Mixing
Scaling an image to make math text smaller
Clash Royale CLAN TAG#URR8PPP
up vote
2
down vote
favorite
Since you cant set the size of math notation I was wondering if we can scale the image to be larger so that math appears smaller?
Also I`d like to be able to change the x-axis and y-axis of the subplot to be similar to to the sample image?
Finally, this might be difficult but its possible to add some sample curves/paths in light gray for the distributions that roughly match the mean and variance with some random curvature similar to the example below?
Rotated Normal Distribution
tikz-pgf pgfmath
asked 4 hours ago
user171006
304
add a comment |Â
up vote
2
down vote
favorite
Since you cant set the size of math notation I was wondering if we can scale the image to be larger so that math appears smaller?
Also I`d like to be able to change the x-axis and y-axis of the subplot to be similar to to the sample image?
Finally, this might be difficult but its possible to add some sample curves/paths in light gray for the distributions that roughly match the mean and variance with some random curvature similar to the example below?
Rotated Normal Distribution
tikz-pgf pgfmath
asked 4 hours ago
user171006
304
add a comment |Â
up vote
2
down vote
favorite
up vote
2
down vote
favorite
Since you cant set the size of math notation I was wondering if we can scale the image to be larger so that math appears smaller?
Also I`d like to be able to change the x-axis and y-axis of the subplot to be similar to to the sample image?
Finally, this might be difficult but its possible to add some sample curves/paths in light gray for the distributions that roughly match the mean and variance with some random curvature similar to the example below?
Rotated Normal Distribution
tikz-pgf pgfmath
asked 4 hours ago
user171006
304
Since you cant set the size of math notation I was wondering if we can scale the image to be larger so that math appears smaller?
Also I`d like to be able to change the x-axis and y-axis of the subplot to be similar to to the sample image?
Finally, this might be difficult but its possible to add some sample curves/paths in light gray for the distributions that roughly match the mean and variance with some random curvature similar to the example below?
Rotated Normal Distribution
tikz-pgf pgfmath
tikz-pgf pgfmath
asked 4 hours ago
user171006
304
asked 4 hours ago
user171006
304
edited 4 hours ago
asked 4 hours ago
user171006
304
asked 4 hours ago
user171006
304
asked 4 hours ago
user171006
304
304
add a comment |Â
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
3
down vote
accepted
To increase the size of the plot, you just may adjust width and height. The second part of the question I don't understand. Indicating mean and variance is straightforward.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
pgfmathsetmacrooffset0.05
begintikzpicture[font=sffamily,
declare function=gauss(x,y,z)=offset+1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]
beginaxis[samples=101,smooth,hide axis,width=20cm,height=11cm]
addplot [domain=-3:3] (gauss(x,0.8,0),x);
addplot [domain=-3:3] (1+gauss(x,1.2,0),1+x);
addplot [domain=-3:3] (2+gauss(x,0.6,0),x);
foreach [count=Y starting from 0] vari/DeltaX in 0.8/0,1.2/1,0.6/0
typeoutvari/DeltaX
edeftempnoexpanddraw[gray] (Y+offset,vari+DeltaX) -- (Y+gauss(vari,vari,0),vari+DeltaX)
(Y+offset,-vari+DeltaX) -- (Y+gauss(vari,vari,0),-vari+DeltaX)
(Y+offset,DeltaX) -- (Y+gauss(0,vari,0),DeltaX)
;
temp
draw[-latex] (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1)
