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Re: [amibroker] Trends, random series



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I have an understanding of out of sample testing; 
that was an issue.
 
However, doesn't the design range depend on 
what type of system, environment and universe one is considering?  I doubt 
that the 90's have a lot to do with the present, at least for some time 
yet.  Is this an a priori assessment?  Yes.
 
The recent discussions of an example CMO system 
that, when tested on the NDX gave consistent from the 90's and also since 2000 
was an example.  Using the NDX was certainly biased towards techs.  
The only survivor of the system over both periods<FONT face=Arial 
size=2> from my calculations and recollection was ALTR.  
 
There may be no universal solution only local 
solutions.
 
Cheers,
 
 
Richard
<BLOCKQUOTE 
>
----- Original Message ----- 
<DIV 
>From: 
wavemechanic 

To: <A title=amibroker@xxxxxxxxxx 
href="">amibroker@xxxxxxxxxxxxxxx 
Sent: Thursday, June 20, 2002 12:41 
PM
Subject: Re: [amibroker] Trends, random 
series

 
<BLOCKQUOTE 
>
----- Original Message ----- 
<DIV 
>From: 
Richard 
Alford 
To: <A title=amibroker@xxxxxxxxxxxx 
href="">amibroker@xxxxxxxxxxxxxxx
Sent: Thursday, June 20, 2002 1:26 
PM
Subject: Re: [amibroker] Trends,random 
series

Why wouldn't one simply design on now - 6 months, and 
confirm on the previous 6 months?  The suggestion of designing to 
today, then testing for the next 6 months doesn't appear to be any 
different  - if one is absolutely certain they did not use information 
from the preceding 6 months...  Of course, selecting systems that 
perform well on the last 6 out of sample data does use that data - tis a 
puzzlement.  Certainly only trying a new system every 6 months would 
constrain losses.
 
Using a portion of existingdata for 
system development and the balance for out of data testing is the standard 
procedure, thereby having the ultimate Scrambler.  However, one ofthe 
pitfalls in evaluations of this nature is being able to ensure that the 
period used for development includes a variety of market conditions, which 
usually requires a fair amount of data.  Otherwise, one probably only 
has a system that is good for bull/bear/flat markets, etc.  

 
wrt Al's point - I will let him manage that one.  I 
am marketing bullet proof boots, btw.
 
Cheers,
 
Richard
 
 
<BLOCKQUOTE 
>
----- Original Message ----- 
<DIV 
>From: 
Ken Close 

To: <A 
title=amibroker@xxxxxxxxxxxxxxx 
href="">amibroker@xxxxxxxxxxxxxxx 

Sent: Thursday, June 20, 2002 11:35 
AM
Subject: RE: [amibroker] Trends, 
random series

<SPAN 
class=170473116-20062002>William:
<SPAN 
class=170473116-20062002> 
I think the 
point Al was making with his idea of using the Simulator is that you save 
TIME.  If you optimize (bad word--deduce a system) based on the last 
two years up until yesterday, and then you wish to test "out-of-sample" 
for 6 months, you will have to sit and collect the next six months worth 
of data before you can draw a conclusion about the worth of the system you 
have developed.  The idea behind the simulator as I understand it is 
to generate the next six months worth of data NOW and if results are 
satisfactory, THEN begin trading tomorrow.
<SPAN 
class=170473116-20062002> 
The purpose 
is to save time.
<SPAN 
class=170473116-20062002> 
However, 
you shoot yourself in the foot if the conclusion is that the simulated 
data is worthless as an out-of-sample test.
<SPAN 
class=170473116-20062002> 
I think I 
have Al's purpose stated correctly.
<SPAN 
class=170473116-20062002> 
Ken 

