UCSC - AMS - 206

1 January 2005AMS 206: Bayesian StatisticsProf. David Draper, Department of Applied Mathematics and Statistics (AMS) Baskin School of Engineering Class schedule: MWF 2:00-3:10pm in the Engineering 2 building, room 192 (plus some extra meetings (t

UCSC - AMS - 206

UCSC - AMS - 223

ENG-223: TIME SERIES ANALYSISRaquel Prado, Department of Applied Mathematics and Statistics (AMS), UCSC Spring 2003: TU-TH 10.00-11.45 pm Steven Academy 2211Course DescriptionThis course is a graduate level introductory course on time series a

UCSC - CMPE - 163

Department of Computer Engineering University of California at Santa CruzReal-Time SchedulingHai TaoDepartment of Computer Engineering University of California at Santa CruzReal-time processing requirementsContinuous processing must be perfo

UCSC - CMPS - 102

CS 102: INTRO. TO THE ANALYSIS OF ALGORITHMS ASSIGNMENT 3 SOLUTIONSProblem 1.(a). T (n) = T ( 9n ) + n. 10(b). T (n) = 2T ( n) + log n. Solution. (a). T (n) = T (9n ) + n. 10 This is a divide-and-conquer recurrence with a = 1, b = 10/9, f (n

UCSC - MATH - 011

INSTITUTE OF PHYSICS PUBLISHING Eur. J. Phys. 23 (2002) 2126EUROPEAN JOURNAL OF PHYSICS PII: S0143-0807(02)26048-1Demonstration of the exponential decay law using beer frothA LeikeLudwigMaximilians-Universit t, Sektion Physik, Theresienstr. 37,

UCSC - MATH - 011

UCSC - MATH - 011

UCSC - MATH - 011

UCSC - MATH - 011

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UCSC - MATH - 011

Graphing with derivativesRelation between the graph of a function and its derivativeRelation between the graph of a function and its derivativeRelation between the graph of a function and its derivativeCurvaturef(x) positive : f(x) is UP CO

UCSC - MATH - 011

oo%o%oo%o%oo%o%oo%o%oo%o%oo%ov(5s ( (5s oo%o%oo%o%oo%o%oo%o%oo%o%oo%o (5s5( (5s o%oo%o%oo%o%oo%o%oo%o%oo%o%oo gs5(Rh2 luu"l(5s oo%o%oo%o%oo%o%oo%o%oo%o%oo%o (5s5( " } ~ } (5s

UCSC - MATH - 011

UCSC - MATH - 011

UCSC - MATH - 011

UCSC - MATH - 011

Quiz 4: Limits (1)Calculators are not allowed. Attempt as many questions as you can. Write your answers on the dashed lines. What are the limits of the following functions? If the limit doesnt exist, give a brief description of the behavior of the

UCSC - MATH - 011

UCSC - MATH - 011

UCSC - MATH - 011

Quiz 7: Derivatives (part 3)Calculators are not allowed. Attempt as many questions as you can. Write your answers on the dashed lines. Question 1: What are the derivatives of the following functions? f (x) = ln(x): f (x) = f (x) = log2 (x): f (x)

UCSC - MATH - 011

ContinuityContinuity through limitsSo the function sin(x) is continuous at x=0Continuity through limitsSo the function f(x) is not continuous at x=0Continuity through limitsSo the function f(x) is not continuous at x=3Zooming in on a co

UCSC - MATH - 011

Quizz 2: SequencesAttempt as many questions as you can. Write your nal answers on the dashed lines, and your working in the space provided. Partial credit will be given to correct reasoning.Question 1: [20 points] Find the next 2 terms in the seq

UCSC - MATH - 011

UCSC - MATH - 011

Quizz 4: Derivatives of basic functionsCalculators are not allowed. Attempt as many questions as you can. Write your answers on the dashed lines. Question 1: [70 points] Find the derivatives of the following functions with respect to the independen

UCSC - CMPE - 080

E-Commerce StandardsStandards, standards everywhere! Don't bother tracking the proposed e-commerce standards too closely right now-the landscape is changing on an almost a daily basis.Datamation June 1999EDI System ObstaclesData Company data ve

