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13 Pages

### CondExpct

Course: STAT 540, Fall 2008
School: Purdue
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Word Count: 1242

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expectation Jos Conditional Figueroa-Lpez Purdue University Math 515 / Stat 540 Spring, 2008 Conditional expectation Basic denitions and properties Basic denitions Intuition: E(Y |X ) is the best predictor of the random variable Y based on the value of the random variable X . Concretely: E(Y |X ) is the function of X , say f (X ), that is closest&quot; to Y on average; that is, min E (Y g(X )) = E (Y...

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expectation Jos Conditional Figueroa-Lpez Purdue University Math 515 / Stat 540 Spring, 2008 Conditional expectation Basic denitions and properties Basic denitions Intuition: E(Y |X ) is the best predictor of the random variable Y based on the value of the random variable X . Concretely: E(Y |X ) is the function of X , say f (X ), that is closest" to Y on average; that is, min E (Y g(X )) = E (Y f (X )) . g 2 2 For discrete or (abs.) continuous r.v.s, there are explicit formulas in term of the joint density function p(x, y ) and the marginal pX (x): Discrete: E(Y |X ) = f (X ), where f (x) = E(Y |X...
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Purdue - STAT - 540
Option Pricing in Presence of Transaction CostsGroup MembersVarun Agarwal Niru Kumari Debabrata Mohapatra Sriram Rapaka Anil Samantsinghar Dhruv SinghPresentation OutlineMotivation Proposed SolutionsLocal in Time ModelsLeland (1985) and it
Purdue - STAT - 541
Math516/Stat541 Midterm Computational ProjectFall 2007 Due date: October 5thInstructions: (a) Write your code in a program language of your choice. Strongly suggested C+/C, Visual Basic/Excel, MATLAB. (b) Your dierent programs and nontrivial proc
Purdue - STAT - 541
Math516/Stat541 Homework assignment 3 1. Exercise 22.6. 2. Exercise 22.7. 3. Exercise 22.8. 4. Consider the Hull-White model for bond prices, where d r(t) = (t) - a r) + d W (t), under the risk-neutral measure Q. Show that, under Q, the normalized bo
Purdue - STAT - 541
Math516/Stat541 Homework Assignment 4 1. Exercise 23.1Fall 2007Remark: One way to deduce the required (t, T ) in df (t, T ) is the following. Consider the AFT formula of the Hull-White bond prices p(t, T ). Then, deduce the volatility (t, T ) of
Purdue - STAT - 541
Adaptive Control Variates for Pricing Multi-Dimensional American Options by Ehrilchman and HendersonShuhao Cao Mike Li Huijie Wang Weijia Wang Monday November 26, 2007Shuhao Cao Mike Li Huijie Wang Weijia Wang: Adaptive Control Variates for Pricin
Purdue - STAT - 541
Implied Binomial TreesMark Rubinstein University of California Berkeley 1994OutlineMotivationby KameshProblem setupby ChunA small exampleby SeanMore results and extensionsby NeeravSome applications and conclusionby NathalieMotivati
Columbia - EC - 6215
INTERNAL AND EXTERNAL ADJUSTMENT COSTS IN THE THEORY OF FIXED INVESTMENT (lecture notes for Investment Theory for First Year Graduate Macroeconomics)Xavier Sala-i-Martin (*) Columbia University and Universitat Pompeu FabraThis Draft: October, 200
Columbia - EC - 3213
Ec3213. Columbia College Professor Xavier Fall 2005. Midterm. Please note that &quot;yes/no&quot; answers will not be accepted. You need to explain/illustrate your answers even though you are not asked explicitly.Question 1. Assume that an economy has the pr
Columbia - EC - 3213
Importance of GrowthXavier Sala-i-MartinHypothetical GDP Paths1211log (GDP per capita)10987 1870 1890 1910 1930 1950 1970 1990 2010yearGrowth 2% Growth 1% Growth 3% Initial income \$2000 Final Income If growth 2%, y=\$25,000 If
Columbia - EC - 6301
WhyhasAfricaGrownSo Slowly?XavierSalaiMartin ColumbiaUniversityFigure 1: GDP per Capita\$2,500\$2,000\$1,500\$1,000\$500\$0 1960196519701975 Africa19801985199019952000Sub-Saharan AfricaFigure 3: Divergence: Per Capita GDP
Columbia - EC - 6301
Why has Africa Grown So Slowly?Xavier SalaiMartin Columbia UniversityFigure 1: GDP per Capita\$2,500\$2,000\$1,500\$1,000\$500\$0 1960196519701975 Africa19801985199019952000Sub-Saharan AfricaFigure 3: Divergence: Per Capi
Columbia - EC - 6301
Poverty, Inequality, and the World Distribution of IncomeBy Xavier Sala-i-MartinInteresting Quotes &quot;The number of people living on less than \$1 a day grew from 1.18 billion in 1987 to 1.20 billion in 1998-an increase of 20 million&quot;The World Ban