<FONT face=Tahoma 
size=2>-----Original Message-----From: wpeters_1 
[mailto:wpeters_1@xxxx]Sent: Thursday, June 20, 2002 
1:17 PMTo: amibroker@xxxxxxxxxxxxxxxSubject: RE: 
[amibroker] Trends, random series
<FONT face=Arial color=#0000ff 
size=2>Thank you Al for that..i'm not sure that you 
saw this follow up of mine: 
<FONT face=Arial color=#0000ff 
size=2> 
<FONT 
face=Arial><SPAN 
class=875075116-20062002>"You then have to go on and ask what would 
be the value of studying biases introduced in a series of randomised data 
by mathematicians which does not occur in the real world market 
place.
<FONT 
face=Arial color=#0000ff size=2> 
<FONT 
face=Arial>Surely what would be valuable 
is to study and root out biases already in the market due to human 
behaviour or whatever. And get to learn about human behaviour and the 
effect on the market place.<SPAN 
class=875075116-20062002>"
<FONT 
face=Arial><SPAN 
class=875075116-20062002> 
<FONT 
face=Arial><SPAN 
class=875075116-20062002> 
<FONT 
face=Arial><SPAN 
class=875075116-20062002> 
<FONT 
face=Arial><SPAN 
class=875075116-20062002>Also-
<FONT 
face=Arial>I 
still don't see the value in this approach over using real data 
history. If at the core of your argument you are saying there is some 
possibility of this system reflecting the future, what might happen 
in the future etc, then so could the data from the 
past..
<FONT 
face=Arial><SPAN 
class=875075116-20062002> 
<FONT 
face=Arial>For 
me it always comes back to 'where is the value' over straight ticker 
history, which we know is as real as its going to get. Humanistic patterns 
have been more or less the same over many years at a base level and 
they are represented in history of the chart for us to study. 
Any tinkering with those patterns and you get some artificial result which 
will never happen in the real world market....and again what is the worth 
of studying that data over the 
real?
<FONT 
face=Arial><SPAN 
class=875075116-20062002> 
<FONT 
face=Arial><SPAN 
class=875075116-20062002>Appreciate your 
courage
<FONT 
face=Arial><SPAN 
class=875075116-20062002> 
<FONT 
face=Arial><SPAN 
class=875075116-20062002>William
<FONT 
face=Arial><SPAN 
class=875075116-20062002> 
<FONT 
face=Arial><SPAN 
class=875075116-20062002> 
<FONT 
face=Arial color=#0000ff size=2> 

<FONT face=Tahoma 
size=2>-----Original Message-----From: Avcinci 
[mailto:avcinci@xxxx]Sent: Wednesday 19 June, 2002 
07:12 PMTo: amibroker@xxxxxxxxxxxxxxxSubject:Re: 
[amibroker] Trends, random series

William (and 
Richard),
 
Let me try to explain 
Leo’s scrambler. It was developed by Tushar Chande from his book Beyond 
Technical Analysis, 2nd ed. Chande randomly rearranges the data of a 
ticker to create new sequences. He does this as follows: he observes the 
relationship between the O, H, L, and C of the 2nd bar by 
using the C of the 1st bar as reference. So, he writes the 
relationship as: 
 
DeltaO = O – 
ref(C,-1);
DeltaH = H – 
ref(C,-1);
DeltaL = L – 
ref(L,-1);
DeltaC = C – 
ref(C,-1);
 
He samples with 
replacement with these formulas and creates patterns that bear the 
market’s signature as defined by relative price relationships. The next 
step is to use a random number generator to scramble the bars. Whenyou 
have a new sequence, you need a starting point, which is usually the 
prior C. The new bar is derived from the prior C as follows (where the 
Syn prefix stands for the new synthetic values): 
 
Syn-C = ref(C,-1) + 
deltaC;
Syn-H = ref(C,-1) + 
deltaH;
Syn-L = ref(C,-1) 
+deltaL;
Syn-O=ref(C,-1) + 
deltaO;
 
