Rotated Normal Distribution

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1
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I`m trying to create a rotated normal distribution similar to this:
enter image description here

but I'm stuck at trying to separate the curves from each other; this is what I have so far. Would really appreciate any help.

documentclassarticle
usepackagepgfplots
usepackagemathtools,amssymb
usepackagetikz
usepackagexcolor
pgfplotssetcompat=1.7
begindocument
pgfmathdeclarefunctiongauss2pgfmathparse1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))%

begintikzpicture

beginaxis[anchor=origin, % Shift the axis so its origin is at (0,0)
rotate around=-90:(current axis.origin), % Rotate around the origin
no markers, domain=0:10, samples=100,
axis x line*=bottom, 
axis lines=none, % Axis lines going through the origin
height=5cm, width=5cm, ytick=empty, xtick=0,
enlargelimits=false, clip=false, axis on top,
grid = major]
addplot [domain=-3:3] gauss(0,1);
endaxis

beginaxis[anchor=(0,10), % Shift the axis so its origin is at (0,0)
rotate around=-90:(current axis.origin), % Rotate around the origin
no markers, domain=0:10, samples=100,
axis x line*=bottom, 
axis lines=none, % Axis lines going through the origin
height=5cm, width=5cm, ytick=empty, xtick=0,
enlargelimits=false, clip=false, axis on top,
grid = major]
addplot [domain=-3:3] gauss(0,1);
endaxis

draw (-2,-6) -- (9,-6);

endtikzpicture
enddocument

asked 2 hours ago

user171006

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up vote
1
down vote

favorite

I`m trying to create a rotated normal distribution similar to this:
enter image description here

but I'm stuck at trying to separate the curves from each other; this is what I have so far. Would really appreciate any help.

documentclassarticle
usepackagepgfplots
usepackagemathtools,amssymb
usepackagetikz
usepackagexcolor
pgfplotssetcompat=1.7
begindocument
pgfmathdeclarefunctiongauss2pgfmathparse1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))%

begintikzpicture

beginaxis[anchor=origin, % Shift the axis so its origin is at (0,0)
rotate around=-90:(current axis.origin), % Rotate around the origin
no markers, domain=0:10, samples=100,
axis x line*=bottom, 
axis lines=none, % Axis lines going through the origin
height=5cm, width=5cm, ytick=empty, xtick=0,
enlargelimits=false, clip=false, axis on top,
grid = major]
addplot [domain=-3:3] gauss(0,1);
endaxis

beginaxis[anchor=(0,10), % Shift the axis so its origin is at (0,0)
rotate around=-90:(current axis.origin), % Rotate around the origin
no markers, domain=0:10, samples=100,
axis x line*=bottom, 
axis lines=none, % Axis lines going through the origin
height=5cm, width=5cm, ytick=empty, xtick=0,
enlargelimits=false, clip=false, axis on top,
grid = major]
addplot [domain=-3:3] gauss(0,1);
endaxis

draw (-2,-6) -- (9,-6);

endtikzpicture
enddocument

asked 2 hours ago

user171006

New contributor

add a commentÂ |Â

up vote
1
down vote

favorite

I`m trying to create a rotated normal distribution similar to this:
enter image description here

but I'm stuck at trying to separate the curves from each other; this is what I have so far. Would really appreciate any help.

documentclassarticle
usepackagepgfplots
usepackagemathtools,amssymb
usepackagetikz
usepackagexcolor
pgfplotssetcompat=1.7
begindocument
pgfmathdeclarefunctiongauss2pgfmathparse1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))%

begintikzpicture

beginaxis[anchor=origin, % Shift the axis so its origin is at (0,0)
rotate around=-90:(current axis.origin), % Rotate around the origin
no markers, domain=0:10, samples=100,
axis x line*=bottom, 
axis lines=none, % Axis lines going through the origin
height=5cm, width=5cm, ytick=empty, xtick=0,
enlargelimits=false, clip=false, axis on top,
grid = major]
addplot [domain=-3:3] gauss(0,1);
endaxis

beginaxis[anchor=(0,10), % Shift the axis so its origin is at (0,0)
rotate around=-90:(current axis.origin), % Rotate around the origin
no markers, domain=0:10, samples=100,
axis x line*=bottom, 
axis lines=none, % Axis lines going through the origin
height=5cm, width=5cm, ytick=empty, xtick=0,
enlargelimits=false, clip=false, axis on top,
grid = major]
addplot [domain=-3:3] gauss(0,1);
endaxis

draw (-2,-6) -- (9,-6);

endtikzpicture
enddocument

asked 2 hours ago

user171006

New contributor

I`m trying to create a rotated normal distribution similar to this:
enter image description here

but I'm stuck at trying to separate the curves from each other; this is what I have so far. Would really appreciate any help.

