Dice for Statistical Experiments

@article{GaltonDiceFS,
  title={Dice for Statistical Experiments},
  author={Francis Sir Galton},
  journal={Nature},
  volume={42},
  pages={13-14}
}
EVERY statistician wants now and then to test the practical value of some theoretical process, it may be of smoothing, or of interpolation, or of obtaining a measure of variability, or of making some particular deduction or inference. It happened not long ago, while both a friend and myself were trying to find appropriate series for one of the above purposes, that the same week brought me letters from two eminent statisticians asking if I knew of any such series suitable for their own… 
A survey of Monte Carlo methods for parameter estimation
TLDR
A thorough review of MC methods for the estimation of static parameters in signal processing applications is performed, describing many of the most relevant MCMC and IS algorithms, and their combined use.
Stochastic Simulation in the Nineteenth Century
In the last quarter of the nineteenth century, three separate (but not entirely independent) papers appeared describing methods of studying complicated statistical procedures through the generation
A Search for Good Pseudo-random Number Generators : Survey and Empirical Studies
TLDR
To verify the claim of so-called good generators and rank the existing generators based on strong empirical tests in same platforms, the genre of PRNGs developed so far has been explored and classified into three groups -- linear congruential generator based, linear feedback shift register based and cellular automata based.
Improving the quality of indicator systems by MoSi
TLDR
MoSi is proposed as a software tool for the modelling of indicator systems as well as their simulation and the implementation of the SamPro algorithm, which implements the MCMC simulation approach for indicator systems, is included in MoSi.
Unbiased All-Optical Random-Number Generator
TLDR
This work presents a purely optical randomness generator, based on the bi-stable output of an optical parametric oscillator, which delivers an ambiguity-free output, which is reliably detected and associated with a binary outcome.
Simple stochastic simulation of time irreversible and reversible processes
TLDR
An analytical exact method capable of handling time irreversibility in addition to preserving the second-order stochastic structure, as well as higher-order marginal statistics, of a process is proposed.
DNA synthesis for true random number generation
TLDR
It is shown that using DNA for random number generation, it can obtain 7 million GB of randomness from one synthesis run, which can be read out using state-of-the-art sequencing technologies at rates of ca.
Cellular Automata: Reversibility, Semi-reversibility and Randomness
TLDR
A mathematical tool, named reachability tree, is developed and relation between reversibility of finite and infinite CAs is established and CAs as source of randomness are explored to build pseudo-random number generators (PRNGs) based on CAs.
Estimation of entropy rate in a fast physical random-bit generator using a chaotic semiconductor laser with intrinsic noise.
TLDR
It is argued that the ratio of change in average memory time with change in logarithm of noise strength can be used to estimate the intrinsic dynamical entropy rate for this method of random bit generation.
Fast physical random bit generation with chaotic semiconductor lasers
TLDR
It is shown that good quality random bit sequences can be generated at very fast bit rates using physical chaos in semiconductor lasers, which means that the performance of random number generators can be greatly improved by using chaotic laser devices as physical entropy sources.
...
...