Nice Robert !  I like the fish animation in the end he he.

That would have taken me a long time to do :-)

yes I agree. I liked it as well :-) Nice post.

thanx Robert for the speedy reply . That worked great :-)

thanx Robert for the speedy reply . That worked great :-)

ok, thanx for the suggestion. I have already installed python 3.1 because you had recommended python

previously so I though I would have a go at it ( even though c++ was the only course I have recived an F in my entire life he he

and I guess python is not that much different). I started using it but I could not find any good statistical functions like

expected value, variance etc so I just stopped using it.

ok thanx alec.

These kind of techniques are quite important to know about otherwise you have no chance of doing efficient 

numerical calculations. I wish the documentation regarding this would be better but maybe I havnt looked enough :-)

I realize however that the comparison might not be completely fair.

X() produces "elements" that can be actually referred to like   s[1] ;   s[5] ;

XX() and XXX()  need to run the loop each time with different end points to access the different elements (right ? )

What would be the most efficient way to access such data in XXX() ? I have tried vector assignment but it is quite slow...

alec I assume that you are talking about collusion here ?  If you have any good game theory applications

in store couldnt you please share that with us in a nice blog post. I think a lot of people would be

interested  in reading and learning from your insights :-)
 

alec I assume that you are talking about collusion here ?  If you have any good game theory applications

in store couldnt you please share that with us in a nice blog post. I think a lot of people would be

interested  in reading and learning from your insights :-)
 

alec yes I agree that comparing gambling and speculation is like comparing apples and

bananas due to a couple of reasons:

Gambling

1) Probability distribution is know. Expected return =0.

2) Probability distribution remains constant over time.

3) We have no uncertainty.

Speculation

1) Probability distribution is not know. We have to approximate it. Expected return can be -, zero or +.

2) Probability distribution does not necessarily remains constant over time.

3) We have loads of uncertainty.

Note also that the probability distribution is only half of the equation it does not say anything

about expected return which can be something quite different even for a N(0,1).

alec yes I agree that comparing gambling and speculation is like comparing apples and

bananas due to a couple of reasons:

Gambling

1) Probability distribution is know. Expected return =0.

2) Probability distribution remains constant over time.

3) We have no uncertainty.

Speculation

1) Probability distribution is not know. We have to approximate it. Expected return can be -, zero or +.

2) Probability distribution does not necessarily remains constant over time.

3) We have loads of uncertainty.

Note also that the probability distribution is only half of the equation it does not say anything

about expected return which can be something quite different even for a N(0,1).

thanx yes that is a good reminder:-)  I have known about it for a long time but it is easy to fall into such a

trap when you are trying to push boundaries. At the moment I am just trying to come up with

some practical application (ie volatility trading) to

" the greater the deviation of a random variate from its mean, the greater the probability that the next

measured variate will deviate less far."

but maybe I am just fold by randomness as Taleb would say, he he

thanx yes that is a good reminder:-)  I have known about it for a long time but it is easy to fall into such a

trap when you are trying to push boundaries. At the moment I am just trying to come up with

some practical application (ie volatility trading) to

" the greater the deviation of a random variate from its mean, the greater the probability that the next

measured variate will deviate less far."

but maybe I am just fold by randomness as Taleb would say, he he

ok, thanx Axel I will try that :-)  Again thanx for your effort.

ok, thanx Axel I will try that :-)  Again thanx for your effort.