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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.

2 votes
1 answer
37 views

Optimising unrounding using maximum likelihood

I have a bunch of rounded random independent numbers. I want to replace them with unrounded numbers such that the unrounded numbers are 'most likely' to have been generated by some (continuous) distri …
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2 votes
1 answer
29 views

Create samples that are the same when unordered, but have some specific correlation when ord...

I have 100,000 random samples (with replacement) X_i from an otherwise unknown distribution. I want to create a series Y_i that is the same as X_i except for the ordering and gives a correlation betw …
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117 votes
6 answers
29k views

How often does it happen that the oldest person alive dies?

Today, we are brought the sad news that Europe's oldest woman died. A little over a week ago the oldest person in the U.S. unfortunately died. Yesterday, the Netherlands' oldest man died peacefully. T …
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4 votes
3 answers
1k views

How does one 'correct' a table that doesn't add up to $100\%$?

I have a table consisting of a number of whole percentages $x_i$ between $0\%$ and $100\%$. However, they don't add up to $100\%$ (rather they add up to $101\%$). But they 'should'. Assuming that any …
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