For those of you who aren't statisticians: D. R. Cox was an absolute legend. Revolutionized the field of survival statistics with his proportional hazards model. Shares 50% of the credit for the Box-Cox test and all the giggles it generates in undergrads. Invented the Cox point process. A zillion other things. His contributions were great and he will be missed.
Edit: I have to edit my comment because calling him an absolute legend doesn't feel like it was doing him justice. I'm not kidding, I don't think I can state how important he was. He's in the top 5 statisticians of all time- everyone's ranking of top 5 varies but Cox is in the top 5 on almost every statistician's list- and will probably still be top 5 until the future is perfectly predictable and there is no need for probability and statistics anymore. There may never be someone that is as productive and with as impactful discoveries. Sure, there will be people that write more papers, but nobody will write as many great papers. Sure, there are other great statisticians that have a few great discoveries named after them, but there are none that have as many great discoveries named after them.
I remember thinking “isn’t it odd that there were several statisticians named Cox with important work?” It didn’t even occur to me that so many fundamentals, over literally decades from the 50s to the 00s, and even popular textbooks like his one on applied statistics, could ALL be from one mind. Amazing.
Gertrude Cox is actually also a famous statistician with considerable contributions to the field, so you weren't entirely wrong, but of course David is (was) almost peerless in living memory.
The information age has advanced so rapidly, we hardly realize that almost everything that had been invented, was by people just passed or still alive. When I was in college, Claude Shannon still attended information theory seminars. He invented all of digital communications (or nearly so).
I think it’s kind of beautiful that we all have our limited times to make an impact. We bring our perspectives and use our context to try to move civilization to a more optimal place. Then once we’ve spent all our ideas our perspectives can afford, we give way to the next group of minds. Like an old oak falling under the weight of snow opens room in the canopy for new growth and the decomposing wood provides nutrients for saplings; the absence of old arguments invite new ideas and the theory we leave gives the building blocks.
I don't know if I'd call it beautiful or desirable over a world where we live forever and develop robust mechanisms to ensure our perspectives are forced to change and adapt instead of calcifying and power cannot entrench itself, but I agree that I can appreciate the fact that although people like Dr. Cox and Hans Rosling die, so do tyrants and those irrationally stubborn
He lived till 98. At some age cut-off point, shouldn't we be thankful that he lived so long?.
If you consider the first 25 as useless/building stage of life and the next 35 as contributing/productive part. This man lived another 38 years after that (an entire new useful life span for an average human).
> If you consider the first 25 as useless/building stage of life and the next 35 as contributing/productive part.
I never thought I’d read a comment where someone just called their youth worthless. Aside from being reductionist and utterly devoid of empathy, there’s an entire industry built around life extension that disagrees with you.
For someone who lives/interacts with David Cox everyday, the loss is immense.
But OP was referring to 'loss to the society'. When you bring in 'loss to the society', then it is inevitable that you measure their net-positive-contributions-to-society.
Unless you are an outlier (<0.0001%), 25 and below is usually where you are sucking away resources without contributing back (easily measured by net worth or artifacts or offsprings). 25 - 60 is when you are peak contribution (offsprings, net worth, artifacts), after 60 most stop producing (offsprings, artifacts, wealth accumulation). Yes there are outliers to these too.
Now to the controversial. Yes, offspring creation is (the ultimate) productive service to the society. It's the *only* way to keep humanity not going extinct.
Thought experiment: Tomorrow if everyone decides to stop offsprings, humanity is guaranteed to be extinct in 100 years. However, if everyone decides to have a baby or two, humanity will chug along for at least quite a few hundred years (Climate Change is not going to make us extinct)
If you have ever used logistic regression, you can probably credit Cox. He popularized the model during a time when Probit regression was more popular.
For the younger generation, a logistic regression is a neural network without a hidden layer :)
Cox had unrivaled breadth across the statistical books that he authored, and I'm far from an expert on his catalog, but I have read three and they are excellent.