node[below right,rotate=-90]$x(t_i)$;
draw[-latex] (0,-3) -- (0.5,-3) node[below left,rotate=-90]$fbigl(x(t_i)bigr)$;
draw (1,-2) -- (1,4) coordinate[pos=0.6](x2) coordinate[pos=0.5] (y2);
draw (2,-3) -- (2,3) coordinate[pos=0.6](x3) coordinate[pos=0.5] (y3);
addplot[-latex] coordinates(-0.5,-4) (3,-4);
path (0,-4) coordinate (z1) (1,-4) coordinate (z2) (2,-4) coordinate (z3);
coordinate (t) at (3,-4.1);
coordinate (xi) at (-0.6,4);
addplot[-latex] coordinates(-0.5,-4) (3,-4);
addplot[-latex] coordinates(-0.5,-4) (-0.5,4);
endaxis
foreach X in 1,2,3
fill (xX) circle (2pt);
draw ([xshift=-1mm]yX) -- ([xshift=1mm]yX);
draw ([yshift=1mm]zX) -- ([yshift=-1mm]zX) node[below] $X$;
node[anchor=north east] at (t) time;
node[anchor=north east] at (xi) $x(t)$;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument
Alternative you may just decrease the size of the font.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
pgfmathsetmacrooffset0.05
begintikzpicture[font=sffamilysmall,
declare function=gauss(x,y,z)=offset+1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]
beginaxis[samples=101,smooth,hide axis,width=15cm,height=8cm]
addplot [domain=-3:3] (gauss(x,0.8,0),x);
addplot [domain=-3:3] (1+gauss(x,1.2,0),1+x);
addplot [domain=-3:3] (2+gauss(x,0.6,0),x);
foreach [count=Y starting from 0] vari/DeltaX in 0.8/0,1.2/1,0.6/0
edeftempnoexpanddraw[gray] (Y+offset,vari+DeltaX) -- (Y+gauss(vari,vari,0),vari+DeltaX)
(Y+offset,-vari+DeltaX) -- (Y+gauss(vari,vari,0),-vari+DeltaX)
(Y+offset,DeltaX) -- (Y+gauss(0,vari,0),DeltaX)
;
temp
beginscope[thick]
draw[-latex] (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1)
node[below right,rotate=-90]$x(t_i)$;
draw[-latex] (0,-3) -- (0.5,-3) node[below left,rotate=-90]$fbigl(x(t_i)bigr)$;
draw[-latex] (1,-2) -- (1,4) coordinate[pos=0.6](x2) coordinate[pos=0.5] (y2);
draw[dashed] (0,-3) -- (0,-3.5);
draw[-latex] (2,-3) -- (2,3) coordinate[pos=0.6](x3) coordinate[pos=0.5] (y3);
draw[dashed] (1,-2) -- (1,-3.5);
path (0,-4) coordinate (z1) (1,-4) coordinate (z2) (2,-4) coordinate (z3);
draw[dashed] (2,-3) -- (2,-3.5);
coordinate (t) at (3,-4.1);
coordinate (xi) at (-0.6,4);
addplot[-latex] coordinates(-0.5,-3.5) (3,-3.5);
addplot[-latex] coordinates(-0.5,-3.5) (-0.5,3.5);
endscope
pgfplotsinvokeforeach1,...,20
draw[very thin] plot[smooth] coordinates
(0,sign(2*rand-1)*(exp(-rand/0.8)-1))
(1,1+sign(2*rand-1)*(exp(-rand/1.6)-1))
(2,sign(2*rand-1)*(exp(-rand/1.2)-1));
endaxis
foreach X in 1,2,3
fill (xX) circle (2pt);
draw ([xshift=-1mm]yX) -- ([xshift=1mm]yX);
draw ([yshift=1mm]zX) -- ([yshift=-1mm]zX) node[below] $X$;
node[anchor=north east] at (t) time;
node[anchor=north east] at (xi) $x(t)$;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument
answered 4 hours ago
marmot
64.9k471139
those lines to indicate mean/variance are nice thank you marmot youre awesome !
– user171006
4 hours ago
what i meant is would it be possible to add curves like in the diagram above that vary around the mean?
– user171006
4 hours ago
1
@user171006 I still don't understand, the curves are there. Do you want additional Gaussians?
– marmot
4 hours ago
ok curves might be the wrong word in this context. i mean sample realizations so those grey lines in the above diagram. also is it possible to detach the y-axis of the subplot and make it bold and move it in a little so it intersects the x-axis like in the diagram above?
– user171006
4 hours ago
1
@user171006 I added something. I guess one would first have to do some math to improve it.
