# Questions tagged [statistics]

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### Qubit ensemble measurement error from single-shot measurements with fidelity

I feel like I should have been able to find the answer to the question, but I have been unsuccessful so far. This question relates to measuring a two level system, and determining an ensemble or ...
6 views

### Particle concentration dependency by particle volume for a given mass

I have a mixture with a lot of nano-particles (suspended in water) with diameter ranging from 15nm to 40nm with a skewed distribution. I know the count of each particle by size. I know the mass of the ...
1 vote
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### Spherical harmonics with 2 cosmological probes : considering $a_{\ell m, photo}$ as a constant and $\hat{a}_{\ell m, spectro}$ as an estimator

I am in cosmological context where the survey on which I am working has 2 probes : a photometric galaxy clustering ($GC_{ph}$) probe and a spectroscopic galaxy clustering ($GC_{sp}$ probe). We use an ...
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### In the Statistical Mechanics Mark E. Tuckerman 4.4.7

When deriving the energy fluctuations in the canonical ensemble, a step is made to approximate Cv≈N, why is this?
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### Error calculation for a relative difference with only one standard deviation (STD)

I have a quantity that is calculated with two measurements, but I only have a tabulated standard deviation for one of the measurements. How would I calculate the error on the calculated quantity? The ...
1 vote
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### Test for correlation in photon detection

I have data from an experiment as follows. $x^A_t = [0,0,1,0,2,0,3,...]$ and $x^B_t = [0,1,1,0,2,2,0,...]$. These numbers are photon counts measures in two different photon-counting detectors. I have ...
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1 vote
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### Converting reach reported at $1\sigma$ to $95\%$ C.L

I'm comparing these two papers, Refs. (1) and (2), and they both constraint the ratio of doubly-charged scalar mass ($M_{H^{\pm\pm}}$) and its Yukawa coupling $(f_{ee})$ to electrons. In Ref. (1), the ...
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1 vote
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### Example for a physical distribution without a well-defined standard deviation

Is there a physical example of a distribution that has a diverging standard deviation (like the Cauchy distribution) and is there an intuitive reason for the standard deviation diverging? Is there a ...
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### Fitting of experimental data affected by different kinds of errors

It is quite easy to evaluate the best-fit curve for a set of n data points when the dependent variable is affected by a statistical error (namely when you have n triplets $(x_i,y_i,\sigma_{y_i})$. I ...
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### Inclusion of a systematic uncertainty in the upper limit on cross-section

Let's imagine the following simplistic experiment: we search for a certain particle of a known mass at the LHC, and set an upper limit on its production rate. We use the CLs method and claim, for ...
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### How do you weight a chi square for uncertainties in $x$ and $y$ (different units)?

So I have experimental data for energy vs angle with uncertainties in both the $x$ and $y$ direction for every point. I am comparing this to a known curve/data points. Is it possible to calculate a ...
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### Particle interference

According the experiments of interference of the particles one by one*, we see that it is the distribution of the impacts of all the particles on the screen (detector) which draws (constructs) the ...
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### How to calculate the uncertainty and mean of multiple measurements with different errors?

In common situation,each measurement with the same error,so we can simple average the measurement value to get the result and uncertainty.But some times the error of each measurement is not same,that ...
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