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Error/difference of sampling an element from a set
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Assume there is a set, $A_j=x_1, x_2,...,x_n$. What should be the error associated in selecting/choosing an element from $A_j$, given each element of $A_j$ has an equal probability ($1/n$) of getting selected?
Would average provide a good estimate?
e.g.,
$Error=|x'-(sum_i=1^nx_i)/n|$
The ultimate goal is to estimate the sample statistics (mean, variance) where, the sample is composed of $x'_1,x'_2,...,x'_k$ where $x'_i$ is drawn from $k$ number of sets $A_1,A_2,...,A_k$.
probability standard-deviation variance means
asked Jul 23 at 10:30
cuser
52
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up vote
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Assume there is a set, $A_j=x_1, x_2,...,x_n$. What should be the error associated in selecting/choosing an element from $A_j$, given each element of $A_j$ has an equal probability ($1/n$) of getting selected?
Would average provide a good estimate?
e.g.,
$Error=|x'-(sum_i=1^nx_i)/n|$
The ultimate goal is to estimate the sample statistics (mean, variance) where, the sample is composed of $x'_1,x'_2,...,x'_k$ where $x'_i$ is drawn from $k$ number of sets $A_1,A_2,...,A_k$.
probability standard-deviation variance means
asked Jul 23 at 10:30
cuser
52
Somewhat tautologically, if you are interested with deviation from the mean, then the deviation from the mean is a good estimate of that error. But as long as you don't specify what you mean by "the error" this question doesn't have an answer.
– Mees de Vries
Jul 23 at 10:43
@MeesdeVries I edited the question so that it gives more clarity on what I'm looking for. Please check.
– cuser
Jul 23 at 11:28
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up vote
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Assume there is a set, $A_j=x_1, x_2,...,x_n$. What should be the error associated in selecting/choosing an element from $A_j$, given each element of $A_j$ has an equal probability ($1/n$) of getting selected?
Would average provide a good estimate?
e.g.,
$Error=|x'-(sum_i=1^nx_i)/n|$
The ultimate goal is to estimate the sample statistics (mean, variance) where, the sample is composed of $x'_1,x'_2,...,x'_k$ where $x'_i$ is drawn from $k$ number of sets $A_1,A_2,...,A_k$.
probability standard-deviation variance means
asked Jul 23 at 10:30
cuser
52
Assume there is a set, $A_j=x_1, x_2,...,x_n$. What should be the error associated in selecting/choosing an element from $A_j$, given each element of $A_j$ has an equal probability ($1/n$) of getting selected?
Would average provide a good estimate?
e.g.,
$Error=|x'-(sum_i=1^nx_i)/n|$
The ultimate goal is to estimate the sample statistics (mean, variance) where, the sample is composed of $x'_1,x'_2,...,x'_k$ where $x'_i$ is drawn from $k$ number of sets $A_1,A_2,...,A_k$.
probability standard-deviation variance means
asked Jul 23 at 10:30
cuser
52
edited Jul 24 at 9:34
asked Jul 23 at 10:30
cuser
52
asked Jul 23 at 10:30
cuser
52
asked Jul 23 at 10:30
cuser
52
52
Somewhat tautologically, if you are interested with deviation from the mean, then the deviation from the mean is a good estimate of that error. But as long as you don't specify what you mean by "the error" this question doesn't have an answer.
– Mees de Vries
Jul 23 at 10:43
@MeesdeVries I edited the question so that it gives more clarity on what I'm looking for. Please check.
– cuser
Jul 23 at 11:28
add a comment |Â
Somewhat tautologically, if you are interested with deviation from the mean, then the deviation from the mean is a good estimate of that error. But as long as you don't specify what you mean by "the error" this question doesn't have an answer.
– Mees de Vries
Jul 23 at 10:43
@MeesdeVries I edited the question so that it gives more clarity on what I'm looking for. Please check.
– cuser
Jul 23 at 11:28
Somewhat tautologically, if you are interested with deviation from the mean, then the deviation from the mean is a good estimate of that error. But as long as you don't specify what you mean by "the error" this question doesn't have an answer.
– Mees de Vries
Jul 23 at 10:43
Somewhat tautologically, if you are interested with deviation from the mean, then the deviation from the mean is a good estimate of that error. But as long as you don't specify what you mean by "the error" this question doesn't have an answer.
– Mees de Vries
Jul 23 at 10:43
@MeesdeVries I edited the question so that it gives more clarity on what I'm looking for. Please check.
– cuser
Jul 23 at 11:28
@MeesdeVries I edited the question so that it gives more clarity on what I'm looking for. Please check.
– cuser
Jul 23 at 11:28
add a comment |Â
1 Answer
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You may want to look at the link. You may report both RMSE and MAE.
answered Jul 23 at 10:44
Waqas
4910
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
You may want to look at the link. You may report both RMSE and MAE.
answered Jul 23 at 10:44
Waqas
4910
add a comment |Â
up vote
0
down vote
You may want to look at the link. You may report both RMSE and MAE.
answered Jul 23 at 10:44
Waqas
4910
add a comment |Â
up vote
0
down vote
up vote
0
down vote
You may want to look at the link. You may report both RMSE and MAE.
answered Jul 23 at 10:44
Waqas
4910
You may want to look at the link. You may report both RMSE and MAE.
answered Jul 23 at 10:44
Waqas
4910
answered Jul 23 at 10:44
Waqas
4910
answered Jul 23 at 10:44
Waqas
4910
answered Jul 23 at 10:44
Waqas
4910
4910
add a comment |Â
add a comment |Â
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Somewhat tautologically, if you are interested with deviation from the mean, then the deviation from the mean is a good estimate of that error. But as long as you don't specify what you mean by "the error" this question doesn't have an answer.
– Mees de Vries
Jul 23 at 10:43
@MeesdeVries I edited the question so that it gives more clarity on what I'm looking for. Please check.
– cuser
Jul 23 at 11:28