• ...\{ \mathbf{X}_{n}\right\} _{n\leq1}</math> converges in distribution to a Poisson random variable <math class="inline">\mathbf{X}</math> with mean <math cla ...ine">n\rightarrow\infty</math> , which is the characteristic function of a Poisson random variable with mean <math class="inline">\lambda</math> .
    3 KB (539 words) - 12:14, 30 November 2010
  • | <math> F- </math> distribution | Poisson <math> P(\lambda) </math>
    6 KB (851 words) - 15:34, 23 April 2013
  • ...Binomial and Poisson Distributions_Old Kiwi|Examples of MLE: Binomial and Poisson Distributions]] ...es: Binomial and Poisson Distributions_OldKiwi|[MLE Examples: Binomial and Poisson Distributions]]
    10 KB (1,472 words) - 11:16, 10 June 2013
  • ...we talked about Maximum Likelihood Estimation (MLE) of the parameters of a distribution. ...ples:_Binomial_and_Poisson_Distributions_OldKiwi|MLE example: binomial and poisson distributions]]
    2 KB (196 words) - 09:54, 23 April 2012
  • =Maximum Likelihood Estimation (MLE) example: Bernouilli Distribution= === Poisson Distribution ===
    2 KB (310 words) - 09:58, 23 April 2012
  • ...s: [[MLE_Examples:_Binomial_and_Poisson_Distributions_OldKiwi|Binomial and Poisson distributions]] '''Exponential Distribution'''
    3 KB (446 words) - 10:00, 23 April 2012
  • ...\{ \mathbf{X}_{n}\right\} _{n\geq1}</math> converges in distribution to a Poisson random variable <math class="inline">\mathbf{X}</math> with mean <math cla ...mathbf{Y}_{3},\cdots</math> converge in distribution? If yes, what is the distribution of the random variable it converges to?
    5 KB (763 words) - 10:57, 10 March 2015
  • ...the origin (the lower left corner of the unit square). Find the cumulative distribution function (cdf) <math class="inline">F_{\mathbf{X}}\left(x\right)=P\left(\le ...stars within a galaxy is accurately modeled by a 3-dimensional homogeneous Poisson process for which the following two facts are known to be true:
    5 KB (766 words) - 00:16, 10 March 2015
  • ...applied to <math class="inline">\mathbf{Y}</math> will yield the desired distribution for <math class="inline">\mathbf{X}</math> ? Prove your answer. ...at the origin. You must quote, but do not have to prove, properties of the Poisson process that you use in your solutions to the following questions:
    5 KB (729 words) - 00:51, 10 March 2015
  • ...X}_{2},\cdots,\mathbf{X}_{n},\cdots</math> converges in distribution to a Poisson random variable having mean <math class="inline">\lambda</math> . Consider a homogeneous Poisson point process with rate <math class="inline">\lambda</math> and points (ev
    4 KB (609 words) - 01:54, 10 March 2015
  • *3.3 The cumulative distribution function of a random variable (discrete or continuous) *4.4 The Poisson Random Process and its relationship to Binomial Counting
    4 KB (498 words) - 10:18, 17 April 2013
  • '''Applications of Poisson Random Variables''' == Poisson Random Variables==
    5 KB (708 words) - 07:22, 22 April 2013
  • # the cumulative distribution function (cdf) '''Definition''' <math>\quad</math> The '''cumulative distribution function (cdf)''' of X is defined as <br/>
    15 KB (2,637 words) - 12:11, 21 May 2014
  • ...c Distribution, Binomial Distribution, Poisson Distribution, and Uniform Distribution ** Exponential Distribution
    12 KB (1,986 words) - 10:49, 22 January 2015
  • In the circumstance, a naive assumption about the class distribution helps us synthesize data so that we can train models with a consistent data Among many distributions, Normal distribution is frequently used in many literatures.
    16 KB (2,400 words) - 23:34, 29 April 2014
  • ...n train models with a consistent dataset. Among many distributions, Normal distribution is frequently used in many literatures. This tutorial will explain how to g # Normal distribution : How it work? Which is more efficient?
    18 KB (2,852 words) - 10:40, 22 January 2015
  • ...ity distribution, MLE provides the estimates for the parameters of density distribution model. In real estimation, we search over all the possible sets of paramete ...o use MLE is to find the vector of parameters that is as close to the true distribution parameter value as possible.<br>
    13 KB (1,966 words) - 10:50, 22 January 2015
  • ...stars within a galaxy is accurately modeled by a 3-dimensional homogeneous Poisson process for which the following two facts are known to be true: ...number of starts in a region of volume <math class="inline">V</math> is a Poisson random variable with mean <math class="inline">\lambda V</math> , where <ma
    2 KB (384 words) - 00:22, 10 March 2015
  • ...at the origin. You must quote, but do not have to prove, properties of the Poisson process that you use in your solutions to the following questions: Given that a node is in the circle C , determine the density or distribution function of its distance <math class="inline">\mathbf{D}</math> from the o
    3 KB (414 words) - 00:55, 10 March 2015
  • ...except that it deals with the exponential random variable rather than the Poisson random variable. ...ion of the [[ECE 600 Prerequisites Continuous Random Variables|exponential distribution]], <math class="inline">f_{\mathbf{X}}\left(x\right)=\frac{1}{\mu}e^{-\frac
    2 KB (366 words) - 01:36, 10 March 2015

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Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva