Ch. 16 Stochastic Model Building Unlike linear regression model which usually has an economic theoretic model built somewhere in economic literature, the time series analysis of a stochastic process needs the ability to relating a stationary ARMA model to real data. It is usually best achieved by a three-stage

Ch. 13 Difference Equations 1 First-Order Difference Equations Suppose we are given a dynamic equation relating the value y takes on at date t to another variables Wt and to the value y took in the previous period: where o is a constant. Equation(1)is a linear first-order difference equation a difference equation is an expression relating a variable yt to its previous values

This paper is an updated version of a previous working paper, Capital Budgeting in the Presence of Managerial Overconfidence and Optimism, by the same authors. Financial support by the Rodney L. white Center for Financial Research is gratefully acknowledged. The authors would like to thank Andrew Abel, Jonathan Berk, Domenico Cuoco, David Denis, Janice Eberly, Robert Goldstein, Peter Swan, and seminar

The term adverse selection comes originally from insurance applications. An insurance contract may attract high-risk individuals, with the result that the pool of insured customers may be riskier than the population at large Adverse selection is now used generically to describe situations of asymmet ric information, particularly market settings in which some individuals have private information about their characteristics and where the individuals

Lyapunov analysis, which uses monotonicity of a given function of system state along trajectories of a given dynamical system, is a major tool of nonlinear system analysis It is possible, however, to use monotonicity of volumes of subsets of the state space to predict certain properties of system behavior. This lecture gives an introduction to suc methods

This lecture presents results describing the relation between existence of Lyapunov or storage functions and stability of dynamical systems 6.1 Stability of an equilibria

4.1 Addition of hx to Alkenes. p100 Hydrohalogenation General reaction mechanism: electrophilic addition Attack of electrophile(such as hBr)on T bond of alkene Produces carbocation and bromide ion Carbocation is an electrophile, reacting with nucleophilic bromide ion

一、n维向量 1.定义 n个有次序的数a1,a2,,an所组成的数 组称为n维向量,这n个数称为该向量的个分量, 第i个数a称为第i个分量

Goal: Give necessary optics background to tackle a space mission, which includes an optical payload Light .Interaction of light w/environment o Optical design fundamentals Optical performance considerations .Telescope types and CCd design interferometer types

Cyclic Codes a cyclic code is a linear block code where if c is a codeword, so are all cyclic shifts of c E.g., 1000, 110, 101,011 is a cyclic code Cyclic codes can be dealt with in the very same way as all other lbc s Generator and parity check matrix can be found a cyclic code can be completely described by a generator string G All codewords are multiples of the generator string In practice, cyclic codes are often used for error detection(CRc) Used for packet networks When an error is detected by the received, it requests retransmission