20110921 class notes

Computer and Network Security: MIT 6.857 Class Notes pptx

Computer and Network Security: MIT 6.857 Class Notes pptx
... 20 60 1000 2500 93000 MIT 6.857 Computer and Network Security Class Notes File: http://theory.lcs .mit. edu/˜rivest /notes/ divisors.pdf Revision: December 2, 2002 Divisors and Divisibility Definition ... freely reproduced for educational or personal use MIT 6.857 Computer and Network Security Class Notes File: http://theory.lcs .mit. edu/˜rivest /notes/ bignum.pdf Revision: December 2, 2002 Bignum ... MIT 6.857 Computer and Network Security Class Notes File: http://theory.lcs .mit. edu/˜rivest /notes/ ntintro.pdf Revision: December 2, 2002 Introduction...
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Capital Markets and Portfolio TheoryRoland Portait From the class notes taken by Peng pptx

Capital Markets and Portfolio TheoryRoland Portait From the class notes taken by Peng pptx
... The market value of asset i is Vi , then (by deịnition of the market portfolio) its weight in the market portfolio is: Vi mi = PN i=1 Vi The return of the market portfolio is: RM = m0 R Hypothesis ... non- Chapter Portfolio Choices Proof Assume that the assets are redundant, then there exist N scalars , , , N such that PN i=1 i Ri = k Consider the portfolio deịned by the weights The variance ... 10 à ã1 = 1 Then the solution of (P ) writes: x = k1 + b k Note that k01 = and x0 = 1, therefore k02 = Any ecient portfolio is thus the sum of k1 (the minimum variance portfolio) and k2 which...
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Class Notes in Statistics and Econometrics Part 1 pdf

Class Notes in Statistics and Econometrics Part 1 pdf
... Known 10 99 10 99 11 08 11 11 111 6 11 26 11 32 11 46 11 52 11 65 Chapter 54 .1 54.2 54.3 54 Dynamic Linear Models Specification and Recursive Solution Locally Constant Model The Reference Model 11 69 11 69 11 75 ... Measures 10 36 10 37 10 38 10 38 10 42 10 43 10 43 10 44 10 45 10 50 Chapter 49 Distributed Lags 49 .1 Geometric lag 49.2 Autoregressive Distributed Lag Models 10 51 1062 10 63 Chapter 50 .1 50.2 50.3 10 73 10 73 10 76 ... Sufficient Statistics and Estimation 13 .10 The Likelihood Principle 13 .11 Bayesian Inference Chapter 14 Chapter 15 .1 15.2 15 .3 15 .4 15 .5 15 .6 Interval Estimation 15 Hypothesis Testing Duality between...
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Class Notes in Statistics and Econometrics Part 2 pptx

Class Notes in Statistics and Econometrics Part 2 pptx
... cdf is in (−∞, 2) , 1/36 in [2, 3), 3/36 in [3,4), 6/36 in [4,5), 10/36 in [5,6), 15/36 in [6,7), 21 /36 in [7,8), 26 /36 on [8,9), 30/36 in [9,10), 33/36 in [10,11), 35/36 on [11, 12) , and in [ 12, +∞) ... (1/36,3/36], in (3/36,6/36], in (6/36,10/36], in (10/36,15/36], in (15/36 ,21 /36], in (21 /36 ,26 /36], in (26 /36,30/36], 10 in (30/36,33/36], 11 in (33/36,35/36], and 12 in (35/36,1] 76 RANDOM VARIABLES q ... with and without the notation E[x] = µ: var[x] = E[(x − E[x] )2 ] var[x] = E[(x − µ )2 ] = E[x2 − 2x(E[x]) + (E[x] )2 ] (3.10.17) 2 = E[x ] − 2( E[x]) + (E[x]) = E[x2 ] − (E[x] )2 = E[x2 − 2xµ + µ2...
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Class Notes in Statistics and Econometrics Part 3 pdf

Class Notes in Statistics and Econometrics Part 3 pdf
... in uenced by outliers E[y − 630 0|y≥ 630 0] = E[6000 + 1000z − 630 0|6000 + 1000z≥ 630 0] (5.8. 13) (5.8.14) = E[1000z − 30 0|1000z 30 0] (5.8.15) = E[1000z|z≥0 .3] 30 0 (5.8.16) = 1000 E[z|z≥0 .3] 30 0 ... Pr[2 3 < x 3 ≤ 5 3] = Pr[ 2 3 < x 3 ≤ 5 3 ] = Pr[− < x 3 ≤ 2 2 1 1] = Φ(1) − Φ(− ) = Φ(1) − (1 − Φ( )) = Φ(1) + Φ( ) − = 0.84 13 + 0.6915 − = 0. 532 8 Some tables (Greene) give the area between and ... hiding in the back, and whenever a customer steps up to the counter and rings the bell, they toss a coin If the coin shows head, Herbert serves 154 SPECIFIC RANDOM VARIABLES the customer, and...
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Class Notes in Statistics and Econometrics Part 4 pps