Columbia - EC - 6301
The Many Ways Governments can Kill GrowthXavier Sala-i-Martin, 2003Hyperinflations Fiscal disarray leads to PRINT MONEY Money Printing leads to Hyperinflation French Revolution and American Civil War Versailles Treaty and the HP of the 192
Columbia - EC - 6301
A Market for VaccinesXavier Sala-i-MartinRecall AIDS Fund (AIDS Fund) Governmentsof Rich Countries contribute toa fund The money is spent to buy vaccines at monopolistic price This provides incentives to do the research Yet the vaccines a
Columbia - EC - 6301
Determinants of Long-Term Growth: A Bayesian Averaging of Classical Estimates (BACE) Approach by Xavier Sala-i-Martin, Gernot Doppelhoffer and Ron MillerTable 2: Baseline EstimationPosterior Inclusion Probabiliy (1) 0.823 0.796 0.774 0.685 0.563 0
Iowa State - STAT - 341
Iowa State - STAT - 341
Iowa State - STAT - 341
Stat 341, 2-22-08, Hypergeometric RV &amp; probability distribution, M. Larsen Density, distribution function, quantile function and random generation for the hypergeometric distribution. - help(dhyper) -Usagedhyper(x, m, n, k, log = FALSE) phyper(q,
Iowa State - STAT - 341
Stat 341, 2-18-08, Binomial random variable &amp; probability distribution, M. Larsen Lets consider a binomial random variable with n=20 trials. Here is a vector containing the integers 0 through 20. &gt; x = 0:20 &gt;x [1] 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1
Iowa State - STAT - 341
Stat 341, 2-11-08, Expectation of nonlinear transformation, M. Larsen X Y=g(X) Does E[Y] = E[g(X)] equal g(E[X])?Y=1/X x = rnorm(1000, 29, 1.5) # miles per gallon y = 1/x # gallons per mile mean(x) [1] 28.97253 mean(y) [1] 0.03460628 mean(1/x) [1]
Iowa State - STAT - 341
# Simulation of Expectation of Random Variables# Stat 341, Spring 2008, M. Larsen, February 8, 2008-Fair Die-1 2 3 4 5 61/6 1/6 1/6 1/6 1/6 1/6mean( sample(1:6, size=100000, prob=rep(1/6,6), replace=T) )hist( sample(1:6, size=1000
Iowa State - STAT - 341
Stat 341, British Social Mobility Example, from Glass (1954) Father/Son (1st generation after father) 1 2 3 4 5 1 50 45 8 18 8 129 2 28 174 84 154 55 495 3 11 78 110 223 96 518 4 14 150 185 714 447 1510 5 3 42 72 320 411 848 3500 pairs of individuals
Iowa State - STAT - 341
Stat 341, Monday January 28, 2008, Birthday problem in R &gt; n &lt;- 365:300 &gt;n [1] 365 364 363 362 361 360 359 358 357 356 355 354 353 352 351 350 349 348 347 [20] 346 345 344 343 342 341 340 339 338 337 336 335 334 333 332 331 330 329 328 [39] 327 326 3
East Los Angeles College - CIVE - 1400
Question 2.CIVE1400, Fluid Mechanics Marked Problem SheetDr P.A Sleigh P.A.Sleigh@leeds.ac.uk This work must be submitted via the print room by 4.00pmThe maximum depth of water in a reservoir is maintained by a V-notch weir, as shown in figure 1
UCLA - EDUC - 456
ELP On-line Action Research Project Phone Interview w/: Adrienne Mack Researcher: Troy Behrens Monday, May 28, 2001 Tell us briefly about your experience with your use of technology (as in computer use, online courses, email programs or the internet)
UCLA - EDUC - 456
ELP On-line Action Research Project Phone Interview w/: Andy Johnsen Researcher: Steven Mercer Monday, May 28, 2001 8:00pm 1. Tell us briefly about your previous experience with on-line courses prior to the ELP program. No experience with on-line cou
UCLA - EDUC - 456
Stuart Biegel February 14, 2001 Interviewed by S. Mercer Teaches in UCLA Law School as well as GSEIS He teaches in three education leadership programs - ELP - Principal's Leadership Institute (PLI) - EdD at UC Irvine In all three programs he employ
UCLA - EDUC - 456
Stuart Biegel February 14, 2001 Interviewed by S. Mercer Teaches in UCLA Law School as well as GSEIS He teaches in three education leadership programs - ELP - Principal's Leadership Institute (PLI) - EdD at UC Irvine In all three programs he employ
UCLA - EDUC - 456
ELPOL Qualitative Questionnaire Responses Session I (Verbatim) R1 COMMENTS = I did manage to access all the materials except for the video. When I had downloaded 61% of the file, the system stopped. I didn't try the second time but went to the text b
UCLA - EDUC - 456
ELPOL Qualitative Questionnaire Responses Session II (Verbatim) R1 COMMENTS = I really like the live class, the interaction more that the bulletin board. Sorry. But, on the up side. This has really forced me to get more acquainted with the web. R3 CO