He calculates the 
interbar relationships as defined above for a ticker of your choice. He 
uses a random number generator to pick a number from 1 to x (x 
determined by the no. of bars you want to scramble). That number isthe 
next bar of the sequence. Suppose on the 10th pick, you pick 
bar 5. Then the original bar 5 becomes bar 10 of the new sequence. The 
bars may repeat. You can generate as long a sequence as desired. You use 
the synthetic values determined by the equations above to establishthe 
next bar’s appearance. Thus, what you wind up doing is encapsulating the 
market behavior in the original bar 10 and reproducing it in another 
sequence to create new synthetic data. You can generate a variety of 
chart patterns of any length using data scrambling. According to Chande, 
you can generate 100 years of data and test your system against a 
variety of market conditions. Since these are the types of patternsyou 
are likely to see in the future, this is the most rigorous out-of-sample 
testing you can achieve. 
 
The above commentary was 
partly plagiarized from Chande’s book, and it is merely a synopsis. To 
get a clearer understanding of the methodology with spreadsheet 
examples, you should read his chapter devoted to scrambling. 
 
I have attached 2 gifs 
showing what scrambled data look like on 2 different tickers. Note that 
the patterns are not any more unusual than those of normal chart 
patterns, and you can see definite trends developing. In fact, if you 
look at recent real charts of the market indices, you will see many 
instances of V-tops and V-bottoms, which is what William was concerned 
about earlier today. Hope this helps. Many thanks to Leo Timmermansfor 
programming Chande’s scrambler for Amibroker. I asked him recently if he 
could program it in such a way to create synthetic data for an entire 
watch list at one time. That might be tricky, but he said he would look 
into it. 
 
Al V.
<BLOCKQUOTE 
>
----- Original Message ----- 
<DIV 
>From: 
<A title=wpeters_1@xxxx 
href="">wpeters_1 
To: <A 
title=amibroker@xxxxxxxxxxxxxxx 
href="">amibroker@xxxxxx 

Sent: Wednesday, June 19, 2002 
1:22 PM
Subject: RE: [amibroker] Trends, 
random series, etc : was MetaStock and AmiBroker

<FONT face=Arial color=#0000ff 
size=2>AL,
<FONT face=Arial color=#0000ff 
size=2> 
<FONT face=Arial color=#0000ff 
size=2>With randomised data isn't there a chance that the so-called 
'trend' can reverse on the next tick 'more-so' than data based on 
human intervention. And that includes mechnical systems (ie. if enough 
traders started using a certain indicator).
<FONT face=Arial color=#0000ff 
size=2>The obvious predictability in human behaviour is what can give 
you the little advantage and this is not in totally randomised 
data.
<FONT face=Arial color=#0000ff 
size=2> 
<FONT face=Arial color=#0000ff 
size=2>Surely if so your 'randomised' data 'trend' does not have an 
equal chance of reversing on each and every tick then its not 
randomised.
<FONT face=Arial color=#0000ff 
size=2> 
<FONT face=Arial color=#0000ff 
size=2>Very interesting topic.
 
<FONT face=Arial color=#0000ff 
size=2>William

<FONT face=Tahoma 
size=2>-----Original Message-----From: Al Venosa 
[mailto:avcinci@xxxx]Sent: Wednesday 19 June,2002 
10:54 AMTo: amibroker@xxxxxxxxxxxxxxxSubject: 
Re: [amibroker] Trends, random series, etc : was MetaStock and 
AmiBroker