Class Notes in Statistics and Econometrics Part 4 pps
... 0.5 and min(x, y) ≤ 0 .4] 0. 24 0. 24 = = = Pr[min(x, y) ≤ 0 .4] − 0.36 0. 64 8.3 CONDITIONAL PROBABILITY AND CONDITIONAL MEAN 215 • d Compute the joint cumulative distribution function of u and v Answer ... 227 Problem 140 points Given two independent random variables x and y with density functions fx (x) and gy (y) Write down their joint, marginal, and conditional densities Answer Joint density: ... 136 If the vector random variables x and y have the property that xi is independent of every y j for all i and j, does that make x and y independent random vectors? Interestingly, the answer is...
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Class Notes in Statistics and Econometrics Part 5 pps

Class Notes in Statistics and Econometrics Part 5 pps
... their values are contained in a linear subspace This has relevance for estimators involving singular random variables: two such estimators (i.e., functions of a singular random variable) should ... r dr, the inner integral becomes − 2π e−t = 2π ; therefore the whole integral is Therefore the product of the integrals of the marginal densities is 1, and since each such marginal integral is ... determined by mean and standard deviation, the bivariate normal is determined by the two means µu and µv , the two standard deviations σu and σv , and the correlation coefficient ρ 10.3.2 Level Lines...
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Class Notes in Statistics and Econometrics Part 6 pot

Class Notes in Statistics and Econometrics Part 6 pot
... determined by the joint distribution of x and y However the line representing the underlying relationship can only be determined if one has information in addition to the joint density, i.e., in ... permanent income hypothesis, drawing at random families in a given country and asking them about their income y and consumption c can be modeled as the independent observations of two random variables ... underlying line is that it lies between the line predicting y on the basis of x and the line predicting x on the basis of y The name “regression” stems from a confusion between the prediction line and...
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Class Notes in Statistics and Econometrics Part 7 ppt

Class Notes in Statistics and Econometrics Part 7 ppt
... continuous function g which is and nonincreasing for x < and nondecreasing for x > (13.2.3) E[g(|x − θ|)] ≤ E[g(|y − θ|)] 360 13 ESTIMATION PRINCIPLES for every continuous and nondecreasing function ... Cramer Rao 378 13 ESTIMATION PRINCIPLES inequality can also be written in the form (13.4. 27) MSE[t; θ◦ ] ≥ −1/ E◦ [h(θ◦ )] (13.4.26) and (13.4. 27) are usually written in the following form: Assume ... the “indicator function” for nonnegative values, satisfying q(y) = if y ≥ and otherwise We will be working with the random variable which one obtains by inserting the j th observation y j into...
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Class Notes in Statistics and Econometrics Part 8 ppt

Class Notes in Statistics and Econometrics Part 8 ppt
... disparity in hiring rates • b point What would this percentage have to be if training tripled (instead of doubling) one’s chances of getting the job? Answer If training tripled one’s chances of being ... the hiring rates? Answer Since 60% of whites are hired and 40% of the minority group, rm = 60/40 = 1.5 Training is the factor x Sind persons with training had twice the chance of getting the ... the firms discriminated in hiring? Answer Assuming that the population is in nite, the question is: if one makes 100 independent random drawings from a population that contains 40% minorities, what...
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Class Notes in Statistics and Econometrics Part 9 pptx

Class Notes in Statistics and Econometrics Part 9 pptx
... the vectors Dx2 and Dy? 18.3 THE COEFFICIENT OF DETERMINATION 501 Answer Dx2 is og, the dark blue line starting at the origin, and Dy is cy, the red line starting on x1 and going up to the peak ... is the deterministic part of all the y i , and εi is the random part Model is “simple regression” in which the deterministic part µ is not constant but is a function of the nonrandom variable ... not only in the original 18.2 ORDINARY LEAST SQUARES 491 15-dimensional space, but already in this 3-dimensional subspace In other words, [DM93, Figure 1.3] is valid in all dimensions! In the 15-dimensional...
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Class Notes in Statistics and Econometrics Part 10 ppt

Class Notes in Statistics and Econometrics Part 10 ppt
... strength of a linear association between y and all components of x together, and the partial correlation coefficient measures the strength of that part of the linear association between y and y which ... 229 and 240 To set notation, call the minimum MSE in the first prediction (Problem 229) MSE[constant term; y], and the minimum MSE in the second prediction (Problem 240) MSE[constant term and ... first and have second highest correlation, and so on Here is the mathematical construction needed: Let x and y be two column vectors consisting of p and q scalar random variables, respectively, and...
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Class Notes in Statistics and Econometrics Part 11 potx