– marmot
3 hours ago
 |Â
show 1 more comment
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
accepted
To increase the size of the plot, you just may adjust width and height. The second part of the question I don't understand. Indicating mean and variance is straightforward.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
pgfmathsetmacrooffset0.05
begintikzpicture[font=sffamily,
declare function=gauss(x,y,z)=offset+1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]
beginaxis[samples=101,smooth,hide axis,width=20cm,height=11cm]
addplot [domain=-3:3] (gauss(x,0.8,0),x);
addplot [domain=-3:3] (1+gauss(x,1.2,0),1+x);
addplot [domain=-3:3] (2+gauss(x,0.6,0),x);
foreach [count=Y starting from 0] vari/DeltaX in 0.8/0,1.2/1,0.6/0
typeoutvari/DeltaX
edeftempnoexpanddraw[gray] (Y+offset,vari+DeltaX) -- (Y+gauss(vari,vari,0),vari+DeltaX)
(Y+offset,-vari+DeltaX) -- (Y+gauss(vari,vari,0),-vari+DeltaX)
(Y+offset,DeltaX) -- (Y+gauss(0,vari,0),DeltaX)
;
temp
draw[-latex] (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1)
node[below right,rotate=-90]$x(t_i)$;
draw[-latex] (0,-3) -- (0.5,-3) node[below left,rotate=-90]$fbigl(x(t_i)bigr)$;
draw (1,-2) -- (1,4) coordinate[pos=0.6](x2) coordinate[pos=0.5] (y2);
draw (2,-3) -- (2,3) coordinate[pos=0.6](x3) coordinate[pos=0.5] (y3);
addplot[-latex] coordinates(-0.5,-4) (3,-4);
path (0,-4) coordinate (z1) (1,-4) coordinate (z2) (2,-4) coordinate (z3);
coordinate (t) at (3,-4.1);
coordinate (xi) at (-0.6,4);
addplot[-latex] coordinates(-0.5,-4) (3,-4);
addplot[-latex] coordinates(-0.5,-4) (-0.5,4);
endaxis
foreach X in 1,2,3
fill (xX) circle (2pt);
draw ([xshift=-1mm]yX) -- ([xshift=1mm]yX);
draw ([yshift=1mm]zX) -- ([yshift=-1mm]zX) node[below] $X$;
node[anchor=north east] at (t) time;
node[anchor=north east] at (xi) $x(t)$;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument
Alternative you may just decrease the size of the font.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
pgfmathsetmacrooffset0.05
begintikzpicture[font=sffamilysmall,
declare function=gauss(x,y,z)=offset+1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]
beginaxis[samples=101,smooth,hide axis,width=15cm,height=8cm]
addplot [domain=-3:3] (gauss(x,0.8,0),x);
addplot [domain=-3:3] (1+gauss(x,1.2,0),1+x);
addplot [domain=-3:3] (2+gauss(x,0.6,0),x);
foreach [count=Y starting from 0] vari/DeltaX in 0.8/0,1.2/1,0.6/0
edeftempnoexpanddraw[gray] (Y+offset,vari+DeltaX) -- (Y+gauss(vari,vari,0),vari+DeltaX)
(Y+offset,-vari+DeltaX) -- (Y+gauss(vari,vari,0),-vari+DeltaX)
(Y+offset,DeltaX) -- (Y+gauss(0,vari,0),DeltaX)
;
temp
beginscope[thick]
draw[-latex] (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1)
node[below right,rotate=-90]$x(t_i)$;
draw[-latex] (0,-3) -- (0.5,-3) node[below left,rotate=-90]$fbigl(x(t_i)bigr)$;
draw[-latex] (1,-2) -- (1,4) coordinate[pos=0.6](x2) coordinate[pos=0.5] (y2);
draw[dashed] (0,-3) -- (0,-3.5);
draw[-latex] (2,-3) -- (2,3) coordinate[pos=0.6](x3) coordinate[pos=0.5] (y3);
draw[dashed] (1,-2) -- (1,-3.5);
path (0,-4) coordinate (z1) (1,-4) coordinate (z2) (2,-4) coordinate (z3);
draw[dashed] (2,-3) -- (2,-3.5);
coordinate (t) at (3,-4.1);
coordinate (xi) at (-0.6,4);
addplot[-latex] coordinates(-0.5,-3.5) (3,-3.5);
addplot[-latex] coordinates(-0.5,-3.5) (-0.5,3.5);
endscope
pgfplotsinvokeforeach1,...,20
draw[very thin] plot[smooth] coordinates
(0,sign(2*rand-1)*(exp(-rand/0.8)-1))
(1,1+sign(2*rand-1)*(exp(-rand/1.6)-1))
(2,sign(2*rand-1)*(exp(-rand/1.2)-1));
endaxis
foreach X in 1,2,3
fill (xX) circle (2pt);
draw ([xshift=-1mm]yX) -- ([xshift=1mm]yX);
draw ([yshift=1mm]zX) -- ([yshift=-1mm]zX) node[below] $X$;
node[anchor=north east] at (t) time;
node[anchor=north east] at (xi) $x(t)$;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument
answered 4 hours ago
marmot
64.9k471139
those lines to indicate mean/variance are nice thank you marmot youre awesome !
