I have developed a random number generator and wonder what commercial applications it could have. I am trying to decide if it's worth patenting it. Here is a short description.
Key features
The developed random generator is initialized with an existing data sequence x(t). The generator then generates random data y(t), which has the following characteristics:
x(t) and y(t) have the same distribution;The derivatives dx/dt and dy/dt have the same distribution;The zero-crossings (or level crossings) of x(t) and y(t) have the same distribution and their counts are statistically equal;The expected number and spacing of the positive peaks of x(t) and y(t) are statistically equal;The generator could be used for generating random data with any distribution, derivative distribution, etc.
I have attached a couple images with examples:
x(t) has uniform distribution and normal derivative distribution;x(t) has uniform distribution and non-normal derivative distribution;x(t) has bimodal distribution;x(t) has uniform left/right distribution.