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A certain random signal has been sampled to form a sequence of random variables, Xn, n = 1,2,3... The samples have the property that the average power in the signal is E[X2n] = 4 and the correlation between adjacent samples is E[XnXn+1]=2. We wish to digitize this signal using DPCM and hence we need to design a linear predictor. To keep it simple we will design a simple one-tap linear predictor which forms an estimate of the next sample by forming a constant times the previous sample X'n+1= aXn.
The goal is to choose the constant a so that the prediction error en+1= Xn+1- X'n+1is minimized in the mean square sense.
(a) Find the value of a which makes E[e2n+1] as small as possible.
(b) Find the resulting value of the mean square error, E[e2n+1] How does this compare with the power in the original process E[X2n].
explain why the typical hypothesis that analysts want to test is whether a particular regression coefficient (B) is equal to zero (H0: B = 0) versus whether that coefficient is not equal to zero (H1: B ≠ 0).
Calculate the standard deviation of both rates of return. Hint: By definition, var(X) = E(X2) - (E(X))2 = E[(X - E(X))2].
Using the Poisson PMF, when the mean is 6, what is P(X=9), Using the binomial PMF, when p=.6 and n=8 what is P(X=7)?
The chapter includes an example of a firm where the PM dispensed with all the planning formality because no one ever looked at it anyway. What did the PM think the purpose of such planning was in this firm? What should the firm do in the future ..
Your assignment is to design a voting machine that is immune to tampering because it's not programmable. It should offer the voter a choice of two candidates and record the votes using two 5-bit binary counters. Polling is to be private but super..
Interpret the null hypothesis using your t-statistic. Interpret the null hypothesis using p-value. Interpret your confidence interval and test the null hypothesis using confidence interval.
1) Use Stata to analyze the following data from a clinical trial designed to evaluate whether or not patients with coronary artery disease respond to different treatments. The treatments are called heparin and enoxaparin. Let
Identify values for p,n and x and explain how this fits binomial distribution model.
Problem: Consider the curve defined by the equation x4 + y4 = 4xy + 52. a. Find all points on the curve at which the tangent line is horizontal.
Discrete-time model for an economy
1.nbspfor r euro ir show thatnbsp 2. weknow that the dirichlet seriesnbsp converges fornbspsigma gt 0.use this to
What are the managerial implications of a correlation between these variables?
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