Re: Bimodal distribution

2001-10-15 Thread Robert J. MacG. Dawson



Desmond Cheung wrote:
 
 Is there any mathematical analysis to find how much the two peaks stand
 out from the other data? Is there any formulas to find the
 variance/deviation/etc that's similar to the unimodal distribution case?

In answer to the latter question - excatly the ones you use in the
unimodal case. 

If you want to find the breadth of *one* peak, that is more difficult
and in general there is no canonical way to do so. 

-Robert Dawson


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Re: Help for DL students in doing assignments

2001-10-15 Thread Dr. Fairman

Stuart Gall [EMAIL PROTECTED] wrote in message 
news:9qa466$4je$[EMAIL PROTECTED]...

 Dr. Fairman [EMAIL PROTECTED] wrote in message

 [EMAIL PROTECTED]">news:[EMAIL PROTECTED]...

 


 Well no I am afraid not, because although for all p prime p = 2*n+1 is true

 it is not true that for all n n in N 2*n+1 is prime which is what you would

 need for your proof to be valid.

 

 Are you pulling my leg in return? if so touche :-)

 If you are not pulling my leg, I would say that the probability that you

 have a PhD in mathematics and do not recognise Q2 is vanishingly small.

 

 PS if you can solve Q1 you could make much more money by publshing the

 solution in a book.

Hello Stuart,
1.Is sum of every two odds = even ? (Y/N)
Answer: Yes.
2.Is any prime is odd? (Y/N)
Answer: Yes.
3.Generalizing item #1 and #2,
   Is sum of any two primes = even ? (Y/N)
Answer: Yes.
4.If you agree with item #3 (if not - please argue -  why), it means that
you are also agree with the statement:
every even is (in particular) sum of any two primes.
That's what you needed me to prove.

Do you still have any objections?
If YES - please argue, what of my items are wrong and why.

Dr. Fairman.


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Re: Help for DL students in doing assignments

2001-10-15 Thread Robert J. MacG. Dawson


Well, they do say what goes around comes around; I'd love to see what
mark the dishonest DL student gets having had his homework done for him
by somebody who:

(a) believes all primes to be odd;
(b) believes that A=B  implies B=A; 
(c) has never heard of Goldbach's conjecture;
(d) expects despite this to pass as a PhD in mathematics 
among an audience containing many such.


-Robert Dawson


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Re: Are parametric assumptions importat ?

2001-10-15 Thread Michael Prager

Voltolini wrote:
  Hi, I am Biologist preparing a class on experiments in ecology including
 a short and simple text about how to use and to choose the most commom
 statistical tests (chi-square, t tests, ANOVA, correlation and regression).
 
 I am planning to include the idea that testing the assumptions for
 parametric tests (normality and homocedasticity) is very important
 to decide between a parametric (e.g., ANOVA) or the non parametric
 test (e. g. Kruskal-Wallis).

Since this is a class on experiments in ecology, how about
having the students do an experiment?  Would a Monte Carlo
simulation of robustness to certain assumptions be too much to
ask of them?  (If so, is there a way you could do some of it to
make the rest easier for them?)  It need not be publishable --
just enough to give them some feeling for the problems involved,
rather than considering the assumptions unimportant except
academically.

I'll never forget my first ecology lab, in which we marked beans
with nail polish and recaptured them from a jar.  The variablity
in ensuing population estimates was an eye-opener, and it
simpact could not have been achieved by a lecture on the
importance of assumptions.

-- 
Mike Prager
NOAA, Beaufort, NC
* Opinions expressed are personal and not represented otherwise.
* Any use of tradenames does not constitute a NOAA endorsement.


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Re: Help for DL students in doing assignments

2001-10-15 Thread Rich Ulrich

 - Mathematical logic is a lot tougher when your
translation fails to properly distinguish any and
every  and some.


On 15 Oct 2001 07:18:43 -0700, [EMAIL PROTECTED] (Dr. Fairman) wrote:

[ ... ]

 4.If you agree with item #3 (if not - please argue -  why), it means that
 you are also agree with the statement:
 every even is (in particular) sum of any two primes.
 That's what you needed me to prove.