– user171006
4 hours ago
what i meant is would it be possible to add curves like in the diagram above that vary around the mean?
– user171006
4 hours ago
1
@user171006 I still don't understand, the curves are there. Do you want additional Gaussians?
– marmot
4 hours ago
ok curves might be the wrong word in this context. i mean sample realizations so those grey lines in the above diagram. also is it possible to detach the y-axis of the subplot and make it bold and move it in a little so it intersects the x-axis like in the diagram above?
– user171006
4 hours ago
1
@user171006 I added something. I guess one would first have to do some math to improve it.
– marmot
3 hours ago
 |Â
show 1 more comment
up vote
3
down vote
accepted
To increase the size of the plot, you just may adjust width and height. The second part of the question I don't understand. Indicating mean and variance is straightforward.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
pgfmathsetmacrooffset0.05
begintikzpicture[font=sffamily,
declare function=gauss(x,y,z)=offset+1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]
beginaxis[samples=101,smooth,hide axis,width=20cm,height=11cm]
addplot [domain=-3:3] (gauss(x,0.8,0),x);
addplot [domain=-3:3] (1+gauss(x,1.2,0),1+x);
addplot [domain=-3:3] (2+gauss(x,0.6,0),x);
foreach [count=Y starting from 0] vari/DeltaX in 0.8/0,1.2/1,0.6/0
typeoutvari/DeltaX
edeftempnoexpanddraw[gray] (Y+offset,vari+DeltaX) -- (Y+gauss(vari,vari,0),vari+DeltaX)
(Y+offset,-vari+DeltaX) -- (Y+gauss(vari,vari,0),-vari+DeltaX)
(Y+offset,DeltaX) -- (Y+gauss(0,vari,0),DeltaX)
;
temp
draw[-latex] (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1)
node[below right,rotate=-90]$x(t_i)$;
draw[-latex] (0,-3) -- (0.5,-3) node[below left,rotate=-90]$fbigl(x(t_i)bigr)$;
draw (1,-2) -- (1,4) coordinate[pos=0.6](x2) coordinate[pos=0.5] (y2);
draw (2,-3) -- (2,3) coordinate[pos=0.6](x3) coordinate[pos=0.5] (y3);
addplot[-latex] coordinates(-0.5,-4) (3,-4);
path (0,-4) coordinate (z1) (1,-4) coordinate (z2) (2,-4) coordinate (z3);
coordinate (t) at (3,-4.1);
coordinate (xi) at (-0.6,4);
addplot[-latex] coordinates(-0.5,-4) (3,-4);
addplot[-latex] coordinates(-0.5,-4) (-0.5,4);
endaxis
foreach X in 1,2,3
fill (xX) circle (2pt);
draw ([xshift=-1mm]yX) -- ([xshift=1mm]yX);
draw ([yshift=1mm]zX) -- ([yshift=-1mm]zX) node[below] $X$;
node[anchor=north east] at (t) time;
node[anchor=north east] at (xi) $x(t)$;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument
Alternative you may just decrease the size of the font.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
