Skip to content

Commit 0efbce6

Browse files
committed
Issue #332
Fixed terrible wording claiming the sum of two Gausian pdfs is normal. Of course, this is only true for independent normal random variables.
1 parent 6abd935 commit 0efbce6

File tree

1 file changed

+2
-2
lines changed

1 file changed

+2
-2
lines changed

03-Gaussians.ipynb

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -1282,7 +1282,7 @@
12821282
"\n",
12831283
"The discrete Bayes filter works by multiplying and adding arbitrary probability distributions. The Kalman filter uses Gaussians instead of arbitrary distributions, but the rest of the algorithm remains the same. This means we will need to multiply and add Gaussians. \n",
12841284
"\n",
1285-
"A remarkable property of Gaussian distributions is that the sum of two independent Gaussians is another Gaussian! The product is not Gaussian, but proportional to a Gaussian. There we can say that the result of multipying two Gaussian distributions is a Gaussian function (recall function in this context means that the property that the values sum to one is not guaranteed).\n",
1285+
"A remarkable property of Gaussians is that the sum of two independent independent normal variables (https://en.wikipedia.org/wiki/Sum_of_normally_distributed_random_variables) is also normally distributed! The product is not Gaussian, but proportional to a Gaussian. There we can say that the result of multipying two Gaussian distributions is a Gaussian function (recall function in this context means that the property that the values sum to one is not guaranteed).\n",
12861286
"\n",
12871287
"Before we do the math, let's test this visually. "
12881288
]
@@ -2140,7 +2140,7 @@
21402140
"name": "python",
21412141
"nbconvert_exporter": "python",
21422142
"pygments_lexer": "ipython3",
2143-
"version": "3.7.6"
2143+
"version": "3.7.4"
21442144
},
21452145
"widgets": {
21462146
"application/vnd.jupyter.widget-state+json": {

0 commit comments

Comments
 (0)