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Tomasz,
Since we use amibroker [I hope you use it too !!], let us see what we
have:
1. AMA(C,1/10) is 1-1 equivalent to Wilders(C,10) [true]
2. AMA(C,1/20) is 1-1 equivalent to Wilders(C,20) [true]
3. There exists a line AMA(C,x) for x variable and 1/20<=x<=1/10
[true]
4. Wilders(C,Z), for Z variable, does not exist [true]
I propose to stop at this [interesting and useful] point and not to
adopt that
"AMA(C,x) is equivalent to the [non existing] Wilders(C,1/x), for
x=variable"
because
a. we have no evidence for the truth of the last statement
b. its use has internal [logical] contradiction [we do not know if
the "analogy" from fixed to variable exists]
If you ever decide, in the future, to add EMA or Wilders with
variable period, please consider these thoughts or feel very safe for
the "analogy".
Dimitris Tsokakis
--- In amibroker@xxxxxxxxxxxxxxx, "DIMITRIS TSOKAKIS" <TSOKAKIS@xxxx>
wrote:
> Tomasz,
> I clearly understand the recursive nature of these functions.
> This is not the subject.
> The question is : Can we call "equivalent" two never touching
lines ?
> It is somehow tricky to ask from the user to accept the following
> story:
> 1. Wilders(C,x) is N/A for variable x
> 2. For fixed x the Wilders(C,x)=AMA(C,1/x) is true
> 3. Please accept the "analog" meaning for the argument
> Arg. 1 : Wilders(C,x) is *also* AMA(C,1/x) *even when* x is variable
> or
> Arg. 2 : You may call AMA(C,1/x) as Wilders(C,x), x variable,
> *because* AMA(C,1/x) *is* Wilders(C,x), when x=fixed !!
>
> We have no evidence that this "analogy" exists and, form my
experiece
> in Physics, it is dangerous to speak [and use] for analogies just
> because we like them.
> From this point of view, it is better not to have variable periods
> for EMA, Wilders. Now, AMA(C,1/x) , 10<=x<=20 is an interesting
> line "between" AMA(C,1/10) and AMA(C,1/20) and this could be the
> happy end of the story. If someone needs to call it Wilders with
> variable period, it is OK, but there is no evidence to do it.
> Dimitris Tsokakis
> --- In amibroker@xxxxxxxxxxxxxxx, "Tomasz Janeczko"
<amibroker@xxxx>
> wrote:
> > Dimitris,
> >
> > The explanation should be obvious to someone with the deep
> background
> > in physics and mathematics as you.
> >
> > The reason is that AMA, EMA, TEMA, DEMA, Wilders
> > are all recursive functions. See
> > http://www.amibroker.com/guide/afl/afl_view.php?name=AMA
> > and
> > http://www.amibroker.com/guide/afl/afl_view.php?name=DEMA
> >
> > for detailed recursive algorithm.
> >
> > What does it mean? It means that current value depends
> > on input data array and PREVIOUS value of the indicator.
> > The PREVIOUS value includes the value of "previous-previous" value
> > and so on.
> > Now if you change the period every bar all these changes (for all
> previous bars)
> > affect current bar value and that's why variable period AMA is
> smooth and
> > does not jump from Wilders10-Wilders11.
> >
> > Best regards,
> > Tomasz Janeczko
> > amibroker.com
> > ----- Original Message -----
> > From: "DIMITRIS TSOKAKIS" <TSOKAKIS@xxxx>
> > To: <amibroker@xxxxxxxxxxxxxxx>
> > Sent: Wednesday, October 15, 2003 1:36 PM
> > Subject: [amibroker] Re: MA, DEMA and TEMA can take array
> parameters, but EMA can't?
> >
> >
> > > Tomasz,
> > > How do we understand this equivalence ?
> > > x=10+(Cum(1)%11);
> > > is equal to 10 every 11 bars.
> > > The
> > > Wp=10;Plot(Wilders(C,Wp),"Wilders",1,1);
> > > and
> > > Plot(AMA(C,1/x),"AMA",7,8);
> > > do not touch every 11 bars...
> > > The same with Wilders(c,20).
> > > See, for example the
> > >
> > > x=10+(Cum(1)%11);
> > > Wp10=10;Plot(Wilders(C,Wp10),"Wilders10",1,1);
> > > Wp20=20;Plot(Wilders(C,Wp20),"Wilders20",1,1);
> > > Plot(AMA(C,1/X),"AMA",7,1);
> > > Plot(AMA(C,1/10),"AMA 1/10",4,8);
> > > Plot(AMA(C,1/20),"AMA 1/20",4,8);
> > >
> > > AMA(C,1/10) is 1-1 equivalent to Wilders(C,10).
> > > On the other side, AMA(C,1/X) touches only by coincidence the
> Wp10 or
> > > Wp20.
> > >
> > > Dimitris Tsokakis
> > > --- In amibroker@xxxxxxxxxxxxxxx, "Tomasz Janeczko"
> <amibroker@xxxx>
> > > wrote:
> > > > Stephane,
> > > >
> > > > That's true but Wilders is nothing more nothing less than
just
> AMA
> > > > with 1/n smoothing factor.
