b2fc..9d2e7e43c860 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/bradford/mean/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/mean/README.md @@ -35,7 +35,7 @@ The [expected value][expected-value] for a [Bradford][bradford-distribution] ran ``` diff --git a/lib/node_modules/@stdlib/stats/base/dists/bradford/skewness/README.md b/lib/node_modules/@stdlib/stats/base/dists/bradford/skewness/README.md index 796f6f1c76d1..14287605b465 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/bradford/skewness/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/bradford/skewness/README.md @@ -31,9 +31,14 @@ The [skewness][skewness] for a [Bradford][bradford-distribution] random variable ```math -\mathop{\mathrm{skew}}\left( c \right) = \frac{\sqrt{2}\,\Bigl(12c^2 - 9c\,\log(1+c)(c+2) + 2\,(\log(1+c))^2\,(c(c+3)+3)\Bigr)}{\sqrt{c\,\Bigl(c\,(\log(1+c)-2)+2\log(1+c)\Bigr)}\Bigl(3c\,(\log(1+c)-2)+6\log(1+c)\Bigr)} +\mathop{\mathrm{skew}}\left( c \right) = \frac{\sqrt{2}\,\Bigl(12c^2 - 9c\,\log(1+c)(c+2) +2\,(\log(1+c))^2\,(c(c+3)+3)\Bigr)}{\sqrt{c\,\Bigl(c\,(\log(1+c)-2)+2\log(1+c)\Bigr)}\Bigl(3c\,(\log(1+c)-2)+6\log(1+c)\Bigr)} ``` + +