Expected value in matlab?

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Raviteja
Raviteja 2011-3-24
How to find expected value E[X]=_____ for a given data set X ?
suppose take X=[5 7 8 4 5 2 1 0 -5 -9 0 -7 1 2 -3 -7 -9 0 1 4 2 7 5 6 1 3]
Does matlab mean() is equal to expected value E[X] ?

回答(1 个)

Andrew Newell
Andrew Newell 2011-3-24
In general, no. It depends on the statistical distribution for these numbers (see, for example, the Wikipedia article). Do you know what your distribution is?
EDIT: Suppose your distribution is that you are equally likely to have any integer from -9 to 9. That's 19 numbers. The expectation for the random number would be
E = (-9:9)/19
ans =
0
However, if you have a set of numbers like your X that are sampled from this distribution, the mean of these numbers estimates E. In this case,
mean(X)
ans =
0.9231
The estimate is, of course, not exactly equal to the expected value because the sample is random.
  2 个评论
Raviteja
Raviteja 2011-3-24
Ok, if suppose if you consider two cases,
1. Gaussian distribution
2. Uniform distribution
Then how to calculate ?
Muhammad Yasir
Muhammad Yasir 2021-8-5
how to calculate the expected value of a random matrix like this one (copied from matlab workspace):

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