# Questions tagged [statistics]

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### Sensitivity of a function [closed]

Let's say I am drawing a six-sided dice 600 times. For every six times, I am recording six different values I have got. I will be getting something like: 1 -> 4,3,6,2,4,3 2 -> 1,4,5,3,6,3 3-> ...
24 views

### Sensitivity of the parameter for the measurement [closed]

Thank you for the feedback! Let me explain. Let's say I am drawing a six-sided dice 600 times. For every six times, I am recording six different values I have got. I will be getting something like: 1 ...
19 views

### How to average two numbers with error bars?

I am trying to fit a function with two different data sets. Each data set gives me the fitting parameter with its error bar. How can I use these two fitting values of the fitting parameter to get its ...
24 views

### What is the tension of the Hubble constant in standard deviations?

Depending on the data, the tension in the measurement of the Hubble constant H0 is up to 9 percent. This corresponds to about 5 sigma. I am interested how this standard deviation is calculated.
81 views

### What is meant by frequency = 0? [closed]

When I say that an event has frequency =0, does that imply that the event is impossible?
23 views

### What metrics can be used to quantify underestimation of uncertainties?

Suppose an experiment measures a quantity to be $5 \pm 0.3$ and another measures it to be $9 \pm 0.3$ What metrics can be used to emphasize and quantify the error in the estimation of uncertainties by ...
26 views

### In experimental particle physics: Why and when can a combinatorial background be modeled with exponential functions?

A common model for the combinatorial background in an invariant mass distribution in experimental particle physics is an exponential distribution. Is there a physical reason why this is a good model ...
27 views

### Is it always possible to infer photon distribution from photon statistics?

Say we are detecting light in the time interval $(t,t+T)$ that is described by the intensity $I(t)$. Let the integrated intensity in this interval be given by: $$U=\int_t^{t+T}I(t’)dt’$$ Since $I(t)$ ...
96 views

### Different forms of Heisenberg Uncertainty Principle

The Heisenberg Uncertainty Principle is often written in two forms: $$\Delta x \Delta p \geq \frac{\hbar}{2}$$ and $$\sigma_x \sigma_p \geq \frac{\hbar}{2}.$$ Are these two equivalent? I've been ...
26 views

### Uncertainty from variable to derivative in data fitting

If I have a system of differential equations, say $x' = f(x,p)$ and a set of data $(t_n,x_n)$, where $p$ is the set of constant parameters. I can then use a fitting method like least squared to obtain ...
5k views

### Why does a collection of radioactive atoms show predictable behaviour while a single one is highly random?

Well, we know that it is impossible to say exactly when a radioactive atom will go on decay. It is a random process. My question is why then a collection of them decays in a predictable nature (...
39 views

### Relationship between physical scale and certainty

Partially motivated by this question, I get the impression that it is generally more difficult to make accurate statistical predictions in Physics about "the small" (microscopic phenomena) ...