Class Notes in Statistics and Econometrics Part 11 potx
... to virus attacks and breakins In Linux, the user is the master of the computer and can exploit its full potential • You spend too much time pointing and clicking In GNU/Linux and other unix systems, ... put the following two lines into your batch files For interactive use on X-terminals you must comment them out again (by putting /* in front and */ after them) 21.5 INSTRUCTIONS FOR STATISTICS 5969, ... domestic two -part tariffs in 1935–36, in pence per KWH mc8 The running charge (marginal cost) on domestic two -part tariffs in 1937–38, in pence per KWH gas6 The marginal price of gas in 1935–36, in pence...
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Class Notes in Statistics and Econometrics Part 12 ppsx

Class Notes in Statistics and Econometrics Part 12 ppsx
... this lefthand side; it is amazing and surprising that it is exactly the population equivalent of the F -test for testing α = in the regression with intercept It can be estimated by replacing α2 ... MSE-matrices are singular, i.e., both estimators allow an error-free look at certain linear combinations of the parameter vector ˆ • b point Give two vectors g = [ g1 ] and h = h1 satisfying MSE[g φ; ... noncentral F has a noncentral χ2 in numerator and a central one in denominator.) The testing principle is therefore: compare the observed value with the upper α point of a F distribution with noncentrality...
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Từ khóa: luận văn thạc sĩ kế toán quản trị chi phí tại công ty trách nhiệm hữu hạn một thành viên phân đạm và hóa chất hà bắcluận văn thạc sĩ kế toán thu, chi ngân sách tại văn phòng UBND huyện quảng xƣơngluận văn thạc sĩ kiểm soát chi đầu tƣ xây dựng cơ bản từ nguồn vốn ngân sách nhà nƣớc qua kho bạcnhà nƣớc thị xã chí linh,tỉnh hải dƣơngluận văn thạc sĩ kiểm soát chi đầu tƣ xây dựng cơ bản từ nguồn ngân sách nhà nƣớc qua kho bạc nhà nƣớc hà nộiluận văn thạc sĩ một số giải pháp hoàn thiện chiến lƣợc cạnh tranh ngành hàng dầu mỡ nhờn ô tô, xe máy của tổng công ty hóa dầu petrolimexluận văn thạc sĩ nâng cao chất lƣợng dịch vụ ngân hàng bán lẻ tại ngân hàng thƣơng mại cổ phần bƣu điện liên việt ( lienvietpostbank ) – CN hoàng quốc việtluận văn thạc sĩ nâng cao chất lƣợng nhân lực tại công ty cổ phần dịch vụ hàng không thăng longluận văn thạc sĩ nâng cao hiệu quả cho vay tiêu dùng tại sở giao dịch agribankluận văn thạc sĩ nâng cao hiệu quả hoạt động kiểm tra kiểm soát nội bộ của ngân hàng TMCP công thƣơng việt namluận văn thạc sĩ nâng cao hiệu quả sử dụng vốn của công ty cổ phần sông đà HTCluận văn thạc sĩ nâng cao hiệu quả sử dụng vốn kinh doanh tại công ty cổ phần dịch vụ đồng xuân hải dƣơngluận văn thạc sĩ phát triển chiến lƣợc marketing của công ty trách nhiệm hữu hạn la vie – chi nhánh hà nộiluận văn thạc sĩ phát triển dịch vụ môi giới chứng khoán tại công ty cổ phần chứng khoán bảo việt (BVSCluận văn thạc sĩ phát triển dịch vụ ngân hàng bán lẻ phi tín dụng tại ngân hàng thƣơng mại cổ phần đầu tƣ và phát triển việt nam chi nhánh hƣng yênluận văn thạc sĩ nâng cao năng lực cạnh tranh mặt hàng giày dép của công ty trách nhiện hữu hạn sản xuất hàng tiêu dùng bình tiên (biti’s) trên thị trƣờng nội địaluận văn thạc sĩ nghiên cứu các yếu tố ảnh hƣởng đến động lực làm việc của ngƣời lao động tại công ty cổ phần quảng cáo và hội chợ thƣơng mại vinexadluận văn thạc sĩ nghiên cứu sự hài lòng với công việc của đội ngũ nhân viên chi cục hải quan cửa khẩu sân bay quốc tế nội bàiluận văn thạc sĩ pháp luật về hợp đồng mua bán hàng hóa và thực tiễn thực hiện tại công ty cổ phần vật tƣ và vận tải itasco – HPluận văn thạc sĩ phát triển dịch vụ ngân hàng điện tử tại ngân hàng thƣơng mại cổ phần bảo việt hội sở chínhluận văn thạc sĩ phát triển dịch vụ thẻ thanh toán tại ngân hàng nông nghiệp và phát triển nông thôn việt nam – chi nhánh thái bình
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