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Thread Subject:
Normal transformation

Subject: Normal transformation

From: Anand Anand

Date: 10 Oct, 2010 12:18:04

Message: 1 of 4

Hi all,
 I am trying to fit a polynomial between a random variable and a normal random variable..but I read that the polynomial should be strictly monotonic in a technical paper.Why is that so?what if the polynomial was not monotonic?

Subject: Normal transformation

From: John D'Errico

Date: 10 Oct, 2010 12:31:03

Message: 2 of 4

"Anand Anand" <tranand3@gmail.com> wrote in message <i8sats$7rk$1@fred.mathworks.com>...
> Hi all,
> I am trying to fit a polynomial between a random variable and a normal random variable..but I read that the polynomial should be strictly monotonic in a technical paper.Why is that so?what if the polynomial was not monotonic?

Surely it depends on what you are doing, and why you
are doing it?

You CAN fit a polynomial that has any behavior at all.
But your goals in this problem are paramount. They
will drive whether a monotonic polynomial is an
important thing.

John

Subject: Normal transformation

From: Anand Anand

Date: 10 Oct, 2010 15:39:04

Message: 3 of 4

"John D'Errico" <woodchips@rochester.rr.com> wrote in message <i8sbm7$np8$1@fred.mathworks.com>...
> "Anand Anand" <tranand3@gmail.com> wrote in message <i8sats$7rk$1@fred.mathworks.com>...
> > Hi all,
> > I am trying to fit a polynomial between a random variable and a normal random variable..but I read that the polynomial should be strictly monotonic in a technical paper.Why is that so?what if the polynomial was not monotonic?
>
> Surely it depends on what you are doing, and why you
> are doing it?
>
> You CAN fit a polynomial that has any behavior at all.
> But your goals in this problem are paramount. They
> will drive whether a monotonic polynomial is an
> important thing.
>
> John
the random variable Y follows some prob distribution and I am trying to fit the polynomial with values of the normal distribution N so that my output Y is a cubic function of N..so why should it be monotonic?

Subject: Normal transformation

From: Torsten Hennig

Date: 11 Oct, 2010 06:35:30

Message: 4 of 4

> "John D'Errico" <woodchips@rochester.rr.com> wrote in
> message <i8sbm7$np8$1@fred.mathworks.com>...
> > "Anand Anand" <tranand3@gmail.com> wrote in message
> <i8sats$7rk$1@fred.mathworks.com>...
> > > Hi all,
> > > I am trying to fit a polynomial between a random
> variable and a normal random variable..but I read
> that the polynomial should be strictly monotonic in a
> technical paper.Why is that so?what if the polynomial
> was not monotonic?
> >
> > Surely it depends on what you are doing, and why
> you
> > are doing it?
> >
> > You CAN fit a polynomial that has any behavior at
> all.
> > But your goals in this problem are paramount. They
> > will drive whether a monotonic polynomial is an
> > important thing.
> >
> > John
> the random variable Y follows some prob distribution
> and I am trying to fit the polynomial with values of
> the normal distribution N so that my output Y is a
> cubic function of N..so why should it be monotonic?

Maybe you want to fit the cumulative density functions -
and these are monotonically increasing.

Best wishes
Torsten.

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