Byron Schmuland

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9,477 reputation

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bio	website	stat.ualberta.ca/people/schmu/…
	location	Edmonton, Canada
	age	53
visits	member for	1 year, 9 months
	seen	5 hours ago
stats	profile views	3,139

I teach probability and statistics at the University of Alberta.

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315 Answers

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26	Striking applications of integration by parts
24	Probability of 3 people in a room of 30 having the same birthday
22	Probability for the length of the longest run in $n$ Bernoulli trials
18	A stronger version of discrete “Liouville's theorem”
17	$x,y$ are integers satisfying $2x^2-1=y^{15}$, show that $5 \mid x$

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9,477 Reputation

+5	How to prove that $\int_0^1\left(\sum_{k=n}^\infty {x^k\over k}\right)^2\,dx = \int_0^1 2x^{n-1}\log\left(1+{1\over\sqrt{x}}\right)\,dx.$
+40	Determinant of symmetric matrix with the main diagonal elements zero
+25	An inequality $\|x^{1/n}-y^{1/n}\|\leq c\|x-y\|^{1/n}$
+10	expected number of coin flips given a condition

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11 Questions

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37	Convergence of $np(n)$ where $p(n)=\sum_{j=\lceil n/2\rceil}^{n-1} {p(j)\over j}$
29	Inequality for expected value
27	Does $2x^2-1=y^5$ have a solution in integers, with $y>1$?
20	How to prove that $\int_0^1\left(\sum_{k=n}^\infty {x^k\over k}\right)^2\,dx = \int_0^1 2x^{n-1}\log\left(1+{1\over\sqrt{x}}\right)\,dx.$
18	Is this algebraic identity obvious?

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102 Tags

424 probability × 117	80 inequality × 13
140 probability-theory × 53	74 real-analysis × 20
133 stochastic-processes × 54	58 probability-distributions × 19
112 measure-theory × 37	41 markov-chains × 21
107 combinatorics × 26	37 statistics × 16

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$Mathematics$	Mathematics	9,477 rep	22154
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Self-Learner	probability
Nice Question × 5	Copy Editor
Generalist	Good Question × 3
Enlightened × 7	measure-theory
Nice Answer × 22	combinatorics

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2,219 Votes Cast

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2,206	up		687	question		54		13
13	down		1,532	answer		54		13

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