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3 votes
0 answers
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prior distribution for iid gaussian, with a known variance

I have been reading Pattern Recognition and Machine Learning by Bishop, and I have a question regarding the prior distribution of an iid Gaussian with known variance. The relationship $\dfrac{n}{\...
cgo's user avatar
  • 9,317
0 votes
0 answers
44 views

PRML: Why does the sequential estimation algorithm of normal parameters use $X_N$ but $X_{n-1}$?

I'm reading sequential estimation section 2.3.5 PRML where Bishop introduces Robbins-Monro algorithm to calculate the root of $f(\theta) = E z | \theta = \int zp(z|\theta) dz, (z, \theta) \sim p(z, \...
Chia's user avatar
  • 43
1 vote
2 answers
1k views

Sequential Bayesian updating of mean and variance of normal distribution

I am trying to write some code to learn the parameters of a normal distribution. I am new to this, and I have patched together the equations from various sources, which may be part of the problem. In ...
Max Montana's user avatar
5 votes
1 answer
4k views

How many samples do I need to estimate a gaussian distribution?

Background: I'm comparing the performance of two algorithms. The data is noisy so the results tend to form a nice normal distribution. I'd like to estimate the mean with a high confidence: up to 1% ...
Alex B's user avatar
  • 51
0 votes
1 answer
80 views

How to compute expected value?

Hi I am trying to compute this: It's a denominator of ANS function in sequential statistics.The result is: I set "sigma1"=1 and "mi" is considered as a constant.Do you have any idea how to get the ...
J.Doe's user avatar
  • 3