Richard,
I'm glad you took the liberty of changing the subject line. I 
don't think you are being a pessimistic, grumpy old man (sorry, 
don't know how old you are). Let me throw in another 2 cents into 
the discussion of trends. You said in order to have a trend, there 
must exist some information in the immediate past that would cause 
the trend to persist for a long enough time to profit from the move. 
I cannot agree more. That is absolutely true. A bad earnings report 
comes out on INTC, and the market immediately reacts by selling. 
This is further fueled by some nitwit analyst who changes his buy 
recommendation to hold or sell (of course, always after the fact!). 
Then, all the other individual "investors" climb aboard and do more 
selling, driving the prices still further down. Then, the company 
foretells that over the next several quarters there will be more of 
the same in regards to diminished sales, inducing further pessimism 
that drives the prices still further. All of this information 
results in a downward trend. This does not nor cannot happen with 
random events like coin tosses. So, technically speaking, you are 
perfectly correct in your assertions . 
Now, the trend follower comes in. He couldn't care less whatis 
driving the prices down. In fact, he purposefully never pays 
attention to news events and announcements that may drive prices in 
one direction or another. He doesn't care about the cause of the 
trend. All he does is climb aboard the resulting trend, using 
whatever entry he has fashioned to enable him to take advantageof 
this 'breakout' and whatever exit that enables him to exit whenthe 
trend falters. Who was taking the other side of the market when 
Neeson was loading up on Nikkei futures, driving the Barings Bank 
into bankruptcy? The trend followers who recognized what was 
happening and capitalized. What I'm saying is, the trend follower 
buys or sells all breakouts (however you want to define the term 
'breakout') and hopes that the resulting price behavior continues 
long into the future. With the scrambler, these 'trends' can indeed 
take place even with randomized data, as you have already pointed 
out. What I'm suggesting is that your system of entries and exits 
doesn't have a clue what caused the breakout to occur because it's 
nothing more than a mathematical algorithm that trades based on 
certain signals programmed by the user when certain price behavior 
occurs. I contend you can test your system on such price behavior 
just to learn how well the system reacts to price breakouts andto 
see if, indeed, it is effective in finding trends in the data, 
albeit randomized data. By the way, these comments are not limited 
to trend following systems. I chose that trading approach merely as 
an example to make my point. 
Richard, I'm not trying to be argumentative on this topic. I'm 
just pointing out why I think there might be value in testing a 
fully optimized trading model on randomized data. Thanks for the 
provocative discussion. 
Al V.





>From: "Richard Alford" 
>Reply-To: amibroker@xxxxxxxxxxxxxxx 
>To: 
>Subject: [amibroker] Trends, random series, etc : was 
MetaStock and AmiBroker 
>Date: Wed, 19 Jun 2002 08:35:15 -0500 
> 
>I agree on the oxymoronic nature of so called random 
series. The problem results from using very particular distributions 
for the random numbers which allows the mathematicians to write 
books and teach classes. The Gaussian functions are one of the most 
well-behaved functions around. 
> 
>wrt trends in scrambler and other "random" time 
series - simply stated if they are truly random there is absolutely 
no information about the past in the next event. Your coin toss 
observation is a great example: given the 1/1000 case of 10 heads in 
a row the odds of another head are precisely 50% for the next toss. 
> 
>In order to discuss a "trend" there must be some 
information that persists. One can generally, perhaps always, see 
trends in a random series - in hindsight - however it contains no 
predictive information. There are systems that seek to identify 
trending vs. trading range behavior (I think Ehlers addresses this 
issue - can't say with how much success), however, they are 
inaccurate at the changes. A moving average on the coin toss series 
will identify trends - but the lag in the moving average that we all 
know of and try to remove is the "hindsight" problem. 
> 
>Trend scale is still another issue. The apparent 
fractal behavior of the stock market suggests that one can find 
trends, and/or search for trends, over any time scale desired. (The 
inflationary or perhaps evolving nature of economies have placed a 
long term upward bias on the trends that can confuse the issue.) 
Once again a moving average of any length on a random series will 
display periods of upward and downward "trends". 
> 
>Sorry to be such a pessimistic old grump. 
> 
>Cordially, 
> 
>Richard 
> 
> ----- Original Message ----- 
> From: Avcinci 
> To: amibroker@xxxxxxxxxxxxxxx 
> Sent: Tuesday, June 18, 2002 8:19 PM 
> Subject: Re: [amibroker] Re: MetaStock and AmiBroker 