> > > >
> > > > Wilders( array, N ) =>>> AMA( array, 1 / N )
> > > >
> > > >
> > > > Best regards,
> > > > Tomasz Janeczko
> > > > amibroker.com
> > > > ----- Original Message -----
> > > > From: "Stephane Carrasset" <nenapacwanfr@xxxx>
> > > > To: <amibroker@xxxxxxxxxxxxxxx>
> > > > Sent: Wednesday, October 15, 2003 1:03 PM
> > > > Subject: [amibroker] Re: MA, DEMA and TEMA can take array
> > > parameters, but EMA can't?
> > > >
> > > >
> > > > > Hi, Dimitri,
> > > > >
> > > > > Wilders does not accept variable period
> > > > >
> > > > > Plot(Wilders(C,RSI(3)),"",2,1);
> > > > >
> > > > > return a bad argument
> > > > >
> > > > > stepghane
> > > > >
> > > > >
> > > > > <nenapacwanfr@xxxx> wrote:
> > > > > > Dimitri,
> > > > > >
> > > > > > I didn't know that wilders accept variable period...
> > > > > > Thanks
> > > > > >
> > > > > > Stephane
> > > > > >
> > > > > > > Dave,
> > > > > > > I have posted in the files section the varPER.txt with
> the
> > > EMA,
> > > > > AMA
> > > > > > > and WILDERS smoothing relations.
> > > > > > > AMA and WILDERS do accept variable periods, like MA.
> > > > > > > You will also find some RSI applications there.
> > > > > > > Dimitris Tsokakis
> > > > > > > --- In amibroker@xxxxxxxxxxxxxxx, "Dave Merrill"
> > > <dmerrill@xxxx>
> > > > > > > wrote:
> > > > > > > > thanks, much appreciated. seems like there's a new
> version
> > > just
> > > > > > out
> > > > > > > too (:-)
> > > > > > > >
> > > > > > > > any chance of variable period RSI, CCI, ROC and the
> rest of
> > > the
> > > > > AB
> > > > > > > > indicators I'm forgetting right now? some of these
I've
> > > coded
> > > > > up
> > > > > > > myself in
> > > > > > > > AFL, but they're much slower than the built in
> versions.
> > > I'd
> > > > > > > imagine your
> > > > > > > > dll would be pretty close to built in speed, yes?
> > > > > > > >
> > > > > > > > dave
> > > > > > > > In Indicators.dll varperiod Indicators are
> > > > > > > > Stochastic
> > > > > > > > GraphXSpace=1;
> > > > > > > > Plot(StochK(9,1),"",colorBlue,1);
> > > > > > > > Plot(scStoch(9),"",colorGreen,1+8);
> > > > > > > > Plot(scStoch(RSI(14)),"",colorRed,1);
> > > > > > > >
> > > > > > > > Ema
> > > > > > > > Plot(EMA(C,21),"",colorBlue,1);
> > > > > > > > Plot(scEMA(C,21),"",colorGreen,1+8);
> > > > > > > > Plot(scEMA(C,RSI(14)),"",colorRed,1);
> > > > > > > > Plot(C,"",1,64);
> > > > > > > >
> > > > > > > > Linregslope
> > > > > > > > Plot(LinRegSlope(C,21),"",colorBlue,1);
> > > > > > > > Plot(scLinRegSlope(C,21),"",colorGreen,1+8);
> > > > > > > > Plot(scLinRegSlope(C,RSI(14)),"",colorRed,1);
> > > > > > > >
> > > > > > > > MFI // just added today
> > > > > > > > Plot(MFI(21),"",colorBlue,1);
> > > > > > > > Plot(scMFI(21),"",colorGreen,1+8);
> > > > > > > > Plot(scMFI(RSI(14)),"",colorRed,1);
> > > > > > > >
> > > > > > > >
> > > > > > > >
> > > > > > > >
> > > > > > > > > thanks stephane, I'll take a look. until I do,
can
> you
> > > tell
> > > > > > me
> > > > > > > if
> > > > > > > > it also
> > > > > > > > > contains variable period versions of other built
in
> AB
> > > > > > > indicators?
> > > > > > > > other
> > > > > > > > > than allowing variable periods, do they perform
the
> > > same as
> > > > > > the
> > > > > > > > native
> > > > > > > > > versions? if so, that'd be a nice workaround
until
> > > variable
> > > > > > > periods
> > > > > > > > are a
> > > > > > > > > native AB capability for everything.
> > > > > > > > >
> > > > > > > > > dave
> > > > > > > > > if you want, in indicators.dll there is a Ema
> with
> > > > > variable
> > > > > > > period
> > > > > > > > >
> > > > > > > > > Plot(scEMA(C,RSI(14)),"",colorRed,1);
> > > > > > > > > Plot(C,"",1,64);
> > > > > > > > >
> > > > > > > > >
> > > > > > > > > stephane
> > > > > > > >
> > > > > > > >
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