Re: Bimodal distribution
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Help for DL students in doing assignments
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. = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Help for DL students in doing assignments
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Are parametric assumptions importat ?
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. = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Help for DL students in doing assignments
- 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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Help for DL students in doing assignments
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. = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
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Re: Final Exam story
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
some GARCH questions (long)
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Faculty positions in statistics
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. = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Help for DL students in doing assignments
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Help for DL students in doing assignments
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ = == dennis roberts, penn state university educational psychology, 8148632401 http://roberts.ed.psu.edu/users/droberts/drober~1.htm = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Help for DL students in doing assignments
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. = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Squared CUSUM
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Help for DL students in doing assignments
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ = = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Help for DL students in doing assignments
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. = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ = -- Alan McLean ([EMAIL PROTECTED]) Department of Econometrics and Business Statistics Monash University, Caulfield Campus, Melbourne Tel: +61 03 9903 2102Fax: +61 03 9903 2007 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: Help for DL students in doing assignments
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ = -- Alan McLean ([EMAIL PROTECTED]) Department of Econometrics and Business Statistics Monash University, Caulfield Campus, Melbourne Tel: +61 03 9903 2102Fax: +61 03 9903 2007 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =
Re: samp. w or w/o replacement
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 = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ = -- 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? = Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =