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How do I define and plot a function involving random variable?
Clash Royale CLAN TAG#URR8PPP
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I am struggling to define and and plot the following function:
$qquad sin(x) + 0.15,u$
where u is a uniform random variable in the range [-1, 1].
How can I define such a function and then plot it for $x$ over the range [0, 500]?
graphics function-construction probability-or-statistics
edited 16 mins ago
m_goldberg
83.7k870193
asked 1 hour ago
strange world
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up vote
1
down vote
favorite
I am struggling to define and and plot the following function:
$qquad sin(x) + 0.15,u$
where u is a uniform random variable in the range [-1, 1].
How can I define such a function and then plot it for $x$ over the range [0, 500]?
graphics function-construction probability-or-statistics
edited 16 mins ago
m_goldberg
83.7k870193
asked 1 hour ago
strange world
61
New contributor
strange world is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Take a look at UniformDistribution and TransformedDistribution. I think it may help you.
– Gustavo Delfino
1 hour ago
This is not really a well-defined problem. You are wanting to plot a realisation of a random process. Do you have one value ofufor all values ofx? Or do you have an independent value ofufor every real value ofx? If the latter, when you plot it (at any resolution) you will only see a vertical bar around the curve.
– mikado
10 mins ago
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
I am struggling to define and and plot the following function:
$qquad sin(x) + 0.15,u$
where u is a uniform random variable in the range [-1, 1].
How can I define such a function and then plot it for $x$ over the range [0, 500]?
graphics function-construction probability-or-statistics
edited 16 mins ago
m_goldberg
83.7k870193
asked 1 hour ago
strange world
61
New contributor
strange world is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I am struggling to define and and plot the following function:
$qquad sin(x) + 0.15,u$
where u is a uniform random variable in the range [-1, 1].
How can I define such a function and then plot it for $x$ over the range [0, 500]?
graphics function-construction probability-or-statistics
graphics function-construction probability-or-statistics
edited 16 mins ago
m_goldberg
83.7k870193
asked 1 hour ago
strange world
61
New contributor
strange world is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 16 mins ago
m_goldberg
83.7k870193
asked 1 hour ago
strange world
61
New contributor
strange world is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 16 mins ago
m_goldberg
83.7k870193
edited 16 mins ago
m_goldberg
83.7k870193
edited 16 mins ago
m_goldberg
83.7k870193
83.7k870193
asked 1 hour ago
strange world
61
New contributor
strange world is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
strange world
61
asked 1 hour ago
strange world
61
61
New contributor
strange world is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
strange world is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
strange world is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Take a look at UniformDistribution and TransformedDistribution. I think it may help you.
– Gustavo Delfino
1 hour ago
This is not really a well-defined problem. You are wanting to plot a realisation of a random process. Do you have one value ofufor all values ofx? Or do you have an independent value ofufor every real value ofx? If the latter, when you plot it (at any resolution) you will only see a vertical bar around the curve.
– mikado
10 mins ago
add a comment |Â
Take a look at UniformDistribution and TransformedDistribution. I think it may help you.
– Gustavo Delfino
1 hour ago
This is not really a well-defined problem. You are wanting to plot a realisation of a random process. Do you have one value ofufor all values ofx? Or do you have an independent value ofufor every real value ofx? If the latter, when you plot it (at any resolution) you will only see a vertical bar around the curve.
– mikado
10 mins ago
Take a look at UniformDistribution and TransformedDistribution. I think it may help you.
– Gustavo Delfino
1 hour ago
Take a look at UniformDistribution and TransformedDistribution. I think it may help you.
– Gustavo Delfino
1 hour ago
This is not really a well-defined problem. You are wanting to plot a realisation of a random process. Do you have one value of
u for all values of x? Or do you have an independent value of u for every real value of x? If the latter, when you plot it (at any resolution) you will only see a vertical bar around the curve.– mikado
10 mins ago
This is not really a well-defined problem. You are wanting to plot a realisation of a random process. Do you have one value of
u for all values of x? Or do you have an independent value of u for every real value of x? If the latter, when you plot it (at any resolution) you will only see a vertical bar around the curve.– mikado
10 mins ago
add a comment |Â
2 Answers
2
active
oldest
votes
up vote
3
down vote
You can define a function with randomness almost exactly like defining a regular (deterministic) function:
f[x_] := Sin[x] + 0.15*RandomVariate[UniformDistribution[-1, 1]];
Plot[f[x], x, 0, 10]
Between 0 and 500:
Plot[f[x], x, 0, 500]
answered 25 mins ago
bill s
52k375147
add a comment |Â
up vote
1
down vote
SeedRandom[0]
data = Table[x,
Sin[x] + 0.15*RandomVariate[UniformDistribution[-1, 1]], x, 0,
500, 0.25];
ListLinePlot[data, Frame -> True, ImageSize -> Large]
answered 1 hour ago
Bob Hanlon
56.8k23591
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
You can define a function with randomness almost exactly like defining a regular (deterministic) function:
f[x_] := Sin[x] + 0.15*RandomVariate[UniformDistribution[-1, 1]];
Plot[f[x], x, 0, 10]
Between 0 and 500:
Plot[f[x], x, 0, 500]
answered 25 mins ago
bill s
52k375147
add a comment |Â
up vote
3
down vote
You can define a function with randomness almost exactly like defining a regular (deterministic) function:
f[x_] := Sin[x] + 0.15*RandomVariate[UniformDistribution[-1, 1]];
Plot[f[x], x, 0, 10]
Between 0 and 500:
Plot[f[x], x, 0, 500]
answered 25 mins ago
bill s
52k375147
add a comment |Â
up vote
3
down vote
up vote
3
down vote
You can define a function with randomness almost exactly like defining a regular (deterministic) function:
f[x_] := Sin[x] + 0.15*RandomVariate[UniformDistribution[-1, 1]];
Plot[f[x], x, 0, 10]
Between 0 and 500:
Plot[f[x], x, 0, 500]
answered 25 mins ago
bill s
52k375147
You can define a function with randomness almost exactly like defining a regular (deterministic) function:
f[x_] := Sin[x] + 0.15*RandomVariate[UniformDistribution[-1, 1]];
Plot[f[x], x, 0, 10]
Between 0 and 500:
Plot[f[x], x, 0, 500]
answered 25 mins ago
bill s
52k375147
answered 25 mins ago
bill s
52k375147
answered 25 mins ago
bill s
52k375147
answered 25 mins ago
bill s
52k375147
52k375147
add a comment |Â
add a comment |Â
up vote
1
down vote
SeedRandom[0]
data = Table[x,
Sin[x] + 0.15*RandomVariate[UniformDistribution[-1, 1]], x, 0,
500, 0.25];
ListLinePlot[data, Frame -> True, ImageSize -> Large]
answered 1 hour ago
Bob Hanlon
56.8k23591
add a comment |Â
up vote
1
down vote
SeedRandom[0]
data = Table[x,
Sin[x] + 0.15*RandomVariate[UniformDistribution[-1, 1]], x, 0,
500, 0.25];
ListLinePlot[data, Frame -> True, ImageSize -> Large]
answered 1 hour ago
Bob Hanlon
56.8k23591
add a comment |Â
up vote
1
down vote
up vote
1
down vote
SeedRandom[0]
data = Table[x,
Sin[x] + 0.15*RandomVariate[UniformDistribution[-1, 1]], x, 0,
500, 0.25];
ListLinePlot[data, Frame -> True, ImageSize -> Large]
answered 1 hour ago
Bob Hanlon
56.8k23591
SeedRandom[0]
data = Table[x,
Sin[x] + 0.15*RandomVariate[UniformDistribution[-1, 1]], x, 0,
500, 0.25];
ListLinePlot[data, Frame -> True, ImageSize -> Large]
answered 1 hour ago
Bob Hanlon
56.8k23591
answered 1 hour ago
Bob Hanlon
56.8k23591
answered 1 hour ago
Bob Hanlon
56.8k23591
answered 1 hour ago
Bob Hanlon
56.8k23591
56.8k23591
add a comment |Â
add a comment |Â
strange world is a new contributor. Be nice, and check out our Code of Conduct.
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Take a look at UniformDistribution and TransformedDistribution. I think it may help you.
– Gustavo Delfino
1 hour ago
This is not really a well-defined problem. You are wanting to plot a realisation of a random process. Do you have one value of
ufor all values ofx? Or do you have an independent value ofufor every real value ofx? If the latter, when you plot it (at any resolution) you will only see a vertical bar around the curve.– mikado
10 mins ago