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- ='''1.11 Joint Characteristic Function'''= The joint characteristic function of two joint-distributed RVs <math class="inline">\mathbf{X}</math> and <m4 KB (711 words) - 11:32, 30 November 2010
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- ...e Problem]]: Recover the probability mass function from the characteristic function = A discrete random variables X has a moment generating (characteristic) function <math>M_X(s)</math> such that1 KB (211 words) - 03:47, 27 March 2013
- ...:Category:Problem solving|Practice Problem]]: Obtain the moment generating function for an exponential random variable = Obtain the moment generating function <span class="texhtml">''M''<sub>''X''</sub>(''s'')</span> of X.2 KB (350 words) - 13:00, 27 March 2013
- = [[:Category:Problem solving|Practice Problem]]: PDF for a linear function of a random variable =2 KB (249 words) - 19:36, 27 March 2013
Page text matches
- Bayes' decision rule creates an objective function which minimizes the probability of error (misclassification). This method a Refers to the problem caused by exponential growth of hypervolume as a function of dimensionality. This term was coined by Richard Bellman in 1961.31 KB (4,832 words) - 18:13, 22 October 2010
- [[Lecture 13 - Kernel function for SVMs and ANNs introduction_Old Kiwi|13]], (Continued from [[Lecture 13 - Kernel function for SVMs and ANNs introduction_Old Kiwi]])13 KB (2,073 words) - 08:39, 17 January 2013
- ...t's simplify things. Each given differential equation can be written as a function of y. For instance, the differential equation ...d c. In this section, we are only considering differential equations whose characteristic equations have distinct, real roots. Let's call those roots r<sub>1</sub> a3 KB (527 words) - 18:10, 26 October 2009
- ...he Characteristic function of F_T(\omega) in a simple way (i.e. using prod function together with integrate). Other than that, I'll list the packages/functions ...st type “edit cov” in Matlab and then copy the whole function as a new function to your freemath program; I don’t know if it’s acceptable or not but of4 KB (596 words) - 13:17, 12 November 2010
- Bayes' decision rule creates an objective function which minimizes the probability of error (misclassification). This method a Refers to the problem caused by exponential growth of hypervolume as a function of dimensionality. This term was coined by Richard Bellman in 1961.31 KB (4,787 words) - 18:21, 22 October 2010
- According to the characteristic function of Poisson random variable3 KB (557 words) - 12:11, 25 September 2013
- ...ction)|CDF (Cumulative Distribution Function) and PDF (Probability Density Function)]] *[[ECE 600 Prerequisites Joint Characteristic Function|Joint Characteristic Function]]1 KB (139 words) - 13:13, 16 November 2010
- It is about the time until success in Poisson process. It has the characteristic of memoryless. Moment generating function5 KB (843 words) - 11:27, 30 November 2010
- 1.8.5 Characteristic function2 KB (305 words) - 11:15, 17 November 2010
- ='''1.11 Joint Characteristic Function'''= The joint characteristic function of two joint-distributed RVs <math class="inline">\mathbf{X}</math> and <m4 KB (711 words) - 11:32, 30 November 2010
- ...ass="inline">\mathbf{X}\left(t,\omega\right)</math> that is called sample function. ...="inline">\omega_{0}\in\mathcal{S}</math> is a function of time or sample function.16 KB (2,732 words) - 11:47, 30 November 2010
- ...c function)|Two jointly distributed random variables (Joint characteristic function)]]1 KB (188 words) - 11:57, 30 November 2010
- ...th> be a random variable with mean 2 , variance 8 , and moment generating function <math class="inline">\phi_{\mathbf{X}}\left(s\right)=E\left\{ e^{s\mathbf{X Find the characteristic function <math class="inline">\Phi\left(\omega\right)</math> of an exponentially di22 KB (3,780 words) - 07:18, 1 December 2010
- (a) Find the probability mass function (pmf) of <math class="inline">\mathbf{M}</math> . This is the characteristic function of Binomial with probability pr .12 KB (2,205 words) - 07:20, 1 December 2010
- ...e^{-A\left|x\right|}\text{ where }A>0.</math> Determine its characteristic function. ...If <math class="inline">R\left(\tau\right)</math> is the autocorrelation function of <math class="inline">\mathbf{X}\left(t\right)</math> , prove the followi7 KB (1,192 words) - 08:22, 27 June 2012
- Find the probability mass function (pmf) of <math class="inline">\mathbf{Z}</math> . Find the conditional probability mass function (pmf) of <math class="inline">\mathbf{X}</math> conditional on the event <10 KB (1,827 words) - 08:33, 27 June 2012
- ...he lower left corner of the unit square). Find the cumulative distribution function (cdf) <math class="inline">F_{\mathbf{X}}\left(x\right)=P\left(\left\{ \mat which is the characteristic function of a Gaussian random variable with mean <math class="inline">a\mu_{\mathbf{10 KB (1,652 words) - 08:32, 27 June 2012
- ...class="inline">\left|\rho\right|<1</math> . Find the joint characteristic function <math class="inline">E\left[e^{i\left(h_{1}\mathbf{X}+h_{2}\mathbf{Y}\right • Now, we can get the joint characteristic function <math class="inline">\Phi_{\mathbf{X}\mathbf{Y}}\left(\omega_{1},\omega_{2}6 KB (916 words) - 08:26, 27 June 2012
- Find the probability density function of <math class="inline">\mathbf{Y}=\max\left\{ \mathbf{X}_{1},\cdots,\mathb Find the probability density function of <math class="inline">\mathbf{Z}=\min\left\{ \mathbf{X}_{1},\cdots,\mathb14 KB (2,358 words) - 08:31, 27 June 2012
- ...X}</math> is a binomial distributed random variable with probability mass function (pmf) given by <math class="inline">p_{n}\left(k\right)=\left(\begin{array} ...line">\mathbf{X}</math> . (You must show how you derive the characteristic function.)10 KB (1,754 words) - 08:30, 27 June 2012