Needed:
Every even number can be written as the sum of two primes or
For [each] even number  S, there always exists two prime numbers
K and L  such that S= K+L.

Stated by Fairman, 
as read by me (a native speaker of English),
If K and L are *any*  two primes,  and S is any even number, 
it is true that S = K+L .  

That is true for arithmetic-modulo-2.  Otherwise, not.

-- 
Rich Ulrich, [EMAIL PROTECTED]
http://www.pitt.edu/~wpilib/index.html


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Re: Help for DL students in doing assignments

2001-10-15 Thread Stuart Gall

 Hello Stuart,
 1.Is sum of every two odds = even ? (Y/N)
 Answer: Yes.
 2.Is any prime is odd? (Y/N)
 Answer: Yes.
 3.Generalizing item #1 and #2,
Is sum of any two primes = even ? (Y/N)
 Answer: Yes.
 4.If you agree with item #3 (if not - please argue -  why), it means that
 you are also agree with the statement:
 every even is (in particular) sum of any two primes.
 That's what you needed me to prove.
No it is the CONVERSE
4 does not follow from 3

I did not ask you to prove that the sum of any two primes is even.
I asked you to prove that any even number is the sum of two primes.

If you do not understand the diferance between these two statements you do
not even have an undergraduate qualification in mathematics

If you take any two primes their sum is OBVIOUSLY even.
BUT given a particular even number how can you be sure that for the given
even number there exist two primes which when added together equal the given
even number and not some other even number.

This problem has a name, if you had a PhD in mathematics you would know it
The Goldbach Conjecture.

Well it has been nice having this chat, I am afraid I have to kill you now
sorry.

--

Stuart Gall

This message is not provable.
Dr. Fairman [EMAIL PROTECTED] wrote in message
[EMAIL PROTECTED]">news:[EMAIL PROTECTED]...
 Stuart Gall [EMAIL PROTECTED] wrote in message
news:9qa466$4je$[EMAIL PROTECTED]...

  Dr. Fairman [EMAIL PROTECTED] wrote in message

  [EMAIL PROTECTED]">news:[EMAIL PROTECTED]...

 


  Well no I am afraid not, because although for all p prime p = 2*n+1 is
true

  it is not true that for all n n in N 2*n+1 is prime which is what you
would

  need for your proof to be valid.

 

  Are you pulling my leg in return? if so touche :-)

  If you are not pulling my leg, I would say that the probability that you

  have a PhD in mathematics and do not recognise Q2 is vanishingly small.

 

  PS if you can solve Q1 you could make much more money by publshing the

  solution in a book.


 Do you still have any objections?
 If YES - please argue, what of my items are wrong and why.

 Dr. Fairman.



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subscribe

2001-10-15 Thread Miguel Alexandre Soares



subscribe


Re: Final Exam story

2001-10-15 Thread Jon Miller

Robert J. MacG. Dawson wrote:

 (On the other hand if they are in political science or international
 relations and have read Schelling on The Strategy of Conflict, they will
 probably all pick the left front tire (or right front in Britain), as the most
 distinct one. In fact,  experiments have shown that this sort of spontaneous
 agreement *does* occur even without special training!)

Clearly, this means that statisticians can be taken.  The question is, how much
research does it take and is it worth it?

Jon Miller



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some GARCH questions (long)

2001-10-15 Thread David B

I am trying to estimate a univariate  TARCH (-X) model by Maximum Likelihood
from about 4000 data points using Excel and its Solver. And... It seems to
work !
Still, I would like to know :

1) Is Excel solver really trustworthy on such an issue (or more generally
for quite complex estimation problem) ? The reason I am asking is that I
have many times heard concerning similar issues Yeah, true, Excel can do it
*sniggering* , but it was not designed for it, so you better not use it for
this.

