Random Generator

Random number generation and Simulation

google play link

A lot of real world measurements are first study by collecting samples. When we identify the distribution they belong to, we can simulate the data with random number generated from that known distribution.

This tool allows you to configure the parameters of a selected distribution. Click the triggering icon to generate the data and display the histogram. By repeating the generating runs, we can get a better visual feel of the variation of sampling from the same distribution as if you collect real life sample measurements. This process is the well known Monte Carlo Simulation.

Discrete Distribution

1. Uniform
Typical toss of coin, rolling dice, roulette are of this distribution.
Method used - java util's internal library. 

1. Binomial
Dichotomous outcome
Method used - compare with sum of logarithms

1. Poisson
Counts
Method used - Inverse transform sampling for lamda < 50, else use normal
approximation

Continuous Distribution

1. Normal
A lot of measurement like weight, height, temperature, pressure especially sample mean.
Method used - accept or reject on logarithms

1. Exponential
Arrival time, service turn around time.
Method used - logarithms transformation

1. Logistic
Growth model
Method used - logarithms of the reciprocal conjugate

1. Laplacian 
Also known as Double Exponential like difference on time
Method used - subtracting two independent exponential

1. Cauchy
Earthquake and the like
Method used - tangent of angle

There is a menu icon to toggle the auto update of the generating seed. There are cases you want to be able to reproduce the result from a starting seed.

There is a menu icon to allow you to send generated data to another app.

The final icon is to display this document

Have fun