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Real life Cramer's Decomposition Theorem example.


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2












$begingroup$


I just heard of CDT and "tried" to read online documents (Not to mention "understand" it).



Easy Version Definition:




Given independent normally distributed random variables ξ1, ξ2, their sum is normally distributed as well, and vice versa.




But all I can find is the "proves" of the theorem!



Could somebody be so kind and give me a real life example to help me understand it!?



Much appreciated!!!










share|cite|improve this question











$endgroup$












  • $begingroup$
    You've gathered one close vote for a lack of context (not from me). To avoid further close votes, I would advise stating the theorem in your question, so that people don't have to Google it.
    $endgroup$
    – Theo Bendit
    Mar 12 at 8:44










  • $begingroup$
    Updated! Thanks for your warning!
    $endgroup$
    – PiggyChu001
    Mar 12 at 8:53
















2












$begingroup$


I just heard of CDT and "tried" to read online documents (Not to mention "understand" it).



Easy Version Definition:




Given independent normally distributed random variables ξ1, ξ2, their sum is normally distributed as well, and vice versa.




But all I can find is the "proves" of the theorem!



Could somebody be so kind and give me a real life example to help me understand it!?



Much appreciated!!!










share|cite|improve this question











$endgroup$












  • $begingroup$
    You've gathered one close vote for a lack of context (not from me). To avoid further close votes, I would advise stating the theorem in your question, so that people don't have to Google it.
    $endgroup$
    – Theo Bendit
    Mar 12 at 8:44










  • $begingroup$
    Updated! Thanks for your warning!
    $endgroup$
    – PiggyChu001
    Mar 12 at 8:53














2












2








2





$begingroup$


I just heard of CDT and "tried" to read online documents (Not to mention "understand" it).



Easy Version Definition:




Given independent normally distributed random variables ξ1, ξ2, their sum is normally distributed as well, and vice versa.




But all I can find is the "proves" of the theorem!



Could somebody be so kind and give me a real life example to help me understand it!?



Much appreciated!!!










share|cite|improve this question











$endgroup$




I just heard of CDT and "tried" to read online documents (Not to mention "understand" it).



Easy Version Definition:




Given independent normally distributed random variables ξ1, ξ2, their sum is normally distributed as well, and vice versa.




But all I can find is the "proves" of the theorem!



Could somebody be so kind and give me a real life example to help me understand it!?



Much appreciated!!!







probability-theory normal-distribution






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Mar 12 at 8:53







PiggyChu001

















asked Mar 12 at 8:31









PiggyChu001PiggyChu001

112




112












  • $begingroup$
    You've gathered one close vote for a lack of context (not from me). To avoid further close votes, I would advise stating the theorem in your question, so that people don't have to Google it.
    $endgroup$
    – Theo Bendit
    Mar 12 at 8:44










  • $begingroup$
    Updated! Thanks for your warning!
    $endgroup$
    – PiggyChu001
    Mar 12 at 8:53


















  • $begingroup$
    You've gathered one close vote for a lack of context (not from me). To avoid further close votes, I would advise stating the theorem in your question, so that people don't have to Google it.
    $endgroup$
    – Theo Bendit
    Mar 12 at 8:44










  • $begingroup$
    Updated! Thanks for your warning!
    $endgroup$
    – PiggyChu001
    Mar 12 at 8:53
















$begingroup$
You've gathered one close vote for a lack of context (not from me). To avoid further close votes, I would advise stating the theorem in your question, so that people don't have to Google it.
$endgroup$
– Theo Bendit
Mar 12 at 8:44




$begingroup$
You've gathered one close vote for a lack of context (not from me). To avoid further close votes, I would advise stating the theorem in your question, so that people don't have to Google it.
$endgroup$
– Theo Bendit
Mar 12 at 8:44












$begingroup$
Updated! Thanks for your warning!
$endgroup$
– PiggyChu001
Mar 12 at 8:53




$begingroup$
Updated! Thanks for your warning!
$endgroup$
– PiggyChu001
Mar 12 at 8:53










0






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