pgfmathsetmacrooffset0.05
begintikzpicture[font=sffamilysmall,
declare function=gauss(x,y,z)=offset+1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]
beginaxis[samples=101,smooth,hide axis,width=15cm,height=8cm]
addplot [domain=-3:3] (gauss(x,0.8,0),x);
addplot [domain=-3:3] (1+gauss(x,1.2,0),1+x);
addplot [domain=-3:3] (2+gauss(x,0.6,0),x);
foreach [count=Y starting from 0] vari/DeltaX in 0.8/0,1.2/1,0.6/0
edeftempnoexpanddraw[gray] (Y+offset,vari+DeltaX) -- (Y+gauss(vari,vari,0),vari+DeltaX)
(Y+offset,-vari+DeltaX) -- (Y+gauss(vari,vari,0),-vari+DeltaX)
(Y+offset,DeltaX) -- (Y+gauss(0,vari,0),DeltaX)
;
temp
beginscope[thick]
draw[-latex] (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1)
node[below right,rotate=-90]$x(t_i)$;
draw[-latex] (0,-3) -- (0.5,-3) node[below left,rotate=-90]$fbigl(x(t_i)bigr)$;
draw[-latex] (1,-2) -- (1,4) coordinate[pos=0.6](x2) coordinate[pos=0.5] (y2);
draw[dashed] (0,-3) -- (0,-3.5);
draw[-latex] (2,-3) -- (2,3) coordinate[pos=0.6](x3) coordinate[pos=0.5] (y3);
draw[dashed] (1,-2) -- (1,-3.5);
path (0,-4) coordinate (z1) (1,-4) coordinate (z2) (2,-4) coordinate (z3);
draw[dashed] (2,-3) -- (2,-3.5);
coordinate (t) at (3,-4.1);
coordinate (xi) at (-0.6,4);
addplot[-latex] coordinates(-0.5,-3.5) (3,-3.5);
addplot[-latex] coordinates(-0.5,-3.5) (-0.5,3.5);
endscope
pgfplotsinvokeforeach1,...,20
draw[very thin] plot[smooth] coordinates
(0,sign(2*rand-1)*(exp(-rand/0.8)-1))
(1,1+sign(2*rand-1)*(exp(-rand/1.6)-1))
(2,sign(2*rand-1)*(exp(-rand/1.2)-1));
endaxis
foreach X in 1,2,3
fill (xX) circle (2pt);
draw ([xshift=-1mm]yX) -- ([xshift=1mm]yX);
draw ([yshift=1mm]zX) -- ([yshift=-1mm]zX) node[below] $X$;
node[anchor=north east] at (t) time;
node[anchor=north east] at (xi) $x(t)$;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument
answered 4 hours ago
marmot
64.9k471139
those lines to indicate mean/variance are nice thank you marmot youre awesome !
– user171006
4 hours ago
what i meant is would it be possible to add curves like in the diagram above that vary around the mean?
– user171006
4 hours ago
1
@user171006 I still don't understand, the curves are there. Do you want additional Gaussians?
– marmot
4 hours ago
ok curves might be the wrong word in this context. i mean sample realizations so those grey lines in the above diagram. also is it possible to detach the y-axis of the subplot and make it bold and move it in a little so it intersects the x-axis like in the diagram above?
– user171006
4 hours ago
1
@user171006 I added something. I guess one would first have to do some math to improve it.
