Stat 217, Winter 2012, Midterm Solutions
February 14, 2012
(Prepared by Stefan Wager)
Question 1
(a) Each row sum is 1 Its stochastic. Column 1 doesnt sum to 1 its
not doubly stochastic.
(b)
(3) (2, 4
Statistics 202:
Data Mining
c Jonathan
Taylor
Statistics 202: Data Mining
Week 5
Based in part on slides from textbook, slides of Susan Holmes
c Jonathan Taylor
October 29, 2012
1/1
Statistics 202:
Da
STATS 217, Winter 2013, Midterm
February 12, 2013
Write your name and sign the Honor code in the blue books provided.
Please write your name on this question paper and hand it back together with your
Stat 217, Winter 2011, Midterm
February 07, 2011
Write your name and sign the Honor code in the blue books provided.
Please write your name on this question paper and hand it back together with your a
Introduction to Stochastic Processes
Stat217, Winter 2013
Homework 4 - due at 11:00am on Friday February 08, 2013
PK = Pinsky and Karlin, Introduction to Stochastic Modeling, 4th edition
(or TK = Tayl
Introduction to Stochastic Processes
Stat217, Winter 2012
Homework 4 - due at 5:00 pm on Friday, February 10, 2012
TK = Taylor and Karlin, Introduction to Stochastic Modeling, 3rd edition.
PK = Pinsky
Stat 217 Final Examination - Winter 2012
March 22, 2012
Write your name and sign the Honor code in the blue books provided.
This is an open material exam. You have three hours to solve all four questi
Introduction to Stochastic Processes
Stat217, Winter 2013
Homework 1 - due at 5:00pm on Friday January 18, 2013
PK = Pinsky and Karlin, Introduction to Stochastic Modeling, 4th edition
(or TK = Taylor
Statistics 305
Homework 1, due Thursday, October 4, 2012
by 5pm.
This problem set is partly aimed at getting you going with R. The coursework
webpage points you to a useful R primer (in the supplement
Introduction to Stochastic Processes
Stats 217, Winter 2015
Homework 1 - due on Friday January 16, 2015
PK = Pinsky and Karlin, Introduction to Stochastic Modeling, 4th edition
(or TK = Taylor and Kar
Introduction to Stochastic Processes
Stats 217, Winter 2015
Homework 2 - due on Friday January 23, 2015
PK = Pinsky and Karlin, Introduction to Stochastic Modeling, 4th edition
(or TK = Taylor and Kar
Introduction to Stochastic Processes
Stats 217, Winter 2015
Homework 3 - due on Friday January 30, 2015
PK = Pinsky and Karlin, Introduction to Stochastic Modeling, 4th edition
(or TK = Taylor and Kar
Introduction to Stochastic Processes
Stat217, Winter 2013
Homework 1 - due at 5:00pm on Friday January 18, 2013
PK = Pinsky and Karlin, Introduction to Stochastic Modeling, 4th edition
(or TK = Taylor
STATS 217, Winter 2013, Midterm
February 12, 2013
Write your name and sign the Honor code in the blue books provided.
Please write your name on this question paper and hand it back together with your
Introduction to Stochastic Processes
Stat217, Winter 2013
Homework 2 - due at 5pm on Friday January 25, 2013
PK = Pinsky and Karlin, Introduction to Stochastic Modeling, 4th edition
(or TK = Taylor an
Introduction to Stochastic Processes
Stat217, Winter 2012
Homework 1 - due at 5:00pm on Friday January 20, 2012
TK = Taylor and Karlin, Introduction to Stochastic Modeling, 3rd edition (or Pinsky and
Statistics 217/218
(Instructor: Alsmeyer)
Summer 2008
Exercise Set 3
Exercise 15. (Terminating renewal processes) In dening a renewal process we suppose that
F (), the probability that an interarrival
Introduction to Stochastic Processes
Stat217, Winter 2013
Homework 2 - due at 5:00pm on Friday January 25, 2013
PK = Pinsky and Karlin, Introduction to Stochastic Modeling, 4th edition
(or TK = Taylor
Introduction to Stochastic Processes
Stat217, Winter 2013
Homework 6 Solutions
TK = Taylor and Karlin, Introduction to Stochastic Modeling, 3rd edition.
1. Problem VI.1.1 on page 342 of TK.
A: We inte
Introduction to Stochastic Processes
Stat217, Winter 2012
Homework 2 - due at 5 pm on Friday, January 27, 2012
TK = Taylor and Karlin, Introduction to Stochastic Modeling, 3rd edition.
1. Problem III.
Introduction to Stochastic Processes
Stat217, Winter 2013
Homework 3 - due at 11:00 am on Friday Feb 01, 2013
PK = Pinsky and Karlin, Introduction to Stochastic Modeling, 4th edition
(or TK = Taylor a
Introduction to Stochastic Processes
Stat217, Summer 2012
Homework 4 - due in class on Tuesday July 31, 2012
PK = Pinsky and Karlin, Introduction to Stochastic Modeling, 4th edition
(or TK = Taylor an
Introduction to Stochastic Processes
Stat217, Winter 2013
Homework 8
TK = Taylor and Karlin, Introduction to Stochastic Modeling, 3rd edition.
1. Problem VI.4.1 on page 377 of TK.
j
Note j = k1 k /k+1
Stats-206
Applied Multivariate Analysis
Professor Sadri Khalessi
Summer 2013
Stanford University
Chapter 9
Factor Analysis
Introduction
The main purpose of the Factor Analysis
is to describe if possib
Singular-Value Decomposition
Let A be a m k real matrix
Then two orthogonal matrices U mm and Vkk
and a diaogonal matrix mk with diagonal enteries
i 0, i = 1,2, , min (m, k), Such that
A = U mm mk Vkk
Example :
Let X 1 , X 2 , X 3 , X 4 ~ ( , ) where
3
3 - 1 1
= 1, = - 1 1 0
1
1 0 2
Consider alinear combination a X 1 of the three
components of X 1 . It has mean
a = 3a1 a 2 + a3 , a scala
Stats-206
Applied Multivariate Analysis
Professor Sadri Khalessi
Summer 2013
Stanford University
Chapter 8
Principle components
Introduction
A PC analysis is concerned about explaining
the variaiance-