# Tagged Questions

A classical iterative method for generating uniform pseudo-random number streams.

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### Pseudo random numbers

I am learning how to use pseudo random number generators but the instructor just told us how they work without explaining why they work. For example, can one prove that the numbers generated by LCG ...
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### What PRNG function is this?

This is a 16-bit PRNG function, transcribed from assembly to C for easier reading: ...
232 views

### Parallel Mersenne Twister for Monte Carlo

Recently, I came across a comment claiming that almost all researchers doing Monte Carlo methods are doing it wrong. It went on to elaborate that merely choosing different seeds for different ...
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### Difference between true & pseudo random numbers

I recently heard that in Linux, /dev/random and /dev/urandom are pseudo random number generators but not true random number ...
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### Generating Random Numbers in Fortran for Metropolis method

I am having a really hard time getting any kind of reliable / consistent result from my Metropolis code. I have torn it apart and am now examining just the randomness in my random number generator. I ...
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### Color Coding Gradient in Matlab

I am trying to visualize bond strength via a color gradient in matlab (such that a high energy would be in red, low in blue). The underlying data structure, bond locations, and bond energies are ...
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### Sampling from the Generalized Beta of the Second Kind in Fortran

I need to sample from the generalized beta of the second kind (GB2) distribution (McDonald, 1984, Econometrica). Its PDF has the form  f_{a,b,p,q}(x) = \frac{|a|x^{ap-1}}{b^{ap}B(p,q)(1+(x/b)^a)^{p+...
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### Maths calculations for randomly generated numbers don't match computed averages

Ok, It was hard to explain my problem in the title. I hope it made enough sense to peak the curiosity of some of you. What I've been trying to do is find the relationship between the amount of random ...
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### optimising changing the range of integers from random number generation

I'm looking to find the most efficient way to change integers from a random number generator to a different inclusive number range. I know of 2 ways so far: Change the number into a decimal in the ...
530 views

### Calculating periodicity of a pseudo random number generator (Middle-square method) [closed]

Below is a Python code that calculates the periodicity of the middle-square method for a given 4 digit-numbers: ...
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### Quality of randomness in generated random number

I have generated a list of 3 random number where each summed to 1. I would like to assess the quality of randomness. What is the best mechanism to assess this randomness? E.g my random numbers are. ...
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### WELL pseudo-random number generations

I've used MT19937 in a test harness to generate uniformly (unsigned) 32-bit [0, $2^{32}$- 1] values, based on the original Authors' mt19937.c implementation, to ...
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### Multiple independent random number streams

Having multiple streams of pseudo-random numbers known to be independent and with a uniform distribution I want to do Monte Carlo simulations in parallel. In other words, one thread will have a full-...
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### random number generation from cython

I want to make my python program fast by using cython, but my inner loop is still making slow python calls to the random number generator! Several years ago this same issue was raised by someone on ...
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### How to assure that a number only contains a certain range of digits?

Say I would like to generate a pseudo-random number, which only contains the digits 1, 4, 7 (this is arbitrary). My first guess would be to create and array "147" and create random numbers in the ...
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### How to handle large numbers of output data sets from a simulation/sensitivity analysis?

Somewhat related, but I think the question is distinct enough to justify a separate question. As a bit of background, I come from a observational/statistical Epidemiology background, working with ...
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### Quality Measures for Various Pseudo-Random Number Generators

According to this paper, Ideally, a pseudorandom number generator would produce a stream of numbers that: are uniformly distributed, are uncorrelated, never repeats itself, ...
448 views

### How can I determine the initial values of pseudo-random number generator if the sequence is given?

Suppose I knew that a random number sequence was generated by a linear congruential generator. That is, $x_{n+1}=(aX_n+c) \bmod m$ If I am given the entire period (or at least a large contiguous ...
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### How can I determine the period of my pseudo-random number generator?

Suppose I'm using a linear congruential pseudo-random number generator (PRNG). Given a seed $x_0$, the multiplying factor (a), the shift factor (c) and the modulus factor (m), how can I determine the ...
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### How can I seed a parallel linear congruential pseudo-random number generator for maximal period?

Normally when I seed a sequential random number generator in C, I use the call srand(time(NULL)) then use rand() mod N ...