– marmot
3 hours ago
 |Â
show 1 more comment
up vote
3
down vote
accepted
up vote
3
down vote
accepted
To increase the size of the plot, you just may adjust width and height. The second part of the question I don't understand. Indicating mean and variance is straightforward.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
pgfmathsetmacrooffset0.05
begintikzpicture[font=sffamily,
declare function=gauss(x,y,z)=offset+1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]
beginaxis[samples=101,smooth,hide axis,width=20cm,height=11cm]
addplot [domain=-3:3] (gauss(x,0.8,0),x);
addplot [domain=-3:3] (1+gauss(x,1.2,0),1+x);
addplot [domain=-3:3] (2+gauss(x,0.6,0),x);
foreach [count=Y starting from 0] vari/DeltaX in 0.8/0,1.2/1,0.6/0
typeoutvari/DeltaX
edeftempnoexpanddraw[gray] (Y+offset,vari+DeltaX) -- (Y+gauss(vari,vari,0),vari+DeltaX)
(Y+offset,-vari+DeltaX) -- (Y+gauss(vari,vari,0),-vari+DeltaX)
(Y+offset,DeltaX) -- (Y+gauss(0,vari,0),DeltaX)
;
temp
draw[-latex] (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1)
node[below right,rotate=-90]$x(t_i)$;
draw[-latex] (0,-3) -- (0.5,-3) node[below left,rotate=-90]$fbigl(x(t_i)bigr)$;
draw (1,-2) -- (1,4) coordinate[pos=0.6](x2) coordinate[pos=0.5] (y2);
draw (2,-3) -- (2,3) coordinate[pos=0.6](x3) coordinate[pos=0.5] (y3);
addplot[-latex] coordinates(-0.5,-4) (3,-4);
path (0,-4) coordinate (z1) (1,-4) coordinate (z2) (2,-4) coordinate (z3);
coordinate (t) at (3,-4.1);
coordinate (xi) at (-0.6,4);
addplot[-latex] coordinates(-0.5,-4) (3,-4);
addplot[-latex] coordinates(-0.5,-4) (-0.5,4);
endaxis
foreach X in 1,2,3
fill (xX) circle (2pt);
draw ([xshift=-1mm]yX) -- ([xshift=1mm]yX);
draw ([yshift=1mm]zX) -- ([yshift=-1mm]zX) node[below] $X$;
node[anchor=north east] at (t) time;
node[anchor=north east] at (xi) $x(t)$;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument
Alternative you may just decrease the size of the font.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
pgfmathsetmacrooffset0.05
begintikzpicture[font=sffamilysmall,
declare function=gauss(x,y,z)=offset+1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]
beginaxis[samples=101,smooth,hide axis,width=15cm,height=8cm]
addplot [domain=-3:3] (gauss(x,0.8,0),x);
addplot [domain=-3:3] (1+gauss(x,1.2,0),1+x);
addplot [domain=-3:3] (2+gauss(x,0.6,0),x);
foreach [count=Y starting from 0] vari/DeltaX in 0.8/0,1.2/1,0.6/0
edeftempnoexpanddraw[gray] (Y+offset,vari+DeltaX) -- (Y+gauss(vari,vari,0),vari+DeltaX)
(Y+offset,-vari+DeltaX) -- (Y+gauss(vari,vari,0),-vari+DeltaX)
(Y+offset,DeltaX) -- (Y+gauss(0,vari,0),DeltaX)
;
temp
beginscope[thick]
draw[-latex] (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1)
node[below right,rotate=-90]$x(t_i)$;
draw[-latex] (0,-3) -- (0.5,-3) node[below left,rotate=-90]$fbigl(x(t_i)bigr)$;
draw[-latex] (1,-2) -- (1,4) coordinate[pos=0.6](x2) coordinate[pos=0.5] (y2);
draw[dashed] (0,-3) -- (0,-3.5);
draw[-latex] (2,-3) -- (2,3) coordinate[pos=0.6](x3) coordinate[pos=0.5] (y3);
draw[dashed] (1,-2) -- (1,-3.5);
path (0,-4) coordinate (z1) (1,-4) coordinate (z2) (2,-4) coordinate (z3);
draw[dashed] (2,-3) -- (2,-3.5);
coordinate (t) at (3,-4.1);
coordinate (xi) at (-0.6,4);
addplot[-latex] coordinates(-0.5,-3.5) (3,-3.5);
addplot[-latex] coordinates(-0.5,-3.5) (-0.5,3.5);
endscope
pgfplotsinvokeforeach1,...,20
draw[very thin] plot[smooth] coordinates
(0,sign(2*rand-1)*(exp(-rand/0.8)-1))
(1,1+sign(2*rand-1)*(exp(-rand/1.6)-1))
(2,sign(2*rand-1)*(exp(-rand/1.2)-1));
endaxis
foreach X in 1,2,3
fill (xX) circle (2pt);
draw ([xshift=-1mm]yX) -- ([xshift=1mm]yX);
draw ([yshift=1mm]zX) -- ([yshift=-1mm]zX) node[below] $X$;
