Anyone familiar with random variable characteristic series?

Suppose f(x) is a probability distribution of a random variable X, where x is real. We may calculate the Fourier transform of f(x) and this way obtain the so-called characteristic function of...

09 October 2015 9,571 6 View

Can anyone help with variance for combined probabilities?

Suppose that we are given two probability density functions. f(x) with mean 0 and variance sf2 g(x) with mean 0 and variance sg2 Let h(x) = N sqrt( f(x) g(x) ), where N is the normalization...

02 March 2014 4,141 7 View

Is there a description of a "Formula stable" probability distribution?

According to E. Lukacs, "Characteristic functions", 2nd ed., we say that F(x) is a stable probability distribution if for all b1,b2>0 and all real c1,c2 we can find b>0 and real c such that: F(...

11 December 2013 2,034 16 View

Is there a model related to settling of DAC's output to generated OFDM signal?

Let me know if such model is described somewhere. I am looking for a mathematical (analytic) model describing how a signal with orthogonal frequency-division multiplexing generated by a DAC is...

10 November 2013 6,504 3 View

Are there any benefits from output settling in DACs?

Is there known any case in which non-instant output settling of a digital-to-analog converter is preferable? Ideally, the output of DAC is a step function, with immediate transitions. Perhaps if...

10 November 2013 9,454 4 View

Do you know any statistical models for OFDM alternative to Gaussian?

Typically, the probability of OFDM signal having a particular value is assumed to be given by normal distribution (i.e. Gaussian). Do you know any alternative models?

10 November 2013 7,158 4 View

Is there known any generalization of characteristic function?

Characteristic function of a random variable X is defined as E[exp(itx)]. It has been studied a lot and a number of its useful properties are known. Is there known any "generalization" of...

10 November 2013 9,537 6 View

How to find a random variable for given probability distribution defined in terms of distributions of other random variables?

Suppose that X1, X2 are random variables with given probability distributions fx1(x), fx2(x). Let fy(x) = fy( fx1(x) , fx2(x) ) be a known probability distribution of "unknown" random variable Y....

09 October 2013 7,915 4 View

Could you recommend any books about Number Theory?

Beginner level books. High level books. Analytical Number Theory. Algebraic Number Theory. Combinatorical Number Theory. Books about partitions. Books about primes.

03 March 2021 7,174 5 View

Arena simulation - how do i model the following model in ARENA (see description) (new to ARENA)?

Hello, I'm fairly new to ARENA and I have the following problem: I have two queues in which, in each queue, a different order type arrives (both having an arrival rate of exponential 10). Order...

02 March 2021 2,431 3 View

Why are the velocities so high in my Boussinesq approximation Fluent simulation?

Hello, I have a mechanism where air rises due to convective flows. In this simulation, nothing is driving the air except this. I understand that the Boussinesq approximation only works for small...

02 March 2021 4,910 3 View

Is there a deep reason for using the squared modulus of the wave function as the probability density of the existence of the particle?

I think we were all surprised at the first time we got to know quantum mechanics that the squared modulus of the wave function is the probability density of the existence of the particle? The role...

28 February 2021 6,282 9 View

What is Flat Lens Antenna?

28 February 2021 5,433 3 View

Can impedance of antenna be less than 50 ohms?

I am simulating helix antenna in hfss, right now, giving excitation with 50 ohms port. When I see the results of Z parameter (real). It shows lower than 50 ohms. Do not understand, if it can be...

27 February 2021 4,218 7 View

What are the application of Fixed points thoery in Chemistry.?

It is said that fixed point theory has lot of applications not in the field of mathematics only but also in various areas. So I am looking for applications in Chemistry only..

26 February 2021 3,533 1 View

How to plot the probability paper of Gumbel distribution using R programing?

In R-studio, there are many commands of Gumbel package. Arguments are also different. I`m asking about the alpha parameter of the Copula which must be greater than 1. If this is the one used to...

25 February 2021 5,229 3 View

Has anyone used the Illumina ITS1 primer sets?

Hi everyone, Illumina provides a list of primers to amplify with high taxonomic coverage the ITS1 region for further fungal sequencing, but I cannot find the exact amount necessary of each...

25 February 2021 6,969 3 View

How do you mesh a thin solid in Fluent?

Hello, I have used the shell function on SpaceClaim to create thin solids for the model I am studying. These are contained within an enclosure for my study. I chose this approach as it avoids the...

24 February 2021 8,856 3 View