• ...other examples: [[MLE_Examples:_Binomial_and_Poisson_Distributions_OldKiwi|Binomial and Poisson distributions]] '''Exponential Distribution'''
    3 KB (446 words) - 10:00, 23 April 2012
  • Assume that <math class="inline">\mathbf{X}</math> is a binomial distributed random variable with probability mass function (pmf) given by < ...bf{X}_{1},\mathbf{X}_{2},\cdots,\mathbf{X}_{n},\cdots</math> converges in distribution to a Poisson random variable having mean <math class="inline">\lambda</math
    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
  • # 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
  • In this slecture, the author details the method of MLE on different specific distribution and conclude the final expression on how to estimate each of them. ...sented which helps student to understand how to apply general MLE on a new distribution. This slecture also summerizes the final useful expression of estimation fo
    2 KB (235 words) - 10:25, 5 May 2014
  • ...own. Clearly the probability mass function for this experiment is binomial distribution with<br>sample size equal to 80, number of successes equal to 49 but differ ...rge data samples (large N) the likelihood function L approaches a Gaussian distribution
    25 KB (4,187 words) - 10:49, 22 January 2015
  • ...amples of MLE for the parameters of the Gaussian distribution and Binomial distribution. In summary, this slecture gives us a very clear definition and examples of
    1 KB (176 words) - 20:35, 28 April 2014
  • ...ose that we have an observable random variable X for an experiment and its distribution depends on unknown parameter θ taking values in a parameter space Θ. The ...parameter θ is viewed as a random variable or random vector following the distribution p(θ ). Then the probability density function of X given a set of observati
    15 KB (2,273 words) - 10:51, 22 January 2015
  • ...c Distribution, Binomial Distribution, Poisson Distribution, and Uniform Distribution ** Exponential Distribution
    12 KB (1,986 words) - 10:49, 22 January 2015
  • ...a to be classified. ``Non-parametric" methods eschew assumptions about the distribution of data to varying degrees, thus circumventing some of the issues associate ...experimenter's data. Without a substantial amount of information about the distribution of data (and conditional distributions of data belonging to each class) it
    16 KB (2,703 words) - 10:54, 22 January 2015
  • if the parameter has a discrete distribution, or if the parameter has a continuous distribution. Finally, according to Bayes rule, the conditional probability density func
    10 KB (1,600 words) - 10:52, 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
  • First of all, the conditional distribution can be written as: ...through the lens of Bayes' Theorem. As such, we can write the conditional distribution as
    4 KB (851 words) - 23:04, 31 January 2016
  • '''(a)''' Find the cumulative distribution function (cdf) of <math>\mathbf{X}</math>.<br> '''(b)''' Find the probability distribution function (pdf) of <math>\mathbf{X}</math>.<br>
    3 KB (502 words) - 15:33, 19 February 2019
  • *[[page_6|Bernoulli Trials and Binomial Distribution]]
    414 B (50 words) - 00:39, 3 December 2018
  • *Probability mass function for the binomial distribution [Digital image]. (2008, March 2). Retrieved December 1, 2018, from https:// *Weisstein, E. W. (n.d.). Binomial Distribution. MathWorld--A Wolfram Web Resource. Retrieved December 1, 2018, from http:/
    3 KB (453 words) - 00:52, 3 December 2018
  • === Bernoulli Trials and Binomial Distribution === <big>Binomial Distribution</big><br>
    7 KB (1,183 words) - 00:53, 3 December 2018
  • ...ce of how <math>e</math> relates to probability, specifically the binomial distribution. Now, we will consider its relationship with derangements and will explain
    1 KB (241 words) - 23:16, 2 December 2018
  • ...ce of how <math>e</math> relates to probability, specifically the binomial distribution. Now, we will consider its relationship with derangements and will explain This now demonstrates how, just as with the Binomial Distribution, <math>e</math> appears in relatively unexpected locations, and now that we
    6 KB (996 words) - 00:53, 3 December 2018

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Alumni Liaison

Recent Math PhD now doing a post-doctorate at UC Riverside.

Kuei-Nuan Lin