Questions tagged [statistics]

Mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory and other branches of mathematics such as linear algebra and analysis.

25,262 questions
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The random size is distributed according to the normal law, which is an average of 15. Calculate this random size dispersion if it is known that the probability of gaining values ​​from the range [15; ...
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What is the explanation of Average Variance Extracted in statistical learning expression given below?

Wikipedia defines it as: average variance extracted (AVE) is a measure of the amount of variance that is captured by a construct in relation to the amount of variance due to measurement error. At my ...
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Conditional Expectation with two random variables

I have two normally distributed independent variables $A\sim N(m,v)$ and $B\sim N(n,w)$. I would like to compute the following conditional expectation: $E[A | c*A+B\geq 0].$ I cannot find an ...
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How to find the trimmed mean of an odd amount of numbers?

For a 25% trimmed mean of 50 numbers that means we have to eliminate 12.5 numbers from both the lowest rank and highest rank of the set of 50 numbers. Should I round to 13 or 12 and then do the ...
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$m$ Men and $n$ Women in a Circle

below are some questions that I would like to understand how to solve efficiently. Thanks in advance! Given $m$ men and $n$ women sitting in a circle: What is the expected number of people sitting ...
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Mean-squared prediction error why these two different representations are the same?

One representation is E[(y-g(x))^2] and other is $(1/2)m\sum_{i=1}^m (g(x^i)-y^(i))^2$ where m is number of training examples in a training set. First one is from statistical learning book, second is ...
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distribution estimation small amount of observations [on hold]

I would like to ask. If I estimate a probability distribution of two or three parameter with only a few (let's say 30 observations) what does it mean for the quality of the estimation? Thank you for ...
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