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10 votes
0 answers
391 views

Question from an economist: solving a model of traders' behavior with expectations about the future values of the variable they are currently optimizing

Motivation I am an economist writing a paper for an academic finance journal. My paper is about the behavior of currency traders, who choose the price at which they will sell currency today, based on ...
John's user avatar
  • 101
3 votes
2 answers
334 views

Scale random variables in a way they have equal probabilities of being minimal

I have several positive random variables $x_i,\ i=1,...,N$ taken from different unknown distributions (these distributions can be closely approximated by log-normal if needed). I can sample these ...
Anton Sukhinov's user avatar
3 votes
0 answers
92 views

What dynamical properties should we expect from systems satisfying statistical ones?

Some results on probability theory can be generalized to more abstract ones in ergodic theory, for example: the strong law of large numbers can be seen as a particular case of Birkhoff's ergodic ...
Odylo Abdalla Costa's user avatar
2 votes
1 answer
1k views

Derivative of a random process

Consider $w(t)$ as Guassian random process, with $w(t)$ being $\mathcal{N}(\mu,\sigma)$ and i.i.d for all t. I consider applying a (stochastic)derivative operation to the random process. What is the ...
Neeks's user avatar
  • 151
1 vote
1 answer
294 views

Stability of discrete queue (new twist)

Hi, I am new to queueing theory. I am interested in a question that I feel should be fairly basic, yet I haven’t really found a clear solution to it. Hopefully somebody here can help me. We have a ...
Pradipta's user avatar
  • 501
1 vote
1 answer
170 views

Stationary distribution of Markov Chain with departure

I have a Markov Chain of $N$ states. Such states represent the energy levels in a molecule. The states' connectivity is as follows: States $j\in\{0,\ldots,N\}$ transition to $k\in\{\max(j-M,0),...,\...
TheVal's user avatar
  • 151