Recent content by m26k9
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Graduate What Is the Mean of the Maximum of Independent Chi-square RVs?
Thank you very much David and Bpet. The problem I had was to evaluate the integral and was thinking if there is a commonly known closed-form expression for f_{X_{(n)}}(x). I guess I have to do with the recursive one. Thank you again guys.- m26k9
- Post #8
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate What Is the Mean of the Maximum of Independent Chi-square RVs?
Thank you very much David. I'm not sure what you meant by but the PDF and CDF must be of Chi-square not of exponentials? Because of the exponentials I could not find a closed-from expression there is a pattern and I could find a recursive solution. Could you please explain a bit what you...- m26k9
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate What Is the Mean of the Maximum of Independent Chi-square RVs?
Thank you bpet. Yes I want to find E[X_{MAX}]. Sorry for the mistake. I will search for Harmonicanumber. Havent heard of it before. Cheers.- m26k9
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate What Is the Mean of the Maximum of Independent Chi-square RVs?
Hello, I am trying to find the distribution of the maximum of a set of independed Chi-square RV's with 2-degrees of freedom. Actually I only want to find the MEAN value. I am using the following formula to find the PDF. f_{X_{\mathsf{max}}}(x) = NF_X(x)^{N-1}f_X(x) Following PDF and CDF...- m26k9
- Thread
- Maximum
- Replies: 8
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Probability density function afterring
Probability density function after filtering Hello, I am trying to find how a random variable will transform once gone through a filter. For example, I have a random sequence x(t), going through a filter h(t). Thus, y(t) = x(t)*h(t) ; % '*' is convolution. Now I want to find out how...- m26k9
- Thread
- Density Density function Function Probability Probability density Probability density function
- Replies: 1
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Solving a linear set of unknown Vectors
Hello, I am trying to find a mathematical procedure for finding the solutions for a linear set of vector equations. For example I have; Ax + By = P (1) Cx + Dy = Q (2) Here, A,B,C,D,x and y are all Nx1 vectors. So I need to solve for two Nx1 vectors. For a general linear equations...- m26k9
- Thread
- Linear Set Vectors
- Replies: 1
- Forum: Linear and Abstract Algebra
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Undergrad Matrix multiplication: Communicative property.
Sorry guys. Yes, if I am using say A is a (1xM) vector, it cannot be commutative. My mistake. Actually I am AxB and BxA', conjugate of A. So this is not commutation anymore? If this is the case, that means matrix multiplication properties cannot be applied, unless I put my vector entries...- m26k9
- Post #11
- Forum: Linear and Abstract Algebra
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Undergrad Matrix multiplication: Communicative property.
Thanks a lot for the replies guys. I am multiplying a (1xM) vector with the (MxM) unitary matrix. For the few random matrices I tried, it seems to be commutative. Atleast for the DFT matrix (Vandermond) I tried. I want to know if there is any property talking about this scenario. Thank...- m26k9
- Post #7
- Forum: Linear and Abstract Algebra
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Undergrad Matrix multiplication: Communicative property.
Matrix multiplication: Commutative property. Hello, First time poster. I have got a question about commutative property of matrix multiplication. Literature says that matrix multiplication is communicative only when the two matrices are diagonal. But, I have a situation with an...- m26k9
- Thread
- Matrix Matrix multiplication Multiplication Property
- Replies: 10
- Forum: Linear and Abstract Algebra