> 
> 
> Richard, 
> 
> >>distribution of the trends is predictable 
for a random series >> This sounds oxymoronic to me, i.e., 
predictable distribution of random trends. But, I'll take your word 
for it. :-)) 
> 
> Regarding the scale when speaking of trends, I was 
referring to weeks to months, perhaps even a year or two at most 
(stocks, not futures), but not decades. This brings us back to 
discussing the Scrambler. You said you don't hold much if any value 
in it, but can you elaborate just a little more on what you mean in 
terms of the scale I am referring to, because in a period of 130 
trading days, I noticed some pretty decent trends develop that 
lasted long enough to be of value in system testing? Thanks, 
Richard. By the way, I agree that this discussion, interesting as it 
is, has absolutely nothing to do with Metastock!! 
> 
> AV 
> 
> ----- Original Message ----- 
> From: Richard Alford 
> To: amibroker@xxxxxxxxxxxxxxx 
> Sent: Tuesday, June 18, 2002 3:55 PM 
> Subject: Re: [amibroker] Re: MetaStock and AmiBroker 

> 
> 
> wrt rsi/stochastics/cmo/etc... my point was that 
they attempt to identify a phenomenon that has been observed asan 
indication of overbought/oversold. There is a reasonable beliefthat 
the arithmetic created to identify that behavior can be a useful 
indictor of that condition. The comment offered for Elliot waveand 
Fibinacci behavior also points to a large community that believes 
that there is a hidden structure to the market and human behavior - 
I am not a devotee of that belief, but I also have my doubts about 
Madam Cleo.... 
> 
> wrt trends in random numbers: there is, of course, a 
trend between any two non=equal numbers. Given a suitable sample, 
the distribution of the trends is predictable for a random series - 
probably also random and if the normal Gaussian (pardon the pun) 
distribution is used, as the derivative (or instantaneous 
slope/trend) is a skewed Gaussian. Interesting to the statisticians 
but not very useful to the average investor. 
> 
> wrt: trending 30% - that really has to be a matter 
of scale. If you chose a suitably long moving average you can 
probably even consider today as part of a long time upward trend - 
not particularly useful - although even my meager portfolio looks 
better today than it did in 1970 - not saying much.... 
> 
> Interesting discussion - don't have the faintest 
idea what it has to do with MetaStock :) 
> 
> Cheers, 
> 
> Richard 
> 
> 
> ----- Original Message ----- 
> From: Al Venosa 
> To: amibroker@xxxxxxxxxxxxxxx 
> Sent: Tuesday, June 18, 2002 2:28 PM 
> Subject: Re: [amibroker] Re: MetaStock and AmiBroker 

