# 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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+100

### 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 ...
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 ...
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 ...
1 vote
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1 vote
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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 ...
27 views

### 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 ...
38 views

### 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 ...
37 views

### 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 ...