2,729 reputation
2336
bio website ephorie.de
location Germany
age 44
visits member for 4 years, 6 months
seen 17 hours ago

just an amateur fascinated by math


Jan
25
comment Integral paradox: Deterministic integral interpreted as limiting case of stochastic integral
Thank you, the result squares very well with my simulations!
Jan
24
comment Integral paradox: Deterministic integral interpreted as limiting case of stochastic integral
@Michael: Could you please elaborate on that and put it into an answer. That would be great - thank you!
Jan
24
asked Integral paradox: Deterministic integral interpreted as limiting case of stochastic integral
Jan
12
awarded  Nice Question
Dec
1
awarded  Popular Question
Nov
20
answered Why is the derivative multiplication by frequency in Laplace transform?
Oct
7
comment Algorithm for optimizing width length of classes of an ordered list of data points under certain conditions
@whuber: Do you think that the missing objective function is the problem? So let's take the "signal-to-noise ratio" as the function to optimize, i.e. the ratio of mean to standard deviation (en.wikipedia.org/wiki/Signal-to-noise_ratio).
Oct
6
revised Algorithm for optimizing width length of classes of an ordered list of data points under certain conditions
added 89 characters in body; edited title
Oct
6
asked Algorithm for optimizing width length of classes of an ordered list of data points under certain conditions
Sep
26
accepted How to verify that the average is really a simple calculation?
Sep
26
comment How to verify that the average is really a simple calculation?
Thank you, joriki. The most enlightening part for me is: "[...] the question is then how to tell whether all the possible matches have the same probability of being drawn in the second draw "even though" two balls have already been removed. This is clearly the case, since the balls that were removed were themselves picked randomly with uniform distribution, so there's nothing there that could break the symmetry between the teams."
Sep
25
comment How to verify that the average is really a simple calculation?
So if you elaborate on this as an answer this would be great - Thank you again.
Sep
25
comment How to verify that the average is really a simple calculation?
Yes, you are right! Thank you for clarifying. So, to turn it around: Can you always use the easy way to calculate the average value? Which would mean that there are no situations thinkable where the marginal probabilities change (independent anyway but even when dependent)? Can this be proved?
Sep
25
comment How to verify that the average is really a simple calculation?
@joriki: Perhaps this one is a little bit contrived but imagine two quantum dice where when one die is thrown the expected value of the other one changes from 3.5 to 4.5. Here they are not only dependent but the marginal probability changes in the experiment so you can't just calculate the overall expected value the easy way. I guess there are better real world examples out there...
Sep
25
asked How to verify that the average is really a simple calculation?
Sep
25
revised How to calculate the expected value when betting on which pairings will be selected
deleted 31 characters in body
Sep
25
awarded  Popular Question
Sep
23
accepted How to calculate the expected value when betting on which pairings will be selected
Sep
22
comment How to calculate the expected value when betting on which pairings will be selected
Thank you, joriki. Why don't you need conditional probabilities? When a match is set the participating teams are not available for the next draw and the last match will be fixed without even drawing because only two teams will be left.
Sep
22
asked How to calculate the expected value when betting on which pairings will be selected