Timeline for How to calculate a confidence level for a Poisson distribution?
Current License: CC BY-SA 3.0
8 events
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| May 11, 2015 at 11:58 | comment | added | Mörre | @user44436 added an answer that was supposed to be a comment. I repost it as a comment so that you can see it and because as a non-answer it may get removed: ------- I believe the response by jose above is incorrect and arises from misreading the original question. The original poster stated Observations (n) = 88 - this was the number of time intervals observed, not the number of events observed overall, or per interval. The average number of events per interval over the sample of 88 observing intervals is the lambda given by the original poster. | |
| Mar 20, 2015 at 18:09 | comment | added | hikinfiend | I believe the response by jose.angel.jiminez above is incorrect, and arises from misreading the original question. The original poster stated "Observations (n) = 88" -- this was the number of time intervals observed, not the number of events observed overall, or per interval. The average number of events per interval, over the sample of 88 observing intervals, is the lambda given by the original poster. (I'd have included this as a comment to Jose's post, but am too new to the site to be allowed to comment.) | |
| Aug 8, 2014 at 20:53 | comment | added | jose.angel.jimenez | Thanks! I have now edited the answer including some specific calculations. The question does not explain how $\lambda$ and n have been obtained, so I made an educated guess. As you say, if n differs too much from $\lambda$ is the first hint that the model may not be Poisson or the measurement was not done right. One way to check it is precisely calculating the 95% confidence interval which, in this case, shows n is outside the interval. | |
| Aug 8, 2014 at 20:48 | history | edited | jose.angel.jimenez | CC BY-SA 3.0 |
More specific calculations related to the question.
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| Aug 8, 2014 at 19:07 | comment | added | Randel | Welcome to the site! But @Travis "would like to know how confident I can be in my $\lambda$", so it should be a confidence interval around the sample mean. Besides, what do you mean by $n\approx\lambda$, given they are 88 and 47 respectively? | |
| Aug 8, 2014 at 18:59 | history | edited | jose.angel.jimenez | CC BY-SA 3.0 |
deleted 12 characters in body
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| Aug 8, 2014 at 18:53 | review | First posts | |||
| Aug 8, 2014 at 18:57 | |||||
| Aug 8, 2014 at 18:51 | history | answered | jose.angel.jimenez | CC BY-SA 3.0 |