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- 12:04, 23 November 2010 (diff | hist) . . (+2,693) . . N ECE 600 Exams Sequence of binomially distributed random variables (New page: =Example. Sequence of binomially distributed random variables= Let <math>\left\{ \mathbf{X}_{n}\right\} _{n\geq1}</math> be a sequence of binomially distributed random variables, with th...)
- 12:04, 23 November 2010 (diff | hist) . . (-6) . . ECE 600 Exams
- 12:02, 23 November 2010 (diff | hist) . . (+2,693) . . N ECE 600 Exams Secquence of binomially distributed random variables (New page: =Example. Sequence of binomially distributed random variables= Let <math>\left\{ \mathbf{X}_{n}\right\} _{n\geq1}</math> be a sequence of binomially distributed random variables, with th...) (current)
- 12:01, 23 November 2010 (diff | hist) . . (+4,083) . . N ECE 600 Exams Geometric random variable (New page: =Example. Geometric random variable= Let <math>\mathbf{X}</math> be a random variable with probability mass function <math>p_{\mathbf{X}}\left(k\right)=\alpha\left(1-\alpha\right)^{k-1}...)
- 12:01, 23 November 2010 (diff | hist) . . (+2,251) . . N ECE 600 Exams Two jointly distributed random variables (Joint characteristic function) (New page: =Example. Two jointly distributed random variables (Joint characteristic function)= Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be tweo jointly distributed random variables ...)
- 12:00, 23 November 2010 (diff | hist) . . (+4,492) . . N ECE 600 Exams Two jointly distributed independent random variables (New page: =Example. Two jointly distributed independent random variables= Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be two jointly distributed, independent random variables. The pdf...)
- 11:59, 23 November 2010 (diff | hist) . . (+2,127) . . N ECE 600 Exams Two jointly distributed random variables (New page: =Example. Two jointly distributed random variables= Two joinly distributed random variables <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> have joint pdf <math>f_{\mathbf{XY}}\lef...)
- 11:57, 23 November 2010 (diff | hist) . . (+2,680) . . N ECE 600 Exams Addition of two jointly distributed Gaussian random variables (New page: =Example. Addition of two jointly distributed Gaussian random variables= Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be two jointly distributed Gaussian random variables. As...)
- 11:57, 23 November 2010 (diff | hist) . . (+6,104) . . N ECE 600 Exams Addition of two independent Gaussian random variables (New page: =Example. Addition of two independent Gaussian random variables= <math>\mathbf{X}\sim\mathcal{N}\left(0,\sigma_{\mathbf{X}}^{2}\right),\;\mathbf{N}\sim\mathcal{N}\left(0,\sigma_{\mathbf{N...)
- 11:56, 23 November 2010 (diff | hist) . . (+1,982) . . ECE 600 Exams Addition of two independent Poisson random variables
- 11:54, 23 November 2010 (diff | hist) . . (+737) . . N ECE 600 Exams Addition of two independent Poisson random variables (New page: Example. Addition of two independent Poisson random variables Let where and are independent Poisson random variables with means λ and μ , respectively. (a) Find the pmf of . Ac...)
- 11:54, 23 November 2010 (diff | hist) . . (+1) . . ECE 600 Exams
- 11:53, 23 November 2010 (diff | hist) . . (+1) . . ECE 600 Exams
- 11:53, 23 November 2010 (diff | hist) . . (+1,611) . . ECE 600 Exams
- 11:41, 23 November 2010 (diff | hist) . . (+39) . . ECE600 QE 2001 January
- 11:37, 23 November 2010 (diff | hist) . . (+22) . . ECE600 QE 2000 August
- 11:36, 23 November 2010 (diff | hist) . . (+1) . . ECE600 QE 2000 August
- 11:35, 23 November 2010 (diff | hist) . . (+79) . . ECE600 QE 2000 August
- 11:25, 23 November 2010 (diff | hist) . . (+10,584) . . ECE600 QE 2008 August
- 10:39, 23 November 2010 (diff | hist) . . (+8,827) . . ECE600 QE 2007 August
- 10:22, 23 November 2010 (diff | hist) . . (+65) . . N ECE600 QE 2008 August (New page: ---- Back to ECE600 Back to ECE 600 QE)
- 10:22, 23 November 2010 (diff | hist) . . (+67) . . N ECE600 QE 2007 August (New page: ---- Back to ECE600 Back to ECE 600 QE)
- 10:21, 23 November 2010 (diff | hist) . . (+3,154) . . ECE600 QE 2006 August
- 07:26, 23 November 2010 (diff | hist) . . (+195) . . ECE600 QE 2006 August
- 07:20, 23 November 2010 (diff | hist) . . (+9,284) . . N ECE600 QE 2006 August (New page: ==7.12 QE 2006 August== 1 Let <math>\mathbf{U}_{n}</math> be a sequence of independent, identically distributed zero-mean, unit-variance Gaussian random variables. The sequence <math>\m...)