My problem is I have weak numerical analysis and programming skills.
Besides, Excel is extremely convenient for manipulating data extensively and
quickly. So i'd prefer to stick with Excel unless it really cannot handle
such problems (I don't care for waiting 5 seconds).
However, I could deal with a little bit of numerical analysis if I had some
clear guide (say with matlab, or maybe C++...or Excel) which brings me to my
second question :

2) Would you know of some link(s) with really synthetic papers/courses
covering *estimation*, *testing*, and *goodness of fit*, including
computational aspects, on univariate TARCH-X model (or maybe just GARCH) ?
(I am really not looking for very theoretical papers on precisely one kind
of aspect of GARCH models)

Thank you for reading.

David B




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Faculty positions in statistics

2001-10-15 Thread rchagant

Please post and circulate among your students and
colleagues.  Thank you so much. -Rao Chaganty

***

FACULTY POSITIONS, TENURE TRACK
DEPARTMENT OF MATHEMATICS AND STATISTICS
OLD DOMINION UNIVERSITY, NORFOLK, VIRGINIA

Applications are invited for two or more tenure-track faculty
positions in the Department of Mathematics and Statistics at
Old Dominion University.  It is anticipated that at least one
of the successful candidates will be from an area of statistics
or probability, including applied statistics, computational
statistics, or biostatistics.

Successful candidates will have a Ph.D. in mathematics, statistics,
or a related field, strong demonstrated or potential ability to
build a sponsored research program, excellent pedagogical skills,
and a desire to teach at both undergraduate and graduate levels.
Effective communication skills are required. Candidates should
be interested in contributing to a strong interdisciplinary
atmosphere within the College of Sciences. It is anticipated that
all appointments will be made at the Assistant Professor level;
however, outstanding candidates of higher rank will be considered
as resources permit.

Old Dominion University is a Carnegie Doctoral/Research Extensive
institution with 19,000 students and over 600 full-time faculty.
The Department of Mathematics and Statistics is one of seven
degree-granting units in the College of Sciences and currently
has 25 full-time faculty. The department offers B.S., M.S., and
Ph.D. degrees.  Current departmental research foci include:
biostatistics, generalized linear models, mathematical statistics,
multivariate analysis, acoustics, approximation and optimization,
elasticity and fracture mechanics, theoretical and computational
fluid dynamics, mathematical biology, nonlinear waves, numerical
analysis, radiation transport, reaction-diffusion systems, and
soliton theory.

A Center for Computational Science, in which the department plays
a prominent role, has recently been established, with funding
from the DOE, NSF, and NASA.  Excellent collaborative research
and educational opportunities are available at the NASA-Langley
Research Center, Thomas Jefferson National Accelerator Facility,
Eastern Virginia Medical School, and the Virginia Modeling,
Analysis and Simulation Center. Further information regarding
the department and these positions may be obtained at
http://www.math.odu.edu.

Interested individuals should forward a letter of interest
and a copy of their curriculum vitae, including a teaching
philosophy and a research prospectus and the names and contact
information for three or more professional references to:
Search Committee, Department of Mathematics  Statistics,
Old Dominion University, Norfolk, VA 23529-0077. Review of
applications will begin on 7 January 2002 and will continue
until the positions are filled. Old Dominion University is
an equal opportunity, affirmative action institution and
requires compliance with the Immigration Reform and
Control Act of 1986.



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Re: Help for DL students in doing assignments

2001-10-15 Thread Nomen Nescio


Mr. Dawson wrote:

Well, they do say what goes around comes around; I'd love to see what
mark the dishonest DL student gets having had his homework done for him
by somebody who:

(a) believes all primes to be odd;
...
###  Let's assume that any prime is NOT odd
###  It means that is is even (no other way among integers!)
###  So that prime has 3 dividers: 1,this prime and 2
###  which contradicts with prime definition:
###  (prime is integer that has only two dividers: 1 and this prime itself)
###  Dear Mr. Dawson, please send me at least ONE even prime
###  and i shall give you $1,000,000.


