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Category Archives: statistics
An Expected Value Connection Between Order Statistics from a Discrete and a Continuous Distribution
Years ago, in the course of doing some research on another topic, I ran across the following result relating the expected values of the order statistics from a discrete and a continuous distribution. I found it rather surprising. Theorem: Fix n, and … Continue reading
Posted in order statistics, probability, statistics
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Operations Research Makes List of Top 5 STEM Professions Employing Women
My February 2016 issue of ORMS Today says that “operations research analyst” is the STEM (Science, Technology, Engineering, and Mathematics) profession with the thirdhighest percentage of women. The percentage of OR analysts who are women is 55.4%. I’m glad to see … Continue reading
Posted in gender, operations research, optimization, statistics
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Independence of the Range and Minimum of a Sample from an Exponential Distribution
A few years ago I answered a question on math.SE about the distribution of the sample range from an exponential (1) distribution. In my answer I claim that the range and the minimum of the sample are independent, thanks to the … Continue reading
Posted in probability, statistics
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Picking Random Points on a Circle (Not a Disk)
How do you select points at random on a circle? By “circle” I mean the outside of a disk, not its interior. In this post I’m going to discuss two methods: (1) Selecting an angle at random on and taking … Continue reading
Posted in probability, simulation, statistics
2 Comments
A Math Error in the New Yorker
I normally use this blog to talk about mathematical questions that interest me. However, I saw a math error in the New Yorker yesterday that I think is worth commenting on. James Surowiecki has an article (The Mobility Myth) arguing that … Continue reading
Posted in journalism, statistics
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Tail Bounds of the Normal Distribution
The question of bounding the tails of the normal distribution has popped up a couple of times on math.SE lately. This is an easytoprove but useful result, and so it’s worth talking about. The standard normal probability density function is … Continue reading
Posted in probability, statistics
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