Author Archives: kjytay

Stats Joke

From page 68 of Simon Singh’s The Simpsons and their Mathematical Secrets: While heading to a conference on board a train, three statisticians meet three biologists. The biologists complain about the cost of the train fare, but the statisticians reveal … Continue reading

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[Soln] Central Limit Theorem: Strange Result!

For , define the random variable Let . Prove that as , a) the distribution of converges to for some real number , b) but converges to 2. (Credits: I learnt of this problem from Persi Diaconis in my probability class.)

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[Hints] Central Limit Theorem: Strange Result!

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Central Limit Theorem: Strange Result!

For , define the random variable Let . Prove that as , a) the distribution of converges to for some real number , b) but converges to 2. (Credits: I learnt of this problem from Persi Diaconis in my probability class.)

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[Soln] 2016 Putnam Problem B1

2016 Putnam B1. Let be the sequence such that and for , (as usual, the function is the natural logarithm. Show that the infinite series converges and find its sum.

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2016 Putnam Problem B1

2016 Putnam B1. Let be the sequence such that and for , (as usual, the function is the natural logarithm. Show that the infinite series converges and find its sum.

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Data on IMO results

Following the recent IMO 2016, I have been meaning to do some analysis on IMO results. Unfortunately I have not had time to do so… In the meantime, I thought I’d share the data I’ve scraped so far so that … Continue reading

Posted in Grade 12, Intl/Regional | Tagged | 1 Comment