Articles by xi'an

another surmortaliy graph

April 27, 2020 | xi'an

Another graph showing the recent peak in daily deaths throughout France as recorded by INSEE and plotted by Baptiste Coulmont from Paris 8 Sociology Department. And further discussed by Arthur Charpentier on Freakonometrics. With a few days off due to reporting, this brings an objective perspective on the impact of the ...
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Le Monde puzzle [#1139]

April 23, 2020 | xi'an

A weekly Monde current mathematical puzzle that reminded me of an earlier one (but was too lazy to check): The integer n=36 enjoys the property that all the differences between its ordered divisors are also divisors of 36. Find the only 18≤m≤100 that enjoys this property such that all its prime ...
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random generators produce ties

April 20, 2020 | xi'an

“…an essential part of understanding how many ties these RNGs produce is to understand how many ties one expects in 32-bit integer arithmetic.” A sort of a birthday-problem paper for random generators by Markus Hofert on arXiv as to why they produce ties. As shown for instance in the R ... [Read more...]

wrapped Normal distribution

April 13, 2020 | xi'an

One version of the wrapped Normal distribution on (0,1) is expressed as a sum of Normal distributions with means shifted by all relative integers which, while a parameterised density, has imho no particular statistical appeal over the use of other series. It was nonetheless the centre of a series of questions ...
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Le Monde puzzle [#1133]

March 27, 2020 | xi'an

A weekly Monde current mathematical puzzle that reminded me of an earlier one (but was too lazy to check): If ADULE-ELUDE=POINT, was is the largest possible value of POINT? With the convention that all letters correspond to different digits and no digit can start with 0. Same question when ADULE+...
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Probability and Bayesian modeling [book review]

March 25, 2020 | xi'an

Probability and Bayesian modeling is a textbook by Jim Albert and Jingchen Hu that CRC Press sent me for review in CHANCE. (The book is also freely available in bookdown format.) The level of the textbook is definitely most introductory as it dedicates its first half on probability concepts (with ...
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Le Monde puzzle [#1134]

March 23, 2020 | xi'an

A weekly Monde current mathematical puzzle on gcd’s and scm’s: If one replaces a pair (a,b) of integers with the pair (g,s) of their greatest common denominator and smallest common multiple, how long at most before the sequence ends. Same question when considering a collection of ...
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one or two?

March 11, 2020 | xi'an

A superposition of two random walks from The Riddler: Starting from zero, a random walk is produced by choosing moves between ±1 and ±2 at each step. If the choice between both is made towards maximising the probability of ending up positive after 100 steps, what is this probability? Although the optimal path ... [Read more...]

!ABC%in%Grenoble

March 9, 2020 | xi'an

Most regrettably, the incoming ABC in Grenoble, planned on 19-20 March 2020 is now postponed till a yet unspecified date, like next Summer or next Fall. Due to travel disruptions all over the World and to gathering restrictions in France, courtesy of the Covid-19 virus. Not particularly surprising given the avalanche ...
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chain of lynx and drove of hares

February 26, 2020 | xi'an

A paper (and an introduction to the paper) in Nature this week seems to have made progress on the existence of indefinite predator-prey cyles. As in the lynx/hare dataset available on R. The paper is focusing on another pair, an invertebrate and its prey, an algae. For which the ...
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multiplying the bars

February 24, 2020 | xi'an

The latest Riddler makes the remark that the expression |-1|-2|-3| has no unique meaning (and hence value) since it could be | -1x|-2|-3 | = 5   or   |-1| – 2x|-3| = -5 depending on the position of the multiplication sign and asks for all the possible values of |-1|-2|…|... [Read more...]

Le Monde puzzle [#1132]

February 23, 2020 | xi'an

A vaguely arithmetic challenge as Le weekly Monde current mathematical puzzle: Given two boxes containing x and 2N+1-x balls respectively. If one proceeds by repeatedly transferring half the balls from the even box to the odd box, what is the largest value of N for which the resulting sequence ...
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SMC on the 2019-2020 nCoV outbreak

February 18, 2020 | xi'an

Two weeks ago, Kurcharski et al., from the CMMID nCoV working group at the London School of Hygiene and Tropical Medicine, published on medrXiv a statistical analysis via a stochastic SEIR model of the evolution of the 2019-2020 nCoV epidemics, with prediction of a peak outbreak by late February in ...
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Le Monde puzzle [#1129]

February 9, 2020 | xi'an

A number challenge as Le weekly Monde current mathematical puzzle: When the three consecutive numbers 110, 111 and 112, they all are multiples of the sum of their digits. Are there 4 consecutive numbers with three digits like this? A contrario, does there exist 17 consecutive numbers with three digits such that they cannot be […]
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Le Monde puzzle [#1130]

February 6, 2020 | xi'an

A two-player game as Le weekly Monde current mathematical puzzle: Abishag and Caleb fill in alternance a row of N boxes in a row by picking one then two then three &tc. consecutive boxes. When a player is unable to find enough consecutive boxes, the player has lost. Who is ...
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another easy Riddler

January 30, 2020 | xi'an

A quick riddle from the Riddler In a two-person game, Abigail and Zian both choose between a and z. Abigail win one point with probability .9 if they choose (a,a) and with probability 1 if they choose (a,z), and two points with probability .4 if they choose (z,z) and with ...
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MCMC, with common misunderstandings

January 26, 2020 | xi'an

As I was asked to write a chapter on MCMC methods for an incoming Handbook of Computational Statistics and Data Science, published by Wiley, rather than cautiously declining!, I decided to recycle the answers I wrote on X validated to what I considered to be the most characteristic misunderstandings about ...
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a very quick Riddle

January 21, 2020 | xi'an

A very quick Riddler’s riddle last week with the question Find the (integer) fraction with the smallest (integer) denominator strictly located between 1/2020 and 1/2019. and the brute force resolution for (t in (2020*2019):2021){ a=ceiling(t/2020) if (a*2019
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Le Monde puzzle [#1127]

January 16, 2020 | xi'an

A permutation challenge as Le weekly Monde current mathematical puzzle: When considering all games between 20 teams, of which 3 games have not yet been played, wins bring 3 points, losses 0 points, and draws 1 point (each). If the sum of all points over all teams and all games is 516, was is the […]
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