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by Amin
Today, 7:01 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I am showing graph of a density made with the algorithm presented in previous page of this thread. Later today, I will upload a matlab program where you would specify your moments and the density would be graphed by the program. Not every arbitrary combination of moments can be fitted since...
by Amin
Yesterday, 11:54 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

In this post I want to tell friends about a few things that point to elaborate infrastructure that is present in Pakistan to support US mind control. There are at least more than 500 mind control targets in Pakistan most of whom (at least 95%) are computer science majors.  What you find out about Pa...
by Amin
Yesterday, 9:03 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I will recall an incident eight years ago when I myself approached a lady psychiatrist for help and how she abused me and her staff beat me for twenty minutes and then tied me and started my treatment with antipsychotics again.  I am recalling this from early 2015. They had previously put m...
by Amin
June 28th, 2022, 5:53 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends my persecution by mind control agencies continues relentlessly. I had been sleeping in the porch/garage for past three months. Now they have started to inject me with mind control drugs when I am sleeping in the garage as the garage/porch is in the pathway and (there are no walls with a door...
by Amin
June 28th, 2022, 9:37 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I think I have been able to find a reasonably simple way to find Z-series of a stochastic variable when all its first few moments/cumulants are given. I still have to implement everything on computer and verify it but I have settled the ideas and all analytic steps for this solution. I hope...
by Amin
June 27th, 2022, 3:43 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Some notations and preliminaries first. Let us suppose we denote a standard gaussian density as    [$]p(X) \, = \, \frac{1}{2 \pi} \exp(- \, \frac{ X^2 }{2})[$] We also have hermite polynomials and first few hermite polynomials are denoted as [$]H_0(X) \, = \, 1[$] [$]H_1(X) \, = \, X[$] [$]H_2(X) ...
by Amin
June 27th, 2022, 2:33 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Some notations and preliminaries first. Let us suppose we denote a standard gaussian density as    [$]p(X) \, = \, \frac{1}{2 \pi} \exp(- \, \frac{ X^2 }{2})[$] We also have hermite polynomials and first few hermite polynomials are denoted as [$]H_0(X) \, = \, 1[$] [$]H_1(X) \, = \, X[$] [$]H_2(X) ...
by Amin
June 27th, 2022, 2:16 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Some notations and preliminaries first. Let us suppose we denote a standard gaussian density as    [$]p(X) \, = \, \frac{1}{2 \pi} \exp(- \, \frac{ X^2 }{2})[$] We also have hermite polynomials and first few hermite polynomials are denoted as [$]H_0(X) \, = \, 1[$] [$]H_1(X) \, = \, X[$] [$]H_2(X) \...
by Amin
June 26th, 2022, 9:44 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I have found a surprisingly simple formula for a probability distribution based on gaussian distribution and hermite polynomials where you can fit first few (six or eight or more) moments very easily using this distribution and it will be ensured that our probability distribution would have...
by Amin
June 24th, 2022, 4:24 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I am taking a break from my research on SDEs for one or two weeks. I continued to work on SDEs till yesterday but I was not getting any real work done and I was feeling burnt out. In past whenever I switched from my research on market trading to work on SDEs and vice versa, my productivity ...
by Amin
June 22nd, 2022, 5:09 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I will be posting a new version of analytic solution to pair of SV SDEs. It is simpler since it depends only on addition of squared variances across hermite polynomials and yields somewhat better results than solution of Fokker-planck equation I posted earlier. I hope it would be interesti...
by Amin
June 21st, 2022, 10:23 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

As addition to previous post, they always have  mind-control gas in the air-conditioners in the rooms I use whenever I turn them on.
by Amin
June 21st, 2022, 8:26 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Before posting the graphs from my work, I would like to take this opportunity to thank those friends who with their help made my research possible. Several years ago, I had to spend a huge amount of time everyday by going into remote parts of Lahore city and try to find good food and water. Mind co...
by Amin
June 17th, 2022, 4:45 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Here is the program used to create above graphs (I have rescaled the graphs though to show the main body) . . . function [] = FPESeriesCoeffsFromGaussiansWilmottNew02A_Lite_2DFPEA4AB02() %Copyright Ahsan Amin. Infiniti derivatives Technologies. %Please fell free to connect on linkedin: linkedin.com/...
by Amin
June 17th, 2022, 4:28 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1476
Views: 206161

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I reduced the step size in my simulation by 1/4 i.e. from 1/64 to 1/256 and made some other minor changes and now the program works perfectly well. We need very small steps at start of simulation and we should be able to take large steps later but that would require a time dependent step si...