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4
votes
0answers
34 views

Sanity check to determine if 'random' data on disk drive may have been tampered with

I've got some code that does a Dept of Defense secure erase of disks, and would like to know about a good sanity check to run after the fact. Bottom line, the last write phase of a secure erase of a ...
-1
votes
0answers
31 views

Is my One Tail Hypothesis correct?

Testing the sale of marijuana in Colorado and Washington before and after legalization. The numbers are made up and random. ...
0
votes
0answers
42 views

Determining sample size in a non-normaly distributed data

I want to take some samples from a database nearly ~150.000 records of a non-normally distributed values. From this link I obtained some common procedures to find a sample, influenced by The level of ...
2
votes
2answers
60 views

Best process for randomly drawing an odd and an even number

I want to draw a random number from 1 to 100. If this number is even, I want to then draw a random number from the odd numbers between 1 and 100. If the first number is odd, I want to draw a random ...
1
vote
1answer
43 views

Detecting/analyzing non-random permutations of a random sequence

I am looking for theoretical results regarding how easy it is to detect alteration of a random sequence. The permutation I am most interested in is where a subsequence of the random numbers is ...
1
vote
1answer
50 views

randomness and computers

How do computers achieve randomness if they really do ? How to decide whether something is random or not? Is there a measure of randomness? ...
2
votes
1answer
75 views

Differential Entropy

Differential entropy of Gaussian R.V. is $\log_2(\sigma \sqrt{2\pi e})$. This is dependent on $\sigma$, which is the standard deviation. If we normalize the random variable so that it has unit ...
3
votes
0answers
38 views

Relation between statistical randomness, uniform distribution and independence

In Monte Carlo simulation, we often consider how well a sequence of generated points are. If I am correct, one aspect is statistical randomness: A numeric sequence is said to be statistically ...
0
votes
0answers
48 views

ascertaining the randomness of a list of numbers [closed]

Assume that I have a series of DNA mutations occurring at specific positions x= [2, 3, 10, 14, 20] drawn from a sequence of length 50.( has positions 1 to 50) How ...
4
votes
2answers
109 views

Randomly picking from $n$ choices roughly $n$ times. What's the resulting frequency distribution called?

Not sure of the best way of phrasing this question, but I'll give it a go. If I were to randomly choose whole numbers between 1 and $n$ a significant number of times relative to $n$ (say, $m$, where ...
0
votes
1answer
96 views

Why is the ROC curve of a random classifier the line $x=y$?

The title is my whole question.
21
votes
2answers
447 views

Are the digits of $\pi$ statistically random?

Suppose you observe the sequence: 7, 9, 0, 5, 5, 5, 4, 8, 0, 6, 9, 5, 3, 8, 7, 8, 5, 4, 0, 0, 6, 6, 4, 5 , 3, 3, 7, 5, 9, 8, 1, 8, 6, 2, 8, 4, 6, 4, 1, 9, 9, 0, 5, 2, 2, 0, 4, 5, 2, 8 ... What ...
2
votes
0answers
58 views

How can you select one of two individuals at random using a biased coin

Suppose you are given a biased coin for which the probability of getting a head is $p (0<p<1)$.Discuss how you will select one of two individuals at random using the biased coin.
1
vote
2answers
52 views

Co-occurance problem

I have a series of discrete, purportedly random whole numbers like this: v1 v2 v3 v4 v5 v6 42 23 10 07 01 35 05 02 26 25 49 18 35 18 43 29 26 28 36 59 26 15 34 35 I ...
0
votes
0answers
56 views

Stock price max / min strangeness

Stock markets are often described as following a random-walk or something similar. I have a process that automatically picks a trade entry time and a trade exit time for a given stock. After 1000 ...
0
votes
0answers
16 views

Estimating the randomness of an SRS

I have noticed that normal population parameters can be estimated accurately with a reasonably small sample. It occurs to me that this is only possible because of the assumption that the random ...
0
votes
1answer
54 views

Test data for randomness with repetitions

I have an experiment where I am trying to determine whether the answering behavior of participants can be explained as random answering. I.e. every participants will have to answer multiple questions ...
2
votes
1answer
116 views

Runs Test and Chi Square Distribution

I want to identify random data by applying some tests to the observed byte stream. I used the chi square test already on a frequency analysis, which works fine. To reduce the false-positive rate I ...
2
votes
0answers
174 views

interpreting chi square value for validating random numbers

I am trying to use the chi-square test for identifying random data. I have 256 categories, i.e. 255 degrees of freedom and count the occurrence of byte-values (0-255). As suggested by Knuth, the ...
0
votes
0answers
93 views

measuring randomness using runs test [closed]

I try to measure the randomness of data using the runs test (beside the chi square test). I get following values for a file produced by /dev/urandom: ...
1
vote
2answers
149 views

When does a random test fail?