UCSC - AMS - 205

AMS 205 Homework 2due in class, Tuesday October 12 1. Let X1 and X2 have the joint pdf f (x1 , x2 ) = 15x2 x2 , 0 < x1 < x2 < 1, zero elsewhere. Find 1 each marginal pdf and compute Pr(X1 + X2 1). Hint: Graph the space of X1 and X2 and carefully c

UCSC - AMS - 205

BASKIN SCHOOL OF ENGINEERING Department of Applied Mathematics and Statistics AMS 205 - Fall 2007Name:Midterm Please show your work in all the problems except for Problem 1. Problem 1: Specify which of the following statements are true and which

UCSC - AMS - 205

3.5 Let X = number of effective cases. If the new and old drugs are equally effective, then the probability that the new drug is effective on a case is .8. If the cases are independent then X binomial(100, .8), and100P (X 85) =x=85100 .8x .21

UCSC - AMS - 205

BASKIN SCHOOL OF ENGINEERING Department of Applied Mathematics and Statistics AMS 205 - Fall 2007Name:Quiz 1 Please show your work in all the problems. Problem 1: Let T > 0 be a random variable with P r(T > t) = aet + (1 a)et t > 0, 0 < 1 < a, ,

UCSC - AMS - 205

AMS 205 Midterm Review Exercises1. You have a bowl of 20 cherries, of which 5 have pits and 15 have had their pits removed. Your cat knocks over the bowl and 4 cherries fall on the oor and are eaten (including any pits) by your dog. You pick up one

UCSC - AMS - 205

AMS 205 Homework 4due in class, Tuesday October 26 1. Let X be the mean of a random sample of size 5 from a normal distribution with = 0 and 2 = 125. Determine c so that P (X < c) = 0.90. 2. Let X1 , . . . , X25 and Y1 , . . . , Y25 be two indepe

UCSC - AMS - 205

AMS 205 Homework 6due in class, Tuesday November 16 1. Let X1 , . . . , Xn be a random sample from each of the distributions having the following probability density functions: (a) f (x; ) = x(1) , 0 < x < 1, 0 < < , zero elsewhere (b) f (x; ) =1

UCSC - AMS - 205

AMS 205 Homework 9optional problems, not to be turned in the rst two are likelihood ratio test problems, which is a topic for the nal exam the second two are from chapter 8, which will not be on the nal 1. Let X1 , . . . , Xn be a random sample fro

UCSC - AMS - 205

AMS 205 Homework 5due in class, Tuesday November 9 1. Compute an approximate probability that the mean of a random sample of size 15 from a distribution having pdf f (x) = 3x2 , 0 < x < 1, zero elsewhere, is between 3/5 and 4/5. 2. We know that X i

UCSC - AMS - 205

UCSC - AMS - 205

AMS 205 - HomeworkChapter 2 - Transformations and Expectations Solutions2.1 a. fx (x) = 42x5 (1 x), 0 < x < 1; y = x3 = g(x), monotone, and = (0, 1). Use Theorem 2.1.5. fY (y) = fx (g 1 (y) d 1 d 1 g (y) = fx (y 1/3 ) (y 1/3 ) = 42y 5/3 (1 y 1/3

UCSC - AMS - 205

BASKIN SCHOOL OF ENGINEERING Department of Applied Mathematics and Statistics AMS 205 - Fall 2006Name:Final Please show your work in all the problems except for Problem 1. Problem 1: Specify which of the following statements are true and which ar

UCSC - AMS - 205

BASKIN SCHOOL OF ENGINEERING Department of Applied Mathematics and Statistics AMS 205 - Fall 2007Name:Quiz 2 Please show your work in all the problems. Problem 1: Let X be a random variable with a Student t distribution with p degrees of freedom.