UCLA - EDUC - 456
ELPOL Qualitative Questionnaire Responses Session III (Verbatim) R4 COMMENTS = Difficult to read 200 pages on the screen. I printed it out with a smaller font and smaller margins. However, it was really good having the option - so its hard to say if
UCLA - EDUC - 456
Focus Group/Personal Interview Questions Thank you for agreeing to be a part of this focus group. I am going to ask you a series of question, some of them may be in general to all of you some may be specific to individuals. Please be as objective as
UCLA - EDUC - 456
Main Points of the Class: 1. We've had 25 years of school reform and things aren't getting any better. 2. Schools exist in a political environment, so many &quot;reforms&quot; have more of a symbolic value than substantive. Also, because of clashes of values a
UCLA - EDUC - 456
Preface The purpose of this section is to reflect upon the in-class exercise we facilitated at the mid-point of the ELP Online project. Our research group was interested in gaining feedback about the students' experiences halfway through the project.
UCLA - EDUC - 456
Recommended Electronic Teaching Strategies 1. Electronic Discussion Forum Using an Internet based program such as &quot;Yahoo Groups&quot;, allows the facilitator and students to post reactions to assigned reading and professor prompts. The application keeps t
UCLA - EDUC - 456
ELP On-line Action Research Project Phone Interview: Saadia Lagarde Researcher: Steven Mercer Thursday, May 24, 2001 9:00pm 1. Tell us briefly about your previous experience with on-line courses prior to the ELP program. I have no prior experience. B
UCLA - EDUC - 456
Educational Leadership Program On-line (ELPO) Survey Dear Cohort 8: In an effort to guide us in the planning and implementation of our ELP Action Research project we are asking that you complete this questionnaire. Thank you for your cooperation. Mar
Wesleyan - PHYS - 217
Wesleyan - PHYS - 217
Wesleyan - PHYS - 217
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Wesleyan - PHYS - 217
Wesleyan - PHYS - 217
Wesleyan - PHYS - 217
Wesleyan - PHYS - 217
Wesleyan - PHYS - 217
Physics 217ChaosFall 2003Problem Set 21. Consider the chemical reaction A+X 2X. (1)This is an example of an autocatalytic reaction: the presence of product X enables the conversion of A to X. Since collisions between A and X are necessary f
Wesleyan - PHYS - 215
Wesleyan - PHYS - 215
UGA - CLAS - 4040
CLAS: 4040/6040Death &amp; Burial of Philip IIProf. Naomi J. NormanBefore Philip, 359 BCEDuring Philip, 348 BCE356 BCE: Philip assumes kingship from Amyntas &amp; begins to consolidate kingdom which is accomplished by 338 at the Battle of Chaironei
UGA - CLAS - 4040
Karen Marks For this workshop, the class analyzed a series of Hellenistic votive reliefs dating from the late 4 century to the early 1st century. Because of their nature as votive offerings, all the reliefs show some depiction of the god(s) to whom t
UGA - CLAS - 4040
Courtney Canada The Life and Death in Alexandria Workshop sparks intriguing questions such as How is the city of Alexandria organized? Why do Egyptian elements appear in cemeteries in Alexandria? What themes and motifs are appropriate in funerary mon
UGA - CLAS - 4040
Karen Marks The data for this workshop were all pieces of evidence from or concerning Alexandria. To begin discussion, we asked several questions, namely about the plan of the city as it fit into the traditional conceptualization of a Greek polis, an
UGA - CLAS - 4040
Brittany Baker CLAS 4040 MWF 2:30 3:20 Postmortem 1What I found most interesting from the material we discussed in the workshop was mankinds continual fascination with memorializing the works of great men. The ancients built man mountains out of e
UGA - CLAS - 4040
Tessa Cierny This week=s workshop was particularly stimulating in that all of the images provided for discussion evoked an emotional response from the viewer. Although there were some disagreements on the message being sent by the artist, pain and de
UGA - CLAS - 4040
Holly Jordan The &quot;Attalid Dedications in Pergamon &amp; Athens&quot; workshop gave students an insight into the design of and purposes of war memorials within the Hellenistic world. Some key questions asked by students included: 1) Why is there so much death