Notation suggestion for modeling discrete random variables in model
$begingroup$
I am developing a set of linear difference equations to model labor hiring. In each equation, there are two variables that take on values from a stochastic binomial random variable with $n$ trials and probability of success $p$.
From a Stack Exchange viewpoint, this problem does not have an objective answer, and is opinion based. But I also was hoping that one of the benefits of Stack Exchange was to help standardize the presentation of mathematical ideas. If anyone has a suggestion of how to improve the question description, please let me know. Further, if anyone wants to edit this post to make it comply with Math Stack Exchange principals, please feel free.
I was really looking for guidance on the best notation to use for such a model--in terms of clarity. As I said, this is a hiring model, so there is a number of attritions for each group, as well as an additional random factor that includes attritions over all groups $G$. The model will look something like this:
$$
attrition_{group1}(t) = binomial(n_{group1}, p_{group1})(t) + binomial(N_G, p_{G})(t)
$$
Now I could leave the notation this way, or I could use something like:
$$
attrition_{group1}(t) = a_{group1}(t) + a_{G}(t) \
a_{group1} sim Binomial(n_{group1}, p_{group1}) \
a_G sim Binomial(N_G, p_G)
$$
The first notation seems a bit clunky because of the "binomial" notation, but it has the virtue of all the information being present in a single equation. I have six group, hence this allows me to write only 6 equations.
On the other hand the second notation seems a bit more streamlined, however again I have 6 groups, so that means 18 equations. Of course I can write a bit more concise notation and condense the equations for all 6 groups to just 3 equations, but then that obscures some of the details from the reader.
I was wondering if anyone had suggestions on notation for this type of model layout with random variables conforming to different distributions. Thanks.
notation article-writing
asked Dec 22 '18 at 8:39
krishnabkrishnab
432415
$endgroup$
add a comment |
$begingroup$
I am developing a set of linear difference equations to model labor hiring. In each equation, there are two variables that take on values from a stochastic binomial random variable with $n$ trials and probability of success $p$.
From a Stack Exchange viewpoint, this problem does not have an objective answer, and is opinion based. But I also was hoping that one of the benefits of Stack Exchange was to help standardize the presentation of mathematical ideas. If anyone has a suggestion of how to improve the question description, please let me know. Further, if anyone wants to edit this post to make it comply with Math Stack Exchange principals, please feel free.
I was really looking for guidance on the best notation to use for such a model--in terms of clarity. As I said, this is a hiring model, so there is a number of attritions for each group, as well as an additional random factor that includes attritions over all groups $G$. The model will look something like this:
$$
attrition_{group1}(t) = binomial(n_{group1}, p_{group1})(t) + binomial(N_G, p_{G})(t)
$$
Now I could leave the notation this way, or I could use something like:
$$
attrition_{group1}(t) = a_{group1}(t) + a_{G}(t) \
a_{group1} sim Binomial(n_{group1}, p_{group1}) \
a_G sim Binomial(N_G, p_G)
$$
The first notation seems a bit clunky because of the "binomial" notation, but it has the virtue of all the information being present in a single equation. I have six group, hence this allows me to write only 6 equations.
On the other hand the second notation seems a bit more streamlined, however again I have 6 groups, so that means 18 equations. Of course I can write a bit more concise notation and condense the equations for all 6 groups to just 3 equations, but then that obscures some of the details from the reader.
I was wondering if anyone had suggestions on notation for this type of model layout with random variables conforming to different distributions. Thanks.
notation article-writing
asked Dec 22 '18 at 8:39
krishnabkrishnab
432415
$endgroup$
add a comment |
$begingroup$
I am developing a set of linear difference equations to model labor hiring. In each equation, there are two variables that take on values from a stochastic binomial random variable with $n$ trials and probability of success $p$.
From a Stack Exchange viewpoint, this problem does not have an objective answer, and is opinion based. But I also was hoping that one of the benefits of Stack Exchange was to help standardize the presentation of mathematical ideas. If anyone has a suggestion of how to improve the question description, please let me know. Further, if anyone wants to edit this post to make it comply with Math Stack Exchange principals, please feel free.
I was really looking for guidance on the best notation to use for such a model--in terms of clarity. As I said, this is a hiring model, so there is a number of attritions for each group, as well as an additional random factor that includes attritions over all groups $G$. The model will look something like this:
$$
attrition_{group1}(t) = binomial(n_{group1}, p_{group1})(t) + binomial(N_G, p_{G})(t)
$$
Now I could leave the notation this way, or I could use something like:
$$
attrition_{group1}(t) = a_{group1}(t) + a_{G}(t) \
a_{group1} sim Binomial(n_{group1}, p_{group1}) \
a_G sim Binomial(N_G, p_G)
$$
The first notation seems a bit clunky because of the "binomial" notation, but it has the virtue of all the information being present in a single equation. I have six group, hence this allows me to write only 6 equations.
On the other hand the second notation seems a bit more streamlined, however again I have 6 groups, so that means 18 equations. Of course I can write a bit more concise notation and condense the equations for all 6 groups to just 3 equations, but then that obscures some of the details from the reader.
I was wondering if anyone had suggestions on notation for this type of model layout with random variables conforming to different distributions. Thanks.
notation article-writing
asked Dec 22 '18 at 8:39
krishnabkrishnab
432415
$endgroup$
I am developing a set of linear difference equations to model labor hiring. In each equation, there are two variables that take on values from a stochastic binomial random variable with $n$ trials and probability of success $p$.
From a Stack Exchange viewpoint, this problem does not have an objective answer, and is opinion based. But I also was hoping that one of the benefits of Stack Exchange was to help standardize the presentation of mathematical ideas. If anyone has a suggestion of how to improve the question description, please let me know. Further, if anyone wants to edit this post to make it comply with Math Stack Exchange principals, please feel free.
I was really looking for guidance on the best notation to use for such a model--in terms of clarity. As I said, this is a hiring model, so there is a number of attritions for each group, as well as an additional random factor that includes attritions over all groups $G$. The model will look something like this:
$$
attrition_{group1}(t) = binomial(n_{group1}, p_{group1})(t) + binomial(N_G, p_{G})(t)
$$
Now I could leave the notation this way, or I could use something like:
$$
attrition_{group1}(t) = a_{group1}(t) + a_{G}(t) \
a_{group1} sim Binomial(n_{group1}, p_{group1}) \
a_G sim Binomial(N_G, p_G)
$$
The first notation seems a bit clunky because of the "binomial" notation, but it has the virtue of all the information being present in a single equation. I have six group, hence this allows me to write only 6 equations.
On the other hand the second notation seems a bit more streamlined, however again I have 6 groups, so that means 18 equations. Of course I can write a bit more concise notation and condense the equations for all 6 groups to just 3 equations, but then that obscures some of the details from the reader.
I was wondering if anyone had suggestions on notation for this type of model layout with random variables conforming to different distributions. Thanks.
notation article-writing
notation article-writing
asked Dec 22 '18 at 8:39
krishnabkrishnab
432415
asked Dec 22 '18 at 8:39
krishnabkrishnab
432415
asked Dec 22 '18 at 8:39
krishnabkrishnab
432415
asked Dec 22 '18 at 8:39
krishnabkrishnab
432415
asked Dec 22 '18 at 8:39
krishnabkrishnab
432415
432415
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3049227%2fnotation-suggestion-for-modeling-discrete-random-variables-in-model%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3049227%2fnotation-suggestion-for-modeling-discrete-random-variables-in-model%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
