Prof vander Velde Use error between early and late indicator to lock onto signal. Error is a linear function of shift, within the range (-T,T) Return to the 1 st example process and take the case where the change points are Poisson distributed

16.322 Stochastic Estimation and Control Professor Vander Velde 1. P(ABCD.=P(A)P(B A)P(C|AB)P(D 1 ABC) Derive this by letting A=CD. Then P(BCD)= P(CD)P(B ICD)= P(C)P(DIC)P(DICD) 2. If A,, A2r.. is a set of mutually exclusive and collectively exhaustive events, then

RNA polymerase transcribes genes How is this process regulated? How is specificity achieved? Key players transcriptional activator proteins -bind to specific sites on DNA and turn on the expression of nearby genes. Two adhesive surfaces one binds DNA, the other interacts with, and recruits RNA polymerase

Muscle cells But if in the same organIsm, should have the same DNA per Nerve cells( cell Different cells have different clusters of genes active Development and differentiation of embryos is controlled by signaling molecules that alter gene expression in cells

Chapter 17-Learning Objectives Build polynomial regression models to describe curvilinear relationships Apply qualitative variables representing two or three categories Use logarithmic transforms in constructing exponential and multiplicative models Identify and compensate for multicollinearity Apply stepwise regression

Chapter 16 Learning Objectives Obtain and interpret the multiple regression equation Make estimates using the regression model: Point value of the dependent variable,y Intervals: Confidence interval for the conditional mean of y Prediction interval for an individual y observation

6. Choice Under Uncertainty a. Representing Uncertainty: Lotteries and Compound Lotteries b. Axioms of Expected Utility C. The Expected Utility Theory d. Empirical Challenges to Expected Utility Theory-the Paradox Business e. Application: Crime and punishment

Outline Enterprises Accounting Transactions, Accounting Events, and Accounting Circumstances Economic Activities and Accounting Elements Accounting Equation Task Team of

3. Comparative Statics a. Indirect Utility Functions b. Expenditure Functions and duality C. Expenditure Function and Price Indices d. Slutsky via Utility Functions e. Slutsky via Preferences

Describe the relationship between analysis of variance, the design of experiments, and the types of applications to which the experiments are applied. Differentiate one-way randomized block, and two-way analysis of variance techniques Arrange data into a format that facilitates their analysis by the appropriate analysis of variance