Questions tagged [statistics]
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47 questions
0 votes
1 answer
32 views
Tolerance stacking - potential statistical distributions
Is there a reason to believe that for given symmetric tolerances (e.g., 6, modern metal milling techniques result in a non-Gaussian distribution? It makes some sense to me that the distribution would ...
0 votes
1 answer
68 views
How to determine the effect of manufacturing variability on assembly of items
Any help is appreciated. Below are some details The product has around 20 different components (including ones manufactured to spec, fasteners, off the shelf, consumables, etc.) Lets assume the ...
0 votes
0 answers
47 views
Costs of fatigue damage - need some statistical data / USA, Europe, Asia
I am looking for (pretty current/actual) statistical data related with Fatigue damage in machines, Annual fatigue costs in industry (for example with refference to Gross Domestic Product), time ...
1 vote
1 answer
182 views
How do I find a target standard deviation for my own testing given a confidence level, a mean, and bounds for the interval?
I'm working on a project involving a couple of material dispensers, and the customer we're designing them for has asked us to keep the output of the dispensers within a set range 95% of the time. I'm ...
-1 votes
2 answers
286 views
How to Determine a Valid Relationship Equation Between Two Finite Datasets -- Python, Matlab or Other [closed]
I struggled to find a clear solution online so I'm resorting to asking a fresh question. I have two finite datasets (call them 40x1 vectors) that are equal in length and generate non-linear curves, ...
0 votes
2 answers
62 views
Trendline estimation
Let's say you had a scatter plot with lap times on the y axis and tyre pressure on the x-axis from an experiment where your dependent variable is lap time and your independent variable is tyre ...
1 vote
2 answers
216 views
System identification of a simple motor with only position measurements
(Cross-posting from statistics stackexchange) Say we have a permanent-magnet DC motor that roughly obeys the system equation $$\ddot{x}(t) = \alpha \dot{x}(t) + \beta u(t) + \gamma $$ where $x(t)$ is ...
1 vote
1 answer
4k views
How to add a Gaussian noise signal with zero-mean in a given data set?
I have a real-time velocity measurement data set in a excel (.xlsx) file. I want to add the Gaussian noise signal with zero mean in this real-time data to create three set of pseudo measurements. ...
3 votes
0 answers
232 views
Relationship and interpretation of "discrete" and "continuous" covariance matrices in Kalman Filtering
I am quite confused about the interpretations/implementation of the system and measurement noise covariance matrices for the continuous and discrete time Kalman Filter. What I want is to initialize ...
1 vote
0 answers
66 views
How much energy do all the world's emails use?
I have heard high level statistics and headlines around blockchain uses more energy than the Netherlands I am interested to compare this quantitatively to other utilities, for example email and ...
1 vote
3 answers
1k views
Usage of the three-sigma limits in calculating minimum force
I have carried out 10 cantilever sample tests that provide a braking force as follows (in kN): 22.1, 20.98, 21.03, 20.7, 21.03, 21.09, 20.98, 21.08, 21.24, 21.19 The goal is to recommend the worst ...
0 votes
1 answer
66 views
Covariance of an uncertain vector going through an uncertain rotation
I have a vector $\omega$ and it associated covariance, a rotation $\mathbf R$ and its associated covariance. What is the covariance of $\mathbf R \cdot \omega$ ? More rigorously: I have an estimation ...
2 votes
1 answer
237 views
Compare Genetic Algorithms and Markov Chain Monte Carlo in their statistical properties in parameter estimation task
I am using GA and MCMC for estimating the parameters of a transfer function. GA returns results that each parameter has one value when minimizing the error function, and MCMC returns the whole chain ...
2 votes
0 answers
65 views
When NOT to use Bessel's Correction for Standard Deviation
I can not find a clear explanation for when NOT to use Bessel's correction and use N instead of N-1. As I understand it, Bessel's correction would apply to things such as clinical trials, sampling ...
-5 votes
2 answers
283 views
Talking in terms of 6 sigma, why 4 ppm would be very costlier than 1 ppm (part per milion)?
In industrial manufacturing lines, there is a a limit on the number of discarded parts per million.I need to have a sense about this, e.g. How different is 4 ppm from 1 ppm and how much does it ...