-Robert Dawson






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Re: Help for DL students in doing assignments

2001-10-15 Thread Ronny Richardson

At 10:40 PM 10/15/01 +0200, you wrote:
###  Dear Mr. Dawson, please send me at least ONE even prime
###  and i shall give you $1,000,000.


Well, I am not Mr. Dawson but two (2) is both prime and even. You can send
the check to the address below.


Dr. Ronny Richardson
Associate Professor of Management
Southern Polytechnic State University
Management Program
1100 South Marietta Parkway
Marietta, GA  30060-2896

Phone:  (770) 528-5542
Fax:(770) 528-4967


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Re: Help for DL students in doing assignments

2001-10-15 Thread dennis roberts

a prime # is a natural number GREATER than 1 that can be divided ONLY by 1 
and itself ... a prime number has NO factors other than 1 and itself

i think 2 qualifies ... and is not 2 ... even?

send check to bob ASAP

At 10:40 PM 10/15/01 +0200, you wrote:

 Mr. Dawson wrote:

 Well, they do say what goes around comes around; I'd love to see 
 what
 mark the dishonest DL student gets having had his homework done for him
 by somebody who:
 
 (a) believes all primes to be odd;
 ...
###  Let's assume that any prime is NOT odd
###  It means that is is even (no other way among integers!)
###  So that prime has 3 dividers: 1,this prime and 2
###  which contradicts with prime definition:
###  (prime is integer that has only two dividers: 1 and this prime 
itself)
###  Dear Mr. Dawson, please send me at least ONE even prime
###  and i shall give you $1,000,000.

 
 -Robert Dawson






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==
dennis roberts, penn state university
educational psychology, 8148632401
http://roberts.ed.psu.edu/users/droberts/drober~1.htm



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Re: Help for DL students in doing assignments

2001-10-15 Thread meeroh

In article 9qf3la$1b2$[EMAIL PROTECTED],
 Stuart Gall [EMAIL PROTECTED] wrote:

If you take any two primes their sum is OBVIOUSLY even.

Such as 2 and 3 :-)

But I know what you meant, and I know what your point is, so we can both 
killfile him now...

meeroh
-- 
Using random signatures is as simple as putting text files into a folder called 
Random Signatures in your Preferences folder.


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Squared CUSUM

2001-10-15 Thread David B

Hi,

I am looking for some synthetic (or even some not so synthetic)
papers/courses about the squared CUSUM test of stability on the web (I
didn't manage to find any and it seems to be just beyond standard statistics
textbooks). Anyone having something about it please?


David B




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Re: Help for DL students in doing assignments

2001-10-15 Thread Reg Jordan

Well, OK. But one of the conditions of this pathetically drawn out pissing
match was ...for any prime greater than 2...

Perhaps this thread can now be put mercifully to rest.

reg
- Original Message -
From: Ronny Richardson [EMAIL PROTECTED]
To: Nomen Nescio [EMAIL PROTECTED]; [EMAIL PROTECTED]
Sent: Monday, October 15, 2001 5:02 PM
Subject: Re: Help for DL students in doing assignments


 At 10:40 PM 10/15/01 +0200, you wrote:
 ###  Dear Mr. Dawson, please send me at least ONE even prime
 ###  and i shall give you $1,000,000.


 Well, I am not Mr. Dawson but two (2) is both prime and even. You can send
 the check to the address below.


 Dr. Ronny Richardson
 Associate Professor of Management
 Southern Polytechnic State University
 Management Program
 1100 South Marietta Parkway
 Marietta, GA  30060-2896

 Phone:  (770) 528-5542
 Fax:(770) 528-4967


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Re: Help for DL students in doing assignments

2001-10-15 Thread Alan McLean

Ignoring the error in saying (2) that all primes are odd - where has 2
disappeared to? - you are highly confused about the difference between
if ... then  and if and only if  then .

Correcting (3) to: The sum of any two primes greater than 2 is even.

This is true - but it does NOT imply the reverse - that any even number
is the sum of two primes.

Alan


Dr. Fairman wrote:
 
 Stuart Gall [EMAIL PROTECTED] wrote in message 
news:9qa466$4je$[EMAIL PROTECTED]...
 