documentclassarticle
usepackagepgfplots
usepackagemathtools,amssymb
usepackagetikz
usepackagexcolor
pgfplotssetcompat=1.7
begindocument
pgfmathdeclarefunctiongauss2pgfmathparse1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))%

begintikzpicture

beginaxis[anchor=origin, % Shift the axis so its origin is at (0,0)
rotate around=-90:(current axis.origin), % Rotate around the origin
no markers, domain=0:10, samples=100,
axis x line*=bottom, 
axis lines=none, % Axis lines going through the origin
height=5cm, width=5cm, ytick=empty, xtick=0,
enlargelimits=false, clip=false, axis on top,
grid = major]
addplot [domain=-3:3] gauss(0,1);
endaxis

beginaxis[anchor=(0,10), % Shift the axis so its origin is at (0,0)
rotate around=-90:(current axis.origin), % Rotate around the origin
no markers, domain=0:10, samples=100,
axis x line*=bottom, 
axis lines=none, % Axis lines going through the origin
height=5cm, width=5cm, ytick=empty, xtick=0,
enlargelimits=false, clip=false, axis on top,
grid = major]
addplot [domain=-3:3] gauss(0,1);
endaxis

draw (-2,-6) -- (9,-6);

endtikzpicture
enddocument

tikz-pgf pgfplots

asked 2 hours ago

user171006

New contributor

asked 2 hours ago

user171006

New contributor

asked 2 hours ago

user171006

New contributor

asked 2 hours ago

user171006

asked 2 hours ago

user171006

New contributor

user171006 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

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up vote
4
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Welcome to TeX.SE! Are you looking for something like this?

documentclassarticle
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[font=sffamily,
declare function=gauss(x,y,z)=1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]

beginaxis[samples=101,smooth,hide axis,width=12cm]
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);

draw (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1);
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);
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;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument

enter image description here

Comments:

Is there any reason you want to use version 1.7? If so, one may have to slightly modify the syntax by adding axis cs: to some coordinates.

I modified the way the Gaussian function is declared to a syntax that is arguably a bit easier to deal with.

The main point, though, is that instead of rotating the axis I just use parametric plots. In my opinion this makes things simpler. If you insist on rotating axis environments, this can also be done, however then one faces usually the problem that the interpretations of above etc. become a bit unintuitive.

As you see, I do most of the things with TikZ "only". In principle one could do this without pgfplots, but the price one may have to pay is that things like changing the size of the plot will become a tiny bit more complicated.

I kicked out packages that were not needed here. (Note that pgfplots loads TikZ.)

edited 1 hour ago

answered 1 hour ago

marmot

59.6k463128

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1 Answer
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active

oldest

votes

up vote
4
down vote

Welcome to TeX.SE! Are you looking for something like this?

documentclassarticle
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[font=sffamily,
declare function=gauss(x,y,z)=1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]

beginaxis[samples=101,smooth,hide axis,width=12cm]
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);

draw (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1);
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);
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;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument

enter image description here

Comments:

Is there any reason you want to use version 1.7? If so, one may have to slightly modify the syntax by adding axis cs: to some coordinates.

I modified the way the Gaussian function is declared to a syntax that is arguably a bit easier to deal with.

The main point, though, is that instead of rotating the axis I just use parametric plots. In my opinion this makes things simpler. If you insist on rotating axis environments, this can also be done, however then one faces usually the problem that the interpretations of above etc. become a bit unintuitive.

As you see, I do most of the things with TikZ "only". In principle one could do this without pgfplots, but the price one may have to pay is that things like changing the size of the plot will become a tiny bit more complicated.

