Z-Score Kit

Hi Global, I'm afraid I fibbed a bit in the Mu descriptions.

Even though a Mu average is made up of a "population" of 9 TFs, one still needs to select a specific SMA Period.

How to be sure the "right" choice has been made for the best reads on different Pairs and market cycles?
Something standard, 20-25 Period on all Pairs at all times, would at least allow for comparison.

It appears these "Mus" are just "samples" from another "population", made up this time of SMA Periods!
And when one starts plotting such series of "Mu value versus Period", things get interesting in a hurry.

We wind up with a data display that is invariant over both; selection of Time Frame *and* SMA Period.

The very long monthly periods consume a large part of the market.
Ten to twenty years are needed to calculate the first SMAs over 120 to 240 Bars.
An impressive volume of data, culled over decades, winds up as on-tick values on Bar #0.

This is a spin-off from Mu and Average Joe.mq4, so the initial view is overlaid:
Current USDCHF. Gold lines have been plotted for Periods 2 to 127, a total of 126.

The range of price values covers 193 Pips. The Red Line is a calculated "Super Mu" at 0.9190
An SD for the distribution is found at 62.2 pips and that will be seen in the next few images also.
In general SDs found will be much lower than those from the 9 SMA distributions.

More to follow.

Mostly pics will be shown. It is all a result from dirty code so please excuse irregular lay outs.

USDCHF has been chosen, because the very long down trend there has set-up a well fanned out distribution.

The same invariant 193 pips range and an SD at 62.6 pips:
Current USDCHF. Periods 2 to 127, a total of 126 lines.

A beautiful drapery, just a touch of scroll-work at the bottom from the most recent PA.

The line length is set according to SMA Period; The longest Period at 127 is seen at the very top.
The shortest Period, at 1, can stand in for Bid, but is not counted or used to calculate the SD.

"A hack a day, keeps dealer at bay."

Using the SD of 62.6 pips, a Z-score can be found for each Period line.

Super Mu, the Red line is at 0.9190 (some details in the Comment), and Price Deviations are counted from there.
The Dark Green line at 0.9171, is the Median. Blue stripes show where the original Period-length lines were drawn:


Using y values set from the individual z-scores, a pure Normal Distribution appears out of nowhere.
And it's an absolute gimmy. It draws itself, nothing needed like the Bell Demo and lots of code.

give me all indicator with explanation

That last picture looks Standard Normal, because no SD was used for the y values. Below that correction has been made.
The full USDCHF History available on mt4, allows to use a longest Period of 253.

So, the very oldest data point to start shaping this distribution is 506 months old and I don't care to add that all up.
According to the handbook, every pip is accounted for and every law of nature respected:

The SD for this new distribution is 145 pips and the range 416 pips.

y values are displayed now and because the lay-out covers only a few Bars, actual "binning" occurs.

Some detail on how the y numbers run:


This ain't babypips anymore ;-)

Hello Hasib,
I'm glad to say all my work is made freely available, when ready.
What can be seen in the present posts is not "an" indicator but some, to me, unknown statistical description.

So, I can not give any explanations now, just show some more ...

The image from last post, seen at scale over the last 15 years or so:


Remember the drapery from the first pic in this series?
That is a representation of this very large and long move.

Phew... this is babypips for prodigies :-) I'm a bit lost. I'm hoping that out of all this I can take away the ability to make a more accurate forecasts of the future direction of the current candle based on what was happening when it opened.

Yes global, I agree with all that and share that hope.
[Sorry, I edited out some nonsense here.]
This all looks impressive enough to work up and that is needed anyway to form an opinion.

A follow up on the EURUSD:
EURUSD in these two images. Top view shows 126 Period averages; Period length versus Price Value.
This is not a fixed result, it updates on every new tick or bar changes.
That seems a bit harsh on resources and has not been tested.

Next view, after finding the SD, z-scores and y values for all elements:
The Red line again is the calculated Main Average and the distribution looks Normal enough, tail and all.

More pics, but work is being done on some mq4 to explore these series of Average TF SMAs.
If you catch up here, please read at least from post #36 and up.

The Mu concept is repeated here over many Periods, possibly using half available Monthly Bars.
Certain Pairs allow to download history and calculate 255 Mu averages, others are stuck at 127 at present.

That is the case on EURUSD as seen in last post.
Here a rough SD grid is added with some color graduation. Price values and proportions are correct.
The numbers that deal with SD and Z-scores though, are only indicative so far:

There is no reason to show so many pictures, but beauty before the beast ...
USDCHF revisited from post #45. A full 255 Periods and color graduation:
The Red Main Average and Green Median are important indications, as they relate only to price levels.
They are given results from which to judge probabilities on other moving elements.

A great game in the making, needs a joystick, ammo, fuel. Shields up?

USDJPY is currently trying to bust out of containment.
All Mu Averages have been compressed in a tight distribution, just as BBs will squeeze in consolidation.
Also by analogy, initial explosive Z-scores are found as price starts moving out.

Below averages are shown by Period length versus Price levels:

In the next view line length is determined by Z-scores and shapes the distribution:
Adding information to the first picture on Period numbers, z-scores and y values:

Every Pair shows a unique face and changing disposition. Hi there stranger ... new in town?

00sd Looping Bands.mq4
Please download from first post or from the SD Kit there.

An unusual look at SMAs and their BBs as we loop them through a set of SMA Periods.
That is only done for one TF at a time, so strictly Multi-Period and not MTF.
One should use a Ticker to really enjoy a show and be able to experiment.
Incoming Ticks are required to move things along and PA alone will not do justice.

Best is to use the ticker off-line, so the system can crunch along at 3-10 ticks or better per second.
Avoid profiles with many charts, AV scanning in background, etc. Delete indicator or restart ticker if things slow down.
In order to avoid performance issues, it can be completely de-activated.
Also, it is possible to change Pairs from the Input Box and keep everything on one Chart only.

Additional information on Price levels and SD values (in Pips) is available as an Option and from Data Window.

One can freeze a particular Period, by setting that value as the Maximum and setting the Minimum +1 higher;
Maximum 34 and Minimum 35 will fix a 34 Period SMA/BB, even with ticks coming in.
Manually stepping through from a ticker is most convenient for close looks.

Interesting and amplified views are obtained when using very High levels of Bands Deviation on Short periods.
Squishing the Price Scale all the way isolates pure function plots, like an oscilloscope.

The last options set connecting lines that show the starting Points used for calculating the values of the SMA on each Bar.
It seems as if giant knitting needles are at work and, nutty as it looks, one gets a terrific sense of just how these SMAs take shape.
Also, as the ranges shown by the lines vary, the connection between Variation, SD values and BB levels becomes apparent.

The Great Question remains; Exactly which tail wags which dog from which end?
Have fun now.

Z-score
under test TFW1 SMA20

update for monitoring the W1 compare with TF mean
and change EMA parameter
add Z score to 3 level and mark %

for minotring TF H1
and for support Forex currency pair only (28 currency pairs)

monitoring by pivot point and Z score concept use mead for Typical same as PVT

For monitor trend

Testing

Thank you for you code I under make incicator if finished will be attach

under test if finished willbe attach indicator

please see attach files