node[anchor=north east] at (t) time;
node[anchor=north east] at (xi) $x(t)$;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument
answered 4 hours ago
marmot
64.9k471139
To increase the size of the plot, you just may adjust width and height. The second part of the question I don't understand. Indicating mean and variance is straightforward.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
pgfmathsetmacrooffset0.05
begintikzpicture[font=sffamily,
declare function=gauss(x,y,z)=offset+1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]
beginaxis[samples=101,smooth,hide axis,width=20cm,height=11cm]
addplot [domain=-3:3] (gauss(x,0.8,0),x);
addplot [domain=-3:3] (1+gauss(x,1.2,0),1+x);
addplot [domain=-3:3] (2+gauss(x,0.6,0),x);
foreach [count=Y starting from 0] vari/DeltaX in 0.8/0,1.2/1,0.6/0
typeoutvari/DeltaX
edeftempnoexpanddraw[gray] (Y+offset,vari+DeltaX) -- (Y+gauss(vari,vari,0),vari+DeltaX)
(Y+offset,-vari+DeltaX) -- (Y+gauss(vari,vari,0),-vari+DeltaX)
(Y+offset,DeltaX) -- (Y+gauss(0,vari,0),DeltaX)
;
temp
draw[-latex] (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1)
node[below right,rotate=-90]$x(t_i)$;
draw[-latex] (0,-3) -- (0.5,-3) node[below left,rotate=-90]$fbigl(x(t_i)bigr)$;
draw (1,-2) -- (1,4) coordinate[pos=0.6](x2) coordinate[pos=0.5] (y2);
draw (2,-3) -- (2,3) coordinate[pos=0.6](x3) coordinate[pos=0.5] (y3);
addplot[-latex] coordinates(-0.5,-4) (3,-4);
path (0,-4) coordinate (z1) (1,-4) coordinate (z2) (2,-4) coordinate (z3);
coordinate (t) at (3,-4.1);
coordinate (xi) at (-0.6,4);
addplot[-latex] coordinates(-0.5,-4) (3,-4);
addplot[-latex] coordinates(-0.5,-4) (-0.5,4);
endaxis
foreach X in 1,2,3
fill (xX) circle (2pt);
draw ([xshift=-1mm]yX) -- ([xshift=1mm]yX);
draw ([yshift=1mm]zX) -- ([yshift=-1mm]zX) node[below] $X$;
node[anchor=north east] at (t) time;
node[anchor=north east] at (xi) $x(t)$;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument
Alternative you may just decrease the size of the font.
documentclass[tikz,border=3.14mm]standalone
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
pgfmathsetmacrooffset0.05
begintikzpicture[font=sffamilysmall,
declare function=gauss(x,y,z)=offset+1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]
beginaxis[samples=101,smooth,hide axis,width=15cm,height=8cm]
addplot [domain=-3:3] (gauss(x,0.8,0),x);
addplot [domain=-3:3] (1+gauss(x,1.2,0),1+x);
addplot [domain=-3:3] (2+gauss(x,0.6,0),x);
foreach [count=Y starting from 0] vari/DeltaX in 0.8/0,1.2/1,0.6/0
edeftempnoexpanddraw[gray] (Y+offset,vari+DeltaX) -- (Y+gauss(vari,vari,0),vari+DeltaX)
(Y+offset,-vari+DeltaX) -- (Y+gauss(vari,vari,0),-vari+DeltaX)
(Y+offset,DeltaX) -- (Y+gauss(0,vari,0),DeltaX)
;
temp
beginscope[thick]
draw[-latex] (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1)
node[below right,rotate=-90]$x(t_i)$;
draw[-latex] (0,-3) -- (0.5,-3) node[below left,rotate=-90]$fbigl(x(t_i)bigr)$;
draw[-latex] (1,-2) -- (1,4) coordinate[pos=0.6](x2) coordinate[pos=0.5] (y2);
draw[dashed] (0,-3) -- (0,-3.5);
draw[-latex] (2,-3) -- (2,3) coordinate[pos=0.6](x3) coordinate[pos=0.5] (y3);
draw[dashed] (1,-2) -- (1,-3.5);
path (0,-4) coordinate (z1) (1,-4) coordinate (z2) (2,-4) coordinate (z3);
draw[dashed] (2,-3) -- (2,-3.5);
coordinate (t) at (3,-4.1);
coordinate (xi) at (-0.6,4);
addplot[-latex] coordinates(-0.5,-3.5) (3,-3.5);
addplot[-latex] coordinates(-0.5,-3.5) (-0.5,3.5);
endscope
pgfplotsinvokeforeach1,...,20
draw[very thin] plot[smooth] coordinates
(0,sign(2*rand-1)*(exp(-rand/0.8)-1))
(1,1+sign(2*rand-1)*(exp(-rand/1.6)-1))
(2,sign(2*rand-1)*(exp(-rand/1.2)-1));
endaxis