UCSC - AMS - 205

AMS 205 - HomeworkChapter 7 - Point Estimation Solutions7.6 a. f (x|) = Theorem. b. L(|x)n (-2 i xi )I,) (x(1) ). i xi -2I,) (x(1) ).This x(1) is a sufficient statistics for by the Factorizationn is increasing in . The second term does not in

UCSC - AMS - 205

UCSC - AMS - 205

UCSC - AMS - 205

AMS 205 Homework 3due in class, Tuesday October 19 1. Let X1 , X2 , and X3 be independent RVs, each with pdf f (x) = exp(x)I {0<x<} . Find the distribution of Y = minimum(X1 , X2 , X3 ). Hint: P r(Y y) = 1 P r(Y > y) = 1 P r(X1 > y, X2 > y, X3 >

UCSC - AMS - 205

UCSC - AMS - 205

AMS 205 Homework 7due in class, Tuesday November 23 1. Let us assume that the life of a tire in miles, say X, is normally distributed with mean and standard deviation 5000. Past experience indicates that = 30, 000. The manufacturer claims that th

UCSC - AMS - 205

UCSC - AMS - 205

UCSC - AMS - 205

UCSC - AMS - 205

UCSC - CMPS - 012

Write a class to represent time on a 24 hour clock, to the nearest minute. The Time values (objects) should be mutable (like StringBuffer). Provide an operation to add minutes or hours to a Time value changing the object. Also provide an operation to

UCSC - CMPS - 012

Program warm-up for the day.Write a METHOD that takes two parameters, a int for the length of a line, and a char for the character to use to draw the line. The method prints length characters. Use the method in a program to draw a triangle like the

UCSC - CMPS - 012

Write a class to represent rectangles. The class should have a constructor, and methods toString(), getArea(), getPerimeter(), and draw(). The class should work with the test program RectangleTest (see other screen) producing the following output for

UCSC - CMPS - 012

class QueryTest { static final int YES = 1, NO = 2; static final int RIGHT = 1, LEFT = 2; public static void main(String[] args) { Query continueQuery = new Query("Do you want to continue? (yes or no)", "yes", "no"); Query rightOrLeft = new Query("Sh

UCSC - CMPS - 012

Program warm-up for the day.Write a program that asks for one integer, the height of a right triangle, and then draws a triangle of that size using asterisks. E.g. for input 4 that would be:* * * *Bonus feature: draw only the outline of the trian

UCSC - CMPS - 012

Write a method to read in a Sentence and return it given a single parameter of type Scanner. Use that method to read in a Pattern and return it given a single parameter of type Scanner.Program warm-up for the day.

UCSC - CMPS - 012

Program warm-up for the day.Write a program that prompts for the length of three line segments as integers. If the three lines could form a triangle, the program prints "Is a triangle." Otherwise it prints "Is not a triangle." Recall that the sum of

UCSC - CMPS - 012

Why functions (methods)? Reduce redundant code - If you use it twice, make it a function Simplify main programs/procedures Provide abstraction/decomposition/interfaces Building blocks - make new statements Recursion Object oriented and top down

UCSC - CMPS - 012

Statements and Control Flow The programs we have seen so far do exactly the same list of instructions every time What if we want to do different things for different inputs? Do some action only if a specified condition is met We need conditional

UCSC - CMPS - 012

What is a Program? (part 1) A recipe for doing something A precise set of instructions Like the rules for a game, or how to build something, or directions to your house Tic-Tac-ToeDraw a big # First player draws an X in a square Second playe

UCSC - CMPS - 012

Arrays (ch 5) concepts memory (heap) kinds of locals (references) syntax: [] keyword: new power!Arrays Only single data items so far What if you want to handle many related data items of the same type? An array is a container that holds a

UCSC - CMPS - 012

Quiz 3 Results 20 Points possible Max: Min: Mean: Median:Chapter 5: Arrays We have seen how to declare array:int[] quizScore; - declares an array of ints double[] temperature; - declares an array of doubles String[] lastName; - declares an a

UCSC - CMPS - 012

Scope: Local Variables We have discussed the scope of local variables (ones defined in methods) alreadyA variable's scope extends from the line it is declared until the end of the block it is contained in A formal parameter's scope is the entire me

UCSC - CMPS - 012

Announcements TA Office Hours Sanjit Jhala Tuesday 4 5, BE 352Chapter 3 Statements and Control Flow Up to now, all of our programs have executed from top to bottom without making any decisions These programs do exactly the same thing every t