I kicked out packages that were not needed here. (Note that pgfplots loads TikZ.)

edited 1 hour ago

answered 1 hour ago

marmot

59.6k463128

add a commentÂ |Â

up vote
4
down vote

Welcome to TeX.SE! Are you looking for something like this?

documentclassarticle
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[font=sffamily,
declare function=gauss(x,y,z)=1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]

beginaxis[samples=101,smooth,hide axis,width=12cm]
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);

draw (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1);
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);
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;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument

enter image description here

Comments:

Is there any reason you want to use version 1.7? If so, one may have to slightly modify the syntax by adding axis cs: to some coordinates.

I modified the way the Gaussian function is declared to a syntax that is arguably a bit easier to deal with.

The main point, though, is that instead of rotating the axis I just use parametric plots. In my opinion this makes things simpler. If you insist on rotating axis environments, this can also be done, however then one faces usually the problem that the interpretations of above etc. become a bit unintuitive.

As you see, I do most of the things with TikZ "only". In principle one could do this without pgfplots, but the price one may have to pay is that things like changing the size of the plot will become a tiny bit more complicated.

I kicked out packages that were not needed here. (Note that pgfplots loads TikZ.)

edited 1 hour ago

answered 1 hour ago

marmot

59.6k463128

add a commentÂ |Â

up vote
4
down vote

Welcome to TeX.SE! Are you looking for something like this?

documentclassarticle
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[font=sffamily,
declare function=gauss(x,y,z)=1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]

beginaxis[samples=101,smooth,hide axis,width=12cm]
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);

draw (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1);
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);
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;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument

enter image description here

Comments:

Is there any reason you want to use version 1.7? If so, one may have to slightly modify the syntax by adding axis cs: to some coordinates.

I modified the way the Gaussian function is declared to a syntax that is arguably a bit easier to deal with.

The main point, though, is that instead of rotating the axis I just use parametric plots. In my opinion this makes things simpler. If you insist on rotating axis environments, this can also be done, however then one faces usually the problem that the interpretations of above etc. become a bit unintuitive.

As you see, I do most of the things with TikZ "only". In principle one could do this without pgfplots, but the price one may have to pay is that things like changing the size of the plot will become a tiny bit more complicated.

I kicked out packages that were not needed here. (Note that pgfplots loads TikZ.)

edited 1 hour ago

answered 1 hour ago

marmot

59.6k463128

Welcome to TeX.SE! Are you looking for something like this?

documentclassarticle
usepackagepgfplots
pgfplotssetcompat=1.16
begindocument
begintikzpicture[font=sffamily,
declare function=gauss(x,y,z)=1/(y*sqrt(2*pi))*exp(-((x-z)^2)/(2*y^2));]

beginaxis[samples=101,smooth,hide axis,width=12cm]
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);

draw (0,-3) -- (0,3) coordinate[pos=0.4](x1) coordinate[pos=0.5] (y1);
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);
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;
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x1) -- (x2);
draw[blue,thick,shorten >=2mm,shorten <=2mm] (x2) -- (x3);
endtikzpicture
enddocument

enter image description here

Comments:

Is there any reason you want to use version 1.7? If so, one may have to slightly modify the syntax by adding axis cs: to some coordinates.

I modified the way the Gaussian function is declared to a syntax that is arguably a bit easier to deal with.

The main point, though, is that instead of rotating the axis I just use parametric plots. In my opinion this makes things simpler. If you insist on rotating axis environments, this can also be done, however then one faces usually the problem that the interpretations of above etc. become a bit unintuitive.

As you see, I do most of the things with TikZ "only". In principle one could do this without pgfplots, but the price one may have to pay is that things like changing the size of the plot will become a tiny bit more complicated.

I kicked out packages that were not needed here. (Note that pgfplots loads TikZ.)

edited 1 hour ago

answered 1 hour ago

marmot

59.6k463128

edited 1 hour ago

answered 1 hour ago

marmot

59.6k463128

answered 1 hour ago

marmot

59.6k463128

answered 1 hour ago

marmot

59.6k463128

add a commentÂ |Â

user171006 is a new contributor. Be nice, and check out our Code of Conduct.

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