Questions tagged [randomness]
Randomness is the lack of pattern or predictability in events. Randomness is often modeled with probability distributions, but can also be generated by deterministic processes.
225 questions
3 votes
0 answers
83 views
Diaconis' argument for 3 shuffles in a deck
I remember hearing that the great probabilist Persi Diaconis had said that three shuffles of a deck suffice to give an adequately shuffled deck. I wonder if there is an original reference to this ...
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5 votes
2 answers
247 views
Wald-Wolfowitz runs test on white noise
I am looking for ways to inspect whether a time series is different from white noise (WN), where white noise is understood as a process with a zero mean, constant variance and zero autocorrelation at ...
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0 votes
0 answers
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Probability of encountering certain numbers of consecutive heads over a number of tails terminated coin tossing runs
I'm tossing coins and recording the number of heads I get before I get tails, and I repeat that 1999 times (1999 tails terminated coin tossing runs). ...
0 votes
1 answer
64 views
Is there any case in which evaluation of outliers does not render probabilistic sampling deterministic?
As I understand it, probability sampling means that every element in the population has a nonzero probability of being selected as part of the sample. But when some elements have a nonzero probability ...
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3 votes
1 answer
171 views
Uniform sampling from intersection of hypercube and simplex
Background Discussion from http://blog.geomblog.org/2005/10/sampling-from-simplex.html and https://cs.stackexchange.com/questions/3227/uniform-sampling-from-a-simplex have shown algorithms of sampling ...
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0 votes
1 answer
476 views
Deep learning model performance heavily dependent on initial model weights
While my deep learning model is quite robust to randomness coming from train/test data-splits, it is not robust to initial model weights. How should I go about this? Also, I'd greatly appreciate it if ...
1 vote
0 answers
45 views
Can we use p-values of NIST Test as a score for Randomness for a given binary sequence?
I am given two sequences and the p-values of NIST Tests for both sequences. Can I use these p-values as a measure of the quality of randomness?
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1 vote
1 answer
140 views
Two not normal distributed samples & unequal sample size
I got two sample sets a training set around 32k rows and I have a test set of 16k rows. I want to test if the two sets are randomly split. I checked the normal distribution and it is not met for none ...
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0 votes
0 answers
224 views
Metric to quantify randomness
I have an $L \times L$ matrix representing a $2D$ region. Each entry of this matrix is a real number lying in the closed interval [0,1]. I want to quantify how different is this from a similar $L \...
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7 votes
2 answers
333 views
Stochastic modelling, distribution and ergodicity of a particular time series with a given finite history
Let $\Omega$ be a sample space. A stochastic process $\{Y_t\}$ is a function of both time $t \in \{1, 2, 3, \ldots\}$ and outcome $\omega \in \Omega$. For any time $t$, $Y_t$ is a random variable (i....
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0 votes
2 answers
1k views
Is using a fixed random seed in production okay?
I have a dataset and am trying to use GMM to cluster it. The algorithm works well but when I run it multiple times I get different results. While the clusters produced in each run are valid my users ...
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1 vote
1 answer
75 views
How to determine the randomness of coin tosses by its final position?
Suppose a circle is drawn on the floor, and a coin is tossed over it many times. If it jumped out of the circle, then we do not take it into account. How to determine from the statistics of coin end ...
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0 votes
1 answer
728 views
Chi Square Test?
Would I use a chi square test to solve the following: Use the attached data set for our company to address the following. ...
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1 vote
2 answers
129 views
Is there a term for this concept (Randomly Random)?
Let's say I have what appears to be a fair dice that over 10K fair throws it produces very close to 1/6 occurrences of each face value. But then one day it starts a string of throws where the 3 face ...
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12 votes
4 answers
2k views
Is anything inherently random?
Is anything inherently random? Or is all randomness observed in data either "errors in measurement" or "lack of understanding"? Assume we could measure everything with infinite ...
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