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18.440: Lecture 18 Uniform random variables

18.440: Lecture 18 Uniform random variables

ocw.mit.edu

Uniform random variables and percentiles. Toss n = 300 million Americans into a hat and pull one out. uniformly at random. Is the height of the person you choose a uniform random variable? Maybe in an approximate sense? No. Is the percentile of the person I choose uniformly random? In. other words, let p be the fraction of people left in the hat

  Uniform, Variable, Random, Uniform random variables, Uniform random

Chapter 2 The Maximum Likelihood Estimator

Chapter 2 The Maximum Likelihood Estimator

web.stat.tamu.edu

Example 2.2.1 (The uniform distribution) Consider the uniform distribution, which has the density f(x; )= 1I [0, ](x). Given the iid uniform random variables {X i} the likelihood (it is easier to study the likelihood rather than the log-likelihood) is L n(X n; )= 1 n Yn i=1 I [0, ](X i). Using L n(X n

  Uniform, Maximum, Variable, Estimator, Random, Likelihood, Maximum likelihood estimator, Uniform random variables

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