# Questions tagged [error-propagation]

For questions on propagation of errors.

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### Bayesian propagation of classification uncertainty to estimator

I have 10 objects which can be classified as A,B,C,D with some probability. For example: object 1: 40% A, 20% B, 30% C, 10% D object 2: 10% A, 30% B, 40% C, 20% D ... The question I want to ask is ...
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### Simulations and floating point error?

Dear math stack exchange, I'm curious about what would floating point error would look as i've been hoping to conduct some simulations of gravitational phenomenon. Is it highly random or somewhat ...
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### Simple error bound of inverse function

Let's suppose that we are given a number $a$ with some absolute error $\epsilon$, i.e. we know that $|a-\overline{a}|\leq \epsilon$. The values of $a$ might rage from 1 to some upper bound $K$. What ...
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### Cancellation error of $\frac{1}{z-w}$

I have a problem where I need to calculate $\frac{1}{z-w}$ where $z$ an $w$ are complex numbers that are very close in the euclidean norm sense. However, when I use this formula in my code, it seems ...
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### How do error bars change for variables squared?

Let's say I have some variable $\mu$ with an uncertainty estimate: $$\mu = 2 \pm .5$$ Let's say I have another variable $\nu = \mu^2$. Is the uncertainty estimate in $\nu$ equal to the the ...
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### Error bound on square root of relative error bounds

Can you correct me if I am wrong. If $|d^2 - \tilde d^2| \leq \epsilon d^2$, what is the error on $|d - \tilde d|$? I think is $\sqrt \epsilon d$.
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### Error Analysis for a Fraction

Suppose I have the following functions $f(x)$ and $g(x)$, such that: $$f(x) = \tilde{f}(x) + O(x^{-p})$$ $$g(x) = \tilde{g}(x) + O(x^{q})$$ where $p,q \in \mathbb{Z}_{++}$ and f,g are positive ...
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