foreach X in 1,2,3
fill (xX) circle (2pt);
draw ([xshift=-1mm]yX) -- ([xshift=1mm]yX);
draw ([yshift=1mm]zX) -- ([yshift=-1mm]zX) node[below] $X$;
node[anchor=north east] at (t) time;
node[anchor=north east] at (xi) $x(t)$;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument
answered 4 hours ago
marmot
64.9k471139
edited 3 hours ago
answered 4 hours ago
marmot
64.9k471139
answered 4 hours ago
marmot
64.9k471139
answered 4 hours ago
marmot
64.9k471139
64.9k471139
those lines to indicate mean/variance are nice thank you marmot youre awesome !
– user171006
4 hours ago
what i meant is would it be possible to add curves like in the diagram above that vary around the mean?
– user171006
4 hours ago
1
@user171006 I still don't understand, the curves are there. Do you want additional Gaussians?
– marmot
4 hours ago
ok curves might be the wrong word in this context. i mean sample realizations so those grey lines in the above diagram. also is it possible to detach the y-axis of the subplot and make it bold and move it in a little so it intersects the x-axis like in the diagram above?
– user171006
4 hours ago
1
@user171006 I added something. I guess one would first have to do some math to improve it.
– marmot
3 hours ago
 |Â
show 1 more comment
those lines to indicate mean/variance are nice thank you marmot youre awesome !
– user171006
4 hours ago
what i meant is would it be possible to add curves like in the diagram above that vary around the mean?
– user171006
4 hours ago
1
@user171006 I still don't understand, the curves are there. Do you want additional Gaussians?
– marmot
4 hours ago
ok curves might be the wrong word in this context. i mean sample realizations so those grey lines in the above diagram. also is it possible to detach the y-axis of the subplot and make it bold and move it in a little so it intersects the x-axis like in the diagram above?
– user171006
4 hours ago
1
@user171006 I added something. I guess one would first have to do some math to improve it.
– marmot
3 hours ago
those lines to indicate mean/variance are nice thank you marmot youre awesome !
– user171006
4 hours ago
those lines to indicate mean/variance are nice thank you marmot youre awesome !
– user171006
4 hours ago
what i meant is would it be possible to add curves like in the diagram above that vary around the mean?
– user171006
4 hours ago
what i meant is would it be possible to add curves like in the diagram above that vary around the mean?
– user171006
4 hours ago
1
1
@user171006 I still don't understand, the curves are there. Do you want additional Gaussians?
– marmot
4 hours ago
@user171006 I still don't understand, the curves are there. Do you want additional Gaussians?
– marmot
4 hours ago
ok curves might be the wrong word in this context. i mean sample realizations so those grey lines in the above diagram. also is it possible to detach the y-axis of the subplot and make it bold and move it in a little so it intersects the x-axis like in the diagram above?
– user171006
4 hours ago
ok curves might be the wrong word in this context. i mean sample realizations so those grey lines in the above diagram. also is it possible to detach the y-axis of the subplot and make it bold and move it in a little so it intersects the x-axis like in the diagram above?
– user171006
4 hours ago
1
1
@user171006 I added something. I guess one would first have to do some math to improve it.
– marmot
3 hours ago
@user171006 I added something. I guess one would first have to do some math to improve it.
– marmot
3 hours ago
 |Â
show 1 more comment
Â
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