- Theory of Design of Experiments is an excellent and non-technical book on experimentation and data collection. Still important in an era of big data!
- Analysis of Survival Data is the book on the Cox model. It is quite technical. I own this book for historical reasons, and I'm glad I read it, but I now recommend Therneau for serious survival statistics.
- Theoretical Statistics w/ Hinkley is still a great mathematical statistics book. Excellent math-stats books are uncommon now, and Cox was a master.
Cox also wrote a few books on stochastic processes that are well regarded, but I'm unfamiliar.
I most recently read Celebrating Statistics: Papers in honour of Sir David Cox on his 80th birthday which is a very thoughtful collection.
Principles of Applied Statistics
by D. R. Cox and Christl A. Donnelly
From Cosma Shalizi's review [0]:
> D. R. Cox published his first major book, Planning of Experiments, in 1958; he has been making major contributions to the theory and practice of statistics for as long as most current statisticians have been alive. He is now in a reflective phase of his career, and this book, coauthored with the distinguished biostatistician Christl A. Donnelly, is a valuable distillation of his experience of applied work. It stands as a summary of an entire tradition of using statistics to address scientific problems.
From "A Conversation with George Box" -
------------
The story about that goes back to the
time when I was still in England, and David Cox and
I were both on the research committee of the Royal
Statistical Society. Various people remarked on the
fact that Box and Cox were both on the committee
and said that we should write a paper together. My
recollection is that either David said to me or I said
to David, "You know, perhaps we ought to take them
up on that." And so, "Yes, OK, let's do that. And what
should it be about?" Well, we both knew the story
about Box and Cox. This is a story about Box living
in a room during the day and Cox living in the same
room during the night, and neither of them knew that
the landlady was giving the room to two people and
getting two rents rather than one. So we said, "Well,
obviously the thing to write about is transformations."
And that was all we had to begin with. [Laughs] We
did something about it. We got as far as the part about
the Jacobian, and if you've read that paper ["An
analysis of transformations," J. Roy. Statist. Soc. Ser.
B 26 (1964) 211-252] you'll know that this part is a
little bit tricky, even controversial. We didn't know
quite how to deal with that bit, and so it got put to
one side. The time passed, years passed; I went to
Princeton, and then to Madison. After I had been at
Madison a short while, the way I remember it is that
David wrote me a letter and said, "Hey, you know that
thing we were doing? I think if we went this way, we
would be able to do it." And I wrote back and said,
"Yeah, I think so," and what about this and what
about that, and so on. And so we started working
together again on it, and finally we got the paper out.
DeGroot: A classic paper. So it really did start
with just the authors' names and built up from there.
Box: Yes. I think we also had sort of a slight
conspiracy because I think we both felt it was a bit
funny about the Box and Cox notion. David was
keener on the likelihood approach and I was keener
on the Bayesian approach. So we put both in, and
when the discussion came up various people said,
"Perhaps the authors would like to say whether they
both agree on this" and we were careful not to say. So
there was sort of a slight Box-Coxish uncertainty
about the whole thing which we thought was amusing.
-------
One of the most cited papers in Statistics, the Box-Cox transform (http://www.econ.uiuc.edu/~econ508/Papers/boxcox64.pdf , 18000+ citations) is a power transform just about everybody has employed at one point or another when dealing with non-Gaussian data (builtin function MASS::boxcox in R)
Edit: I have to edit my comment because calling him an absolute legend doesn't feel like it was doing him justice. I'm not kidding, I don't think I can state how important he was. He's in the top 5 statisticians of all time- everyone's ranking of top 5 varies but Cox is in the top 5 on almost every statistician's list- and will probably still be top 5 until the future is perfectly predictable and there is no need for probability and statistics anymore. There may never be someone that is as productive and with as impactful discoveries. Sure, there will be people that write more papers, but nobody will write as many great papers. Sure, there are other great statisticians that have a few great discoveries named after them, but there are none that have as many great discoveries named after them.