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Define truncated normal distribution in MC15

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Hi All,

I'd like to define and use a truncated normal distribution with both lower and upper limits.

I use the general Wikipedia discription for reference:

Truncated normal distribution - Wikipedia, the free encyclopedia

My xmcd file is attached.

I managed to define the PDF function with only lower limit, and check returns its ok (its integral on the lower bound - infinite range equals 1).

However, trying with two limits, the check integral has big values, way more than one.

Can anybody help me with this? I don't see where I made something wrong.

Thanks in advance.

Zsolt

1_truncated-problem-xmcd.zip

Calculus_Derivatives

StuartBruffAnswer

23-Emerald V

Zsolt Roman wrote:

Hi All,

I'd like to define and u,se a truncated normal distribution with both lower and upper limits.

I use the general Wikipedia discription for reference:

Truncated normal distribution - Wikipedia, the free encyclopedia

My xmcd file is attached.

I managed to define the PDF function with only lower limit, and check returns its ok (its integral on the lower bound - infinite range equals 1).

However, trying with two limits, the check integral has big values, way more than one.

Can anybody help me with this? I don't see where I made something wrong.

I think you're double-booking b and a by putting B and A in the pnorm functions.

Stuart

Answer

23-Emerald V

Zsolt Roman wrote:

Hi All,

I'd like to define and u,se a truncated normal distribution with both lower and upper limits.

I use the general Wikipedia discription for reference:

Truncated normal distribution - Wikipedia, the free encyclopedia

My xmcd file is attached.

I managed to define the PDF function with only lower limit, and check returns its ok (its integral on the lower bound - infinite range equals 1).

However, trying with two limits, the check integral has big values, way more than one.

Can anybody help me with this? I don't see where I made something wrong.

I think you're double-booking b and a by putting B and A in the pnorm functions.

Stuart

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23-Emerald V

You don't need to define your own phi. You can just use:

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1-Visitor

Apart from Stuarts and Lucs comments - you missed a sigma when you defined your Phi-function.

And of course you don't need to do so as we have dnorm in Mathcad as you can see:

And as Stuart already remarked, you should not "double normalize" a and b.

LT

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Author

1-Visitor

Thank you for all your answers, issue got solved very quickly.

As for the missing sigma - it was defined out of the formula, in the trf(x) function, as 1/sigma. But anyways, using dnorm is obviously preferred.

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