Probability Theory

What is Chernoff's bound in probability theory?

What does moment generating function mean in it?

05 May 2013 9,466 4 View

Differential Modelling?

How can I estimate the probability of a population reaching some size in the next step, considering that my population size follows a differential model, let's say dP/dt = cP(1-P/K); where c is...

04 April 2013 3,292 1 View

Compute the number of path from a node to a different one in a weighted undirected connected 3-regular graph.

The graph is a weighted undirected connected 3-regular graph. The number of nodes is N. For each node there is one loop with weight $= \frac{1}{N}, and two other edges which goes from the node to...

03 March 2013 7,574 4 View

Cumulants and moments for the multivariate distribution.

The cumulants are related to the moments by a recursive formula for a univariate distribution. Is there a similar formula for the multivariate case? I'm interesting in the multivariate normal...

03 March 2013 8,358 3 View

Difference between distribution and Process?

Currently I am reading about stochastic processes. I cannot understand how one can extend distribution to a process (like a particular example is Poisson distribution and Process). But can we...

03 March 2013 2,099 9 View

Q-Q Plot and P-P Plot

What is the interpretation of Q-Q plot? How it is different from a P-P plot?

02 February 2013 7,655 6 View

What is the nth order moment of type III generalized logistic distribution?

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02 February 2013 3,833 1 View

Is shannon entropy H a measure?

Let Σ be a σ-algebra over a set X. A function μ from Σ to the extended real number line is called a MEASURE if it satisfies the following properties: (1) μ(e_i) >= 0 for e_i in Σ (2) μ(e_i ∪ e_j)...

05 March 2012 4,008 19 View

Is shannon entropy H a measure?

Let Σ be a σ-algebra over a set X. A function μ from Σ to the extended real number line is called a MEASURE if it satisfies the following properties: (1) μ(e_i) >= 0 for e_i in Σ (2) μ(e_i ∪ e_j)...

03 March 2012 5,619 20 View

How probability can be applied in MBA

Applications of probability in MBA

12 December 2011 6,227 0 View

Can advise on how to apply Gillespie's stochastic simulation algorithm?

I'm using SSA on the simulation of a pure breakage process with exponential kernel function. SSA needs to set an initial number of particles, N. This N will be increasing during simulation. I'd...

01 January 1970 4,997 0 View

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01 January 1970 4,654 0 View

How helpful spiritual intelligence in management and business.

suggest with probable theories and examples

01 January 1970 8,128 5 View

Are dates correct?

I don't know if this is fallacy or not. But how did they know today's date is right by universe? Are we in 21st century for real? Or is it wrong? But this seems tricky. On auspicious dates...

01 January 1970 10,028 1 View

Is it a problem that Bayesian inference seems brittle?

I've been thinking about this topic for a while. I admit that I still need to do more work to fully understand the full implications of the problem, but On the Brittleness of Bayesian Inference...

01 January 1970 2,999 31 View

Does anyone know whether a mathematica allows one plot a function over the unit 2 probability simplex or unit 3 tetrahedron probability simplex

 I was wondering if someone knows whether Mathematica allows one to plot another 'probability function over the unit 2 simplex (it can be expressed as a function of two arguments subject to...

01 January 1970 5,483 4 View

Quiggin chew 'anticipated utility probability functional?

Does quiggin's and   chew logarithmic function satisfy the properties in my question, earlier. If so would want to avoid it. See page 59 and 60 in See page 59 and 60 of Quiggin's, rank dependent...

01 January 1970 9,587 0 View

In how many ways can we arrange aa...ax_{1}x_{2}...x_{n}bb...b in such a way that a and b are not next to each other? number of (a)=r and number(b)=k?

their are r number of a's and k number of b's

01 January 1970 8,270 0 View

Goal statement is complete?

Dear Professor, i would like to know if your goal is complete, it says... How probability theory, stochastic processes, optimization (deterministic or stochastic) and statistics model financial...

01 January 1970 9,678 0 View

Is there a distinction between Strong representations trichotomous (unambigious forms)<|=> form and \geq form where both are considered complete

Is there a distinction between strong representations and the unique-ness properties that strong representations of probability representations of  (1)type P\leq Q iff Pr(Q)\leq PR(M) often under...

01 January 1970 2,716 3 View

Orthogonal complement in quantum mechanics,orthonormal bases

Is the ortho-complement of a proposition, in quantum logic/probability or hilbert space, the logical comple-ment of a proposition such as 'spin up at direction x and 'spin down in direction...

01 January 1970 3,584 2 View