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Questions related to Probability Theory
Let \a = (a_1,a_2,...) \in {0,1,2}^\N be a 3m-periodic sequence (i.e., a_{j+3m}=a_j for all j\in\N). ASSUME that # {1 \le r \le 3m : a_r = i}=m for i=0,1, and 2 (i.e. the 0's, 1's, and 2's appear...
12 December 2015 3,592 1 View
I'm currently reading this article: "R. Sujatha, T. Rajalaxmi, and B. Praba, "Fuzzy Hidden Markov Chain For Web Applications," International Journal of Information Technology & Decision...
12 December 2015 9,908 3 View
In what conditions separability of Tychonoff space is hereditary with respect to dense subspaces?
12 December 2015 5,206 0 View
P_(\tau)(X) is the space of probability \tau-smooth measures. Attached file is T.Banakh's paper "The topology of spaces of probability measures I". In the paper theorem 1.15 states...
12 December 2015 8,780 0 View
Could it be that the "mystery of quantum entanglement and quantum non-locality" is just failing to distinguish between limit theorems for independent or dependent variables? I do not think that...
11 November 2015 5,846 0 View
How could you show that the Nakagami density integrates to 1?
11 November 2015 4,473 2 View
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...
10 October 2015 9,779 6 View
What is the relation between h(AxB, CxD) , h(A,C) and h(B, D), where A,C and B,D are compact subsets of complete metric space (X,d) and h is the usual Hausdorff distance between two sets? Of...
10 October 2015 10,049 2 View
How can I differ optimal guaranteed Cost Control with optimal control? Yurong Liu, Department of Mathematics, China.
10 October 2015 9,720 6 View
05 October 2015 2,143 5 View
Dear friends, I search solution of the following problem. I have a probability box as initial data and I need to generate samples from it: no exact distribution is given; all that is known is...
23 August 2015 2,847 2 View
In the attached paper page 206, the author gave an example when the prior and posterior probabilities can provide invalid probabilities. The example is as follows Let us suppose that X1...
20 August 2015 8,989 3 View
For a given pdf function f(x) defined in [0,1], which is monotonically increasing and convex, I need to find a probability generation (polynomial) function Q(x) of a maximum degree D, where its...
12 August 2015 972 13 View
08 August 2015 440 14 View
How jsd (jensen shannon divergence) calculates the difference between shuffled version and original version for a text with box counting method while jsd can NOT distinguish between them?
08 August 2015 5,764 0 View
Currently i am working a paper related copula theory and martingale, So Can anyone recommend and resources for an copulas with martingale?
26 June 2015 9,845 1 View
I was working on 2 papers on statistics when I recalled a study I’d read some time ago: “On ‘Rethinking Rigor in Calculus...,’ or Why We Don't Do Calculus on the Rational Numbers’”. The answer is...
24 June 2015 8,222 84 View
06 June 2015 4,284 2 View
probability distribution and fuzzy sets might be required.
06 June 2015 1,235 1 View
06 June 2015 8,016 85 View
Hi, I meet a problem on large deviation, see the document attached. I need to bound the probability of certain events, and I have provided a (kind of tedious and stupid) proof for it. The...
15 May 2015 4,205 6 View
Binomial Distribution: C(M,N) p^L (1-p)^(M-N) Poisson's Binomial Distribution (PBD) : p_i are different Hyper geometric : Prob ( n success in m trials, given N success in...
05 May 2015 10,175 11 View
05 May 2015 10,153 10 View
I have a matrix 'A' with dimensions MXN and I want to calculate the pairwise Symmetrical uncertainty (SU) matrix. The problem is that some variables have infinite entropy (H) value which results...
29 April 2015 6,098 5 View