I must implement some Chi Square Test to test the randomness of "my" implementation, but I can't understand what this tests really say. The tests are different but what I always do is: divide in ...
5
votes
3answers
157 views

Test randomness of a generated password?

As you know, there are many password generators out there to increase computer security. Suppose I am given such a password (say, a string of letters, numbers, symbols, etc.), is there a way for me ...
0
votes
2answers
174 views

Probability of a randomly generated string being already present in a data set [duplicate]

Possible Duplicate: Simple combination/probability question based on string-length and possible-characters Suppose I have a collection of 1,000,000 unique strings where each string is ...
7
votes
3answers
388 views

What is the probability of n people from a list of m people being in a random selection of x people from a list of y people?

If I am selecting 232 people from a pool of 363 people without replacement what is the probability of 2 of a list of 12 specific people being in that selection? This is a random draw for an ultra ...
0
votes
1answer
688 views

Ljung-Box test: Basic Questions

I'm interested into the Portmanteau tests for fitting ARIMA models and ended up to Ljung-Box test and their implementations for R-statistics. I've read already some relative question on the subject ...
4
votes
2answers
124 views

Can one force randomness in a sample?

I recently spoke to a large qualitative analysis company who were working on in-depth analysis of the potential customers of train company. I asked them how they chose the people to include in their ...
3
votes
1answer
120 views

Is there a Bayesian equivalent to a Wald-Wolfowitz runs test?

I have a sequence of observations and I would like to determine if the observations in the sequence are mutually independent. Wald-Wolfowitz is a non-parametric test that can be used to check for ...
6
votes
1answer
98 views

How to sample randomly from a population?

What do you think about the following method to perform a random sampling: Generate as many floats (between 0 and 1) as individuals using a quantum random generator (each value appears only one ...
13
votes
2answers
260 views

Random walk with momentum

Consider an integer random walk starting at 0 with the following conditions: The first step is plus or minus 1, with equal probability. Every future step is: 60% likely to be in the same direction ...
24
votes
6answers
746 views

Why is it bad to teach students that p-values are the probability that findings are due to chance?

Can someone please offer a nice succinct explanation why it is not a good idea to teach students that a p-value is the prob(their findings are due to [random] chance). My understanding is that a ...
2
votes
0answers
61 views

Best way to find non-randomness regions in these or similar count data?

Let say I have data in a shape: [0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,....] - so mainly zeros.... However I know how long is my 'signal' and how many counts are they. Is it possible ...
-1
votes
1answer
210 views

Is there self-similarity in true randomness? [closed]

Would a truly random function exhibit self-similarity? By truly random I basically mean that if you have some function that produces a binary value, each new value will have exactly 50% chance of ...
10
votes
3answers
2k views

Can non-random samples be analyzed using standard statistical tests?

Many clinical studies are based on non-random samples. However, most standard tests (e.g. t-tests, ANOVA, linear regression, logistic regression) are based on the assumption that samples contain ...
2
votes
2answers
323 views

How to find out if a set of daily measurements are random or not?

There is a set of daily measurements. Time and measured values are both discrete. I want to find out whether measured values depend on the day the measurement was taken, or whether measurements are ...
2
votes
3answers
303 views

Long tailed distributions for generating random numbers with parameters to control tail heaviness

I have to generate random numbers for my algorithm based on probability distributions. I want a distribution which has heavy tails and is unskewed, which can produce numbers far away from location ...
3
votes
1answer
58 views

How can I even out a random distribution while minimising how far each data point is moved?

I have a software application which uses a queue and multiple processors to process those jobs. Jobs get re-run on a daily basis for customers, but we also have new customers signing up regularly. ...
11
votes
1answer
509 views

Scrambling and correlation in low discrepancy sequences (Halton/Sobol)

I am currently working on a project where I generate random values using low discrepancy / quasi-random point sets, such as Halton and Sobol point sets. These are essentially $d$-dimensional vectors ...
1
vote
2answers
145 views

Is it possible to predict the likelihood of an order of random events?

Sorry if this is a n00b question, I'm just trying to wrap my head around the problem. I am trying to refute conventional wisdom here, so any help is greatly appreciated. And now for the question: ...
14
votes
4answers
617 views

What is wrong with this “naive” shuffling algorithm?

This is a follow-up to a Stackoverflow question about shuffling an array randomly. There are established algorithms (such as the Knuth-Fisher-Yates Shuffle) that one should use to shuffle an array, ...
7
votes
0answers
419 views

Testing (and proving) the randomness of numbers [duplicate]

Possible Duplicate: Testing random variate generation algorithms What's a good way to test a series of numbers to see if they're random (or at least psuedo-random)? Is there a good ...