  Dr. Fairman [EMAIL PROTECTED] wrote in message
 
  [EMAIL PROTECTED]">news:[EMAIL PROTECTED]...
 
 
 
  Well no I am afraid not, because although for all p prime p = 2*n+1 is true
 
  it is not true that for all n n in N 2*n+1 is prime which is what you would
 
  need for your proof to be valid.
 
 
 
  Are you pulling my leg in return? if so touche :-)
 
  If you are not pulling my leg, I would say that the probability that you
 
  have a PhD in mathematics and do not recognise Q2 is vanishingly small.
 
 
 
  PS if you can solve Q1 you could make much more money by publshing the
 
  solution in a book.
 
 Hello Stuart,
 1.Is sum of every two odds = even ? (Y/N)
 Answer: Yes.
 2.Is any prime is odd? (Y/N)
 Answer: Yes.
 3.Generalizing item #1 and #2,
Is sum of any two primes = even ? (Y/N)
 Answer: Yes.
 4.If you agree with item #3 (if not - please argue -  why), it means that
 you are also agree with the statement:
 every even is (in particular) sum of any two primes.
 That's what you needed me to prove.
 
 Do you still have any objections?
 If YES - please argue, what of my items are wrong and why.
 
 Dr. Fairman.
 
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-- 
Alan McLean ([EMAIL PROTECTED])
Department of Econometrics and Business Statistics
Monash University, Caulfield Campus, Melbourne
Tel:  +61 03 9903 2102Fax: +61 03 9903 2007


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Re: Help for DL students in doing assignments

2001-10-15 Thread Alan McLean

Can I claim the $1,000,000?
There is certainly an even prime: 2.
Alan


Nomen Nescio wrote:
 
 Mr. Dawson wrote:
 
 Well, they do say what goes around comes around; I'd love to see what
 mark the dishonest DL student gets having had his homework done for him
 by somebody who:
 
 (a) believes all primes to be odd;
 ...
 ###  Let's assume that any prime is NOT odd
 ###  It means that is is even (no other way among integers!)
 ###  So that prime has 3 dividers: 1,this prime and 2
 ###  which contradicts with prime definition:
 ###  (prime is integer that has only two dividers: 1 and this prime itself)
 ###  Dear Mr. Dawson, please send me at least ONE even prime
 ###  and i shall give you $1,000,000.
 
 
 -Robert Dawson
 
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 Instructions for joining and leaving this list and remarks about
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-- 
Alan McLean ([EMAIL PROTECTED])
Department of Econometrics and Business Statistics
Monash University, Caulfield Campus, Melbourne
Tel:  +61 03 9903 2102Fax: +61 03 9903 2007


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Re: samp. w or w/o replacement

2001-10-15 Thread Jay Warner

Dennis Roberts wrote:

 seems to me that if you are talking about, for example, generating a
 sampling distribution of means, ... then each and every SRS is assumed to
 be randomly and INDEPENDENTLY drawn from said population ... thus, sampling
 with replacement is assumed

 if not, each NEXT sample is not being drawn from the defined population.

Most true.  W/o replacmeent makes sense if one is inspecting product off a line,
where flawed pieces are not put back into the shippable group.  And even then,
the original population is defined as 'what can exit the production line,' Only
when we discuss what the customer recieves do we care that that population is
'what passed inspection.'

But this is getting far, far afield from the original questions.



 at the individual CASE level ... or individual EXPERIMENT level ...  seems
 like it makes no sense to talk about sampling with or without replacement ...

 so, sampling with or without replacement seems like it only makes sense
 when you are talking about taking multiple samples ... and whether the
 population stays constant when each new sample is taken

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--
Jay Warner
Principal Scientist
Warner Consulting, Inc.
 North Green Bay Road
Racine, WI 53404-1216
USA

Ph: (262) 634-9100
FAX: (262) 681-1133
email: [EMAIL PROTECTED]
web: http://www.a2q.com

The A2Q Method (tm) -- What do you want to improve today?






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