- 07:07, 23 November 2010 (diff | hist) . . (+8,376) . . N ECE600 QE 2006 January (New page: ==7.11 QE 2006 January== 1 (33 points) Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be two joinly distributed random variables having joint pdf <math>f_{\mathbf{XY}}\left(...)
- 06:42, 23 November 2010 (diff | hist) . . (+60) . . ECE600 QE 2005 August
- 06:41, 23 November 2010 (diff | hist) . . (-1) . . ECE600 QE 2005 August
- 06:40, 23 November 2010 (diff | hist) . . (+9) . . ECE600 QE 2005 August
- 06:38, 23 November 2010 (diff | hist) . . (+8,668) . . N ECE600 QE 2005 August (New page: ==7.10 QE 2005 August== 1. (30 Points) Assume that <math>\mathbf{X}</math> is a binomial distributed random variable with probability mass function (pmf) given by <math>p_{n}\left(k\rig...)
- 06:05, 23 November 2010 (diff | hist) . . (+12,604) . . N ECE600 QE 2004 August (New page: ==7.9 QE 2004 August== '''1. (20 pts.)''' A probability space <math>\left(\mathcal{S},\mathcal{F},\mathcal{P}\right)</math> has a sample space consisting of all pairs of positive intege...)
- 05:37, 23 November 2010 (diff | hist) . . (+4) . . ECE600 QE 2004 January
- 05:36, 23 November 2010 (diff | hist) . . (-22) . . ECE600 QE 2004 January
- 05:36, 23 November 2010 (diff | hist) . . (+1) . . ECE600 QE 2004 January
- 05:35, 23 November 2010 (diff | hist) . . (+34) . . ECE600 QE 2004 January
- 05:33, 23 November 2010 (diff | hist) . . (+6,360) . . N ECE600 QE 2004 January (New page: ==7.8 QE 2004 January== '''1. (30 pts.)''' This question consists of two separate short questions relating to the structure of probability space: '''(a)''' Assume that <math>\mathcal{S...)
- 05:19, 23 November 2010 (diff | hist) . . (0) . . N File:Pasted21.png (current)
- 05:18, 23 November 2010 (diff | hist) . . (0) . . N File:Pasted40.png (current)
- 05:18, 23 November 2010 (diff | hist) . . (+8,745) . . N ECE600 QE 2003 August (New page: ==7.7 QE 2003 August== '''1. (15% of Total)''' This question is a set of short-answer questions (no proofs): '''(a) (5%)''' State the definition of a Probability Space. '''Answer''' ...)
- 04:44, 23 November 2010 (diff | hist) . . (+4,764) . . N ECE600 QE 2003 January (New page: ==7.6 QE 2003 January== '''Problem 1 (30 points)''' '''i)''' Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be jointly Gaussian (normal) distributed random variables with mea...)
- 12:32, 22 November 2010 (diff | hist) . . (+135) . . ECE 600 General Concepts of Stochastic Processes The Power Spectrum
- 12:31, 22 November 2010 (diff | hist) . . (+135) . . ECE 600 General Concepts of Stochastic Processes Systems with Stochastic Inputs
- 12:31, 22 November 2010 (diff | hist) . . (+135) . . ECE 600 General Concepts of Stochastic Processes Definitions
- 12:29, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Random Sum
- 12:29, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Central Limit Theorem
- 12:29, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Strong law of large numbers (Borel)
- 12:29, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Weak law of large numbers
- 12:29, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Chebyshev Inequality
- 12:28, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Convergence
- 12:25, 22 November 2010 (diff | hist) . . (+1,803) . . ECE600 QE 2002 August
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