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About the Author

David J. Hand is emeritus professor of mathematics and senior research investigator at Imperial College London. His many books include Statistics: A Very Short Introduction.

Includes the name: D. J. Hand

Works by David J. Hand

Statistics: A Very Short Introduction (2008) 281 copies, 4 reviews
Principles of Data Mining (2001) 91 copies
Biplots (1995) 2 copies

Associated Works

Intelligent Data Analysis (1999) — Editor, some editions — 74 copies

Tagged

Common Knowledge

Birthdate
1950
Gender
male
Occupations
statistician
Short biography
rofessor David Hand is Senior Research Investigator and Emeritus Professor of Mathematics at Imperial College, London, where he formerly held the Chair in Statistics. He is also Chief Scientific Advisor to Winton Capital Management. He is a Fellow of the British Academy, and an Honorary Fellow of the Institute of Actuaries, and has served (twice) as President of the Royal Statistical Society. He is a non-executive director of the UK Statistics Authority, and is Chair of the Board of the UK Administrative Data Research Network. He has published 300 scientific papers and 28 books, including Principles of Data Mining, Information Generation, Measurement Theory and Practice, The Improbability Principle, and The Wellbeing of Nations. In 2002 he was awarded the Guy Medal of the Royal Statistical Society, and in 2012 he and his research group won the Credit Collections and Risk Award for Contributions to the Credit Industry. He was awarded the George Box Medal in 2016. In 2013 he was made OBE for services to research and innovation.
http://www.imperial.ac.uk/people/d.j....

Members

Reviews

10 reviews
The Improbability Principle by David Hand This is a an understandable explanation of basic probability principles like the Law of Large numbers, and the effects of small changes in assumptions upon probabilities. He reviews several odd and miraculous occurences and explains how although they are improbable, they are not impossible. Establishing and explaining these principles, he then tackles the improbabilities involved in life, the universe, and evolution. He explains how evolution works, show more with many small steps achieving a big change. He also tackles the Anthropic principle, which states this universe's laws are necessary for life and humanity to exist.

Overall, this is a good, accessible explanation of the topic of statistics and probabilities and how they interact with daily life.
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The titular principle, that extremely improbable events are commonplace, logically follows from math-based laws of what Hand dubs "inevitability", "truly large numbers", "selection", "the probability lever", and "near enough"; nothing supernatural is involved*. Many of the same points are made more concisely in Jordan Ellenberg's much broader book _How Not to Be Wrong_. Hand's book is hobbled and lengthened by being extremely formula- and equation-phobic; even the P(...) notation goes show more unmentioned. I guess it's aimed at rank beginners, though.
(* A good thing, since nothing supernatural exists, and any argumentation that uses it is "not so much an explanation as an evasion of the question" (p 203).)
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Helped me understand even better than before, how not everything happens for a reason. Or, how the reasons, when there are reasons for an event, may be so varied and contingent, that we can never expect to know all of them.
Wierd typo: the author asserts that journeys that would have taken days w/out a car, take but minutes w/ the car. He meant "hours", and the editor should have caught it. Also, "slip over" was maybe intended to be "fall over" or just "slip", unless that is an Anglicism unknown to me.

1. Surrounded by Statistics:
This is really just an introduction to the introduction.

2. Simple Descriptions
"ordinal", "ratio", "absolute" scale. I do not know that I have ever cared.
Summary numbers: the mean, the show more median, and the mode. There is the range, which is a measure of dispersion. Combined with the mean and the median, it should tell you something. It would be nice to write a program that would generate graphs of the distribution of values given the number of values, the range, the mean, and the median. It would be fun to under specify, too, so that, given only the mean, you could show the variety. There is also the standard deviation, and you could play the same trick with that. We can subdivide the data using quantiles, like the median, only with smaller sections.

3. Collecting Good Data
"observational" vs. "experimental" studies. Sampling the data: "sampling frame", "stratified random sampling" and "clustered random sampling". If we just want to find the average of some value over a total population we can sample and, the author argues, it is the absolute size of the sample rather than the relative size that matters.

4. Probability
"subjective", "frequentist", and "classical". I guess I would call classical "formalist". The cumulative probability distribution graph is drawn as continuous. But I looked on Wikipedia and that is not a necessary property. It is, however, a cadlag function. That makes sense, and I like it better. The probability density function doesn't convey information by checking one particular point, but rather by finding the area under the curve between two points. Wikipedia has a nice graphic showing the relationship of the median, mean, and mode to the probability density function. There is also a probability mass function, useful for representing probabilities of continuous random variables. Comparison of distributions: Bernoulli, binomial extends Bernoulli over multiple trials. The Poisson distribution, according to this author, is useful if the number of trials is unlimited, but I thought that was true of the binomial as well. For continuous variables, we can have the "uniform", "exponential", or "normal" distributions.
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Statistics

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