> 
> 
> Thanks, Richard. I always enjoy your mathematical 
insights. I hope you didn't get the impression I was suggesting 
'optimizing' on random bars. I was merely suggesting 'testing' your 
already optimized system on the scrambled data, seeing if it can 
detect those occasional occurrences of non-random behavior of random 
numbers, that's all. Certainly if a trend-following system can 
detect trends in random price bars, it ought to be able to detect 
them in real, non-random price bars, too, don't you think? Markets 
trend only about 30% of the time, as I am told, so wouldn't you 
consider non-trending markets (i.e., sideways markets) somewhat 
representative of random price behavior? 
> 
> I also get the impression you are not an advocate of 
overbought/oversold oscillators, right? 
> 
> Al Venosa 
> avcinci@xxxx 
> >From: "Richard Alford" 
> >Reply-To: amibroker@xxxxxxxxxxxxxxx 
> >To: 
> >Subject: Re: [amibroker] Re: MetaStock and 
AmiBroker 
> >Date: Tue, 18 Jun 2002 12:55:33 -0500 
> > 
> >The non-random appearance of random numbersis a 
very well know phenomenon - probably accounts for the continued 
enthusiasm in slot machines in Vegas... 
> > 
> >I stand by my comments. In particular, the 
various oversold/bought indicators rely on the observation thatthe 
close tends to be higher in the l-h range in the overbought 
condition - the persistence of such a trend is interpreted as 
buy-sell behavior. 
> > 
> >I personally see no use in random data. There is 
no information in random data and no expectation of the past 
affecting the future - the only reason for technical analysis (other 
than too much time on one's hands) is to glean information about the 
near future. There are, of course, degenerate uses for random 
numbers in testing, but to test, build, or, heaven forbid - 
optimize, using random time series is pointless at best. 
> > 
> >wrt coin tosses: the coin is a Markov process of 
length 0 - no memory. If the market is the same, we may as wellhead 
for Vegas and get free drinks as we go broke. (OK - the market MAY 
be a fair game, but I doubt it.) 
> > 
> >Just some thoughts... 
> > 
> >Richard 
> > ----- Original Message ----- 
> > From: Al Venosa 
> > To: amibroker@xxxxxxxxxxxxxxx 
> > Sent: Tuesday, June 18, 2002 9:57 AM 
> > Subject: Re: [amibroker] Re: MetaStock and 
AmiBroker 
> > 
> > 
> > Well, Richard, to be honest, I haven't yetdone 
any back (er, I mean forward) testing of the random time bars 
created by Scrambler. However, I have looked at the results of 
randomly scrambling the bars and watching them form on the screen, 
and you can see definite trends develop that can last several 
months, much like in real life. So, at least theoretically, it seems 
to me that, if you are testing a short-term or intermediate-term 
trend-following system, it ought to be able to pick up on those 
short, seemingly non-random trends (even though they were developed 
from a random number generator). Remember, if you flip an honest 
coin 1000 times, there is a low but finite probability that it will 
come up heads 10 or 12 or 15 times in a row. 
> > 
> > AV 
> > 
> > 
> > >From: "Richard Alford" 
> > 
> > >Reply-To: amibroker@xxxxxxxxxxxxxxx 
> > >To: 
> > >Subject: Re: [amibroker] Re: MetaStockand 
AmiBroker 
> > >Date: Tue, 18 Jun 2002 09:48:35 -0500 
> > > 
> > >I understood that the underlying premise of 
technical analysis was that there IS information in the price-volume 
behavior. If you test against random data the results had better 
result in random behavior - perhaps mean behavior is more accurate. 
> > > 
> > >Perhaps I am delusional, however, I would 
appreciate insight into the value of random time bars? 
> > > 
> > >Cordially, 
> > >Richard 
> > > ----- Original Message ----- 
> > > From: Al Venosa 
> > > To: amibroker@xxxxxxxxxxxxxxx 
> > > Sent: Tuesday, June 18, 2002 9:23 AM 
> > > Subject: Re: [amibroker] Re: MetaStock and 
AmiBroker 
> > > 
> > > 
> > > Sorry, Dimitris, I thought you knew about 
it. Go to post 19331 and download it, following Leo Timmerman's 
instructions. What he has done is created a VBscript tool basedon 
Tuchar Chande's price bar scrambler that scrambles all the barsof a 
given ticker from the previous x bars (bars and ticker set by the 
user) and then re-orders those bars randomly into the future, thus 
creating a ticker that you can use in forward-testing. If you set 
the no. of bars to, say, 130, you can generate 6 months worth of new 
data for each ticker you do this on. Very, very cool. It differs 
from William's Simulator in that it actually generates new data 
rather than repeating existing data from the last x bars. Try it, 
you'll like it. 
> > > 
> > > Al Venosa 
> > > 
> > > >From: "dtsokakis" 
> > > 
> > > >Reply-To: amibroker@xxxxxx 
> > > >To: amibroker@xxxxxxxxxxxxxxx 
> > > >Subject: [amibroker] Re: MetaStock and 
AmiBroker 
> > > >Date: Tue, 18 Jun 2002 13:49:30 -0000 
> > > > 
> > > >What is Leo's scrambler ?? 
> > > >DT 
> > > >--- In amibroker@xxxx, "Al Venosa" 
wrote: 
> > > > > 
> > > > 
> > > 
> > > 
> > 
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