deinst

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	2,711 reputation	bio	website		visits	member for	2 years, 9 months
1116 badges		location	Monson, New Hampshire		seen	6 hours ago

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Apr 8	comment	Conjugate Ferrers diagrams Draw a picture (this is almost always a good idea with problems like these). Draw vertical lines for the sums in the original partition, and horizontal ones for the conjugate position. The cells where the lines cross are in both sums, so all you need to do is to look at the fringe.
Nov 21	comment	Fisher Information and minimum variance estimators This route may be able to show tight bounds. Another route which may work would be to create an unbiased estimator and use the Rao-Blackwell theorem to show that the estimator could not be improved. I note that you have not even proposed an estimator. I would start by proposing one. Computing the likelihood would also probably be useful.
Nov 20	comment	Fisher Information and minimum variance estimators The Cramer-Rao theorem says that the variance of an unbiased estimator is at least as large as the inverse of the Fischer information (subject to some regularity conditions). Have you computed the Fisher information for this problem. If you want to show an estimator is efficient, verify that the likelihood satisfies the regularity conditions, compute the variance of the estimator, compute the Fisher information, and compare the variance with the inverse of the information. If they're equal the estimator is efficient, if not not. Please don't crosspost.
Sep 26	comment	Number of solutions to equation. Can you do it if you assume that x and p are relatively prime?
Aug 8	awarded	Yearling
Jun 8	awarded	Constituent
Jun 8	awarded	Caucus
Apr 24	comment	Unbiased estimator of parameter Why do you think that? What is the definition of an unbiased estimator?
Apr 21	comment	Weird conclusion about variance/covariance from differentiating Are you sure that there are not any other assumptions? Why do they want this result? (I know very little about finance.)
Apr 21	revised	Weird conclusion about variance/covariance from differentiating Added missing exponent
Apr 21	comment	Weird conclusion about variance/covariance from differentiating What are you trying to do? What you did was to find a condition that the partial derivative of variance of the convex combination is zero at $a=1$. Why do you want this?
Apr 18	comment	Steps to learning Bayesian probability Do you have experience with probability? How much? What do you mean by Bayesian probability? Almost any probability text will mention some form of Bayes Rule.
Apr 15	revised	Very Interesting Sequence Problem added 439 characters in body
Apr 15	comment	Very Interesting Sequence Problem @WillOrrick You are correct. I was forgetting the case where the length two dominoes extend off the end of the sequence. When I get a chance, I will update my answer. Thanks.
Apr 15	revised	Seatings Problem added arrangement
Apr 15	comment	Very Interesting Sequence Problem @alan If you have an odd number followed by a larger even number there are an even number of integers skipped, Likewise for an even number followed by an odd number.
Apr 15	answered	Seatings Problem
Apr 15	answered	Very Interesting Sequence Problem
Apr 14	comment	Hard planar graph problem @xan The triangle is not a counterexample. You need to show that the smallest graph for which every edge has total degree greater than 22 has smallest degree at least 4. Show that if you have such a graph with a vertex of degree 3, you can make a smaller graph with the same properties.
Apr 13	comment	Hard planar graph problem @xan I mistyped. Sorry. If all the vertices are of degree at least 4 and the average degree is less than 6, then at least 3/4 of the vertices have degree less than 12.