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Mathematical theory of statistics, concerned with formal definitions and general results.

17 votes
1 answer
10k views

Question about sample autocovariance function

I'm reading a time series analysis book and the formula for sample autocovariance is defined in the book as: $$\widehat{\gamma}(h) = n^{-1}\displaystyle\sum_{t=1}^{n-h}(x_{t+h}-\bar{x})(x_t-\bar{x})$ …
jjepsuomi's user avatar
  • 5,907
2 votes
Accepted

The derivation of the Mahalanobis distance formula

I got answered to a similar question (regarding ellipsoids) on math.stackexchange which covers this question: https://math.stackexchange.com/questions/428064/distance-of-a-test-point-from-the-center- …
jjepsuomi's user avatar
  • 5,907
3 votes
1 answer
3k views

The derivation of the Mahalanobis distance formula [closed]

I recently asked about the Mahalanobis distance and I got pretty good answers in this post: Bottom to top explanation of the Mahalanobis distance? I think I got the idea, but what I still felt miss …
jjepsuomi's user avatar
  • 5,907
18 votes
3 answers
12k views

Book recommendations for beginners about probability distributions

I'm studying machine learning and every book I open I bump into chi-squared distribution, gamma-function, t-distribution, Gaussian, etc. Every book I have opened so far only defines what the distrib …
1 vote
1 answer
40 views

The interpretation of the term "uncertainty" in statistics vs. information theory vs. machin...

I have an ensemble model consisting from multiple classifiers and I wish to quantify the uncertainty of the predictions the ensemble model makes. From an information theory / machine learning perspect …
jjepsuomi's user avatar
  • 5,907
187 votes
10 answers
126k views

Bottom to top explanation of the Mahalanobis distance?

I'm studying pattern recognition and statistics and almost every book I open on the subject I bump into the concept of Mahalanobis distance. The books give sort of intuitive explanations, but still no …
jjepsuomi's user avatar
  • 5,907