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I have to find a mathematical model for the temperature vs. time to study the temperature of the environment next to a lamp. This lamp is made off and on on, let's say, a daily basis

The lamp is starting together with a cooldown which stabilizes during the first time of use. After the lamp off, another cooling starts.

When a lamp is working, I see kind of two gauss curves mberged together (two peask), with right skewing.

So, I'm considering two functions $F$ which are adding together.

But, what should $F$ be? I don't know black body temperatures equations, but if they exists, they should fit well. I was also thinking about Weibull distribution but that only because I know it looks like this, and it suffers of the fact that it is not continuous.

Thanks a lot.

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  • $\begingroup$ I'm voting to close this question as off-topic because it's been simultaneously posted to multiple SE sites. If we determine that it's on topic here, we can reopen it. $\endgroup$
    – David Z
    Jul 13, 2015 at 8:50
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    $\begingroup$ Indeed, that was not very fair to push it on two forums, but I did that because it involves lots of physics ... for big data purposes. I don't think that big data specialists are best suited to define that $F$ which is IMHO a modelisation of black body's behavior. On the other hand, at the end, that predictive analysis ... so data science. So, could you please leave it open? Thanks $\endgroup$ Jul 13, 2015 at 8:59
  • $\begingroup$ When the same question is posted on multiple sites, that usually means it's not clear whether it's on topic for either of them, which I think is the case here. If you were to adapt your question to each site - i.e. ask the physics part of the question here, and the data science part of it on Data Science - then it would probably be fine. $\endgroup$
    – David Z
    Jul 13, 2015 at 9:06
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    $\begingroup$ Indeed, I'm sorry about that. I definitely think that it's more a physics problem, so I've removed the question about the quality of the model and I've cancelled the post on DataScience. Thanks. $\endgroup$ Jul 13, 2015 at 9:18
  • $\begingroup$ No worries, it's one of those things that you learn with experience. I suppose I'll reopen this question, then, but I still think it could be edited to make the physics aspects more prominent. We'll see what the community thinks. $\endgroup$
    – David Z
    Jul 13, 2015 at 9:47

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