# Tagged Questions

17 views

### Monte carlo error: Combining “experimental” and statistical errors

I'm doing a slightly involved Monte Carlo approximation of a quantity $E$ where I end up with the following formula: $E=\frac{\sum_{i=1}^np_ie_iG_i}{\sum_{i=1}^np_iG_i}\ .\ \ \ \ \ \ \ \ \$ (1) ...
63 views

### Margin of error for quotient of two measurements

I need to find the total margin of error for calculating velocity, while I have margins of error for time and distance. Actually the margins are the same (as both measurements were based on GPS - but ...
20 views

### Mean of data with uncertainties and confidence interval

My question sounds rather simple, but sadly I have not been able to find an answer online (which is rather strange as this seems very basic, so I apologize if I simply haven't looked well enough) The ...
44 views

### Propagation of Error question?

If I have a function $$f(r,V,B)=\frac {2V}{r^2B^2} = 2Vr^{-2}B^{-2}$$ what is the propagation of error? If I use the power rules and multiplication rules described here ...
20 views

### Error of function with errors on arguments and size of arguments

EDIT: my question is not how to derive the formula below (I think the derivation is more or less what I guessed, like the answer below supports), but whether it can be made valid for the case where ...
33 views

### Error Propagation - functions of the mean.

Given a number of measurements $\{x_i\}$ with values distributed according to a (known) probability distribution $\rho(x)$ with a theoretical mean $\langle x\rangle = \int dx x\rho(x) = f(y)$ and a ...
23 views

### Am I correctly analyzing this data?

I've found myself having a difficult time analyzing some recent data due to some confusion in my statistics knowledge. I'm taking dose rate measurements with a detector for 10 trials. I expose the ...
68 views

### Propagation of Error

If I have a function $$f(x,y)=\sqrt{x^2+y^2}$$ with error in $x$ be $\Delta x$ and error in $y$ be $\Delta y$, then how do we calculate ${\Delta f}$? I know if we have $$f(x)=x^n$$, then I at least ...
48 views

### Propagation of standard deviation for random variable with Markov Property

I have a discrete random variable, $X \in \{0,1,2,3\}$. Define the indicator function: $$1_{k}\left(x\right) = \begin{cases} 1, & \text{if x=k} \\ 0, & \text{otherwise} \\ \end{cases}$$ ...
94 views

### Error Propagation in Successive Least Square Adjustment

I have a certain problem in surveying in which I'm trying to do some error analysis. I'll layout the problem first. My current goal is to evaluate the variance-covariance matrix for the position of ...
I understand that, if errors are random and independent, the addition (or difference) of two measured quantities, say $x$ and $y$, is equal to the quadratic sum of the two errors. In other words, the ...