1 For these more advanced pdf's, compute the constant B required for proper normal-ization:Beta (b > -1, c>-1):fx(z) = { Bx (1 –- r)°, 0 0,n = 1,2,...):Brn/2)-1 exp(-z/20²), I> 0,10,fx(x) =%3Dotherwise.

Answered: Image /qna-images/answer/ab63ac9b-9677-44c7-b1fd-6d90969b33a7.jpg

Answered: For these more advanced pdf's, compute…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let yt = φyt−1 + et with et ∼ WN(0,σ2) and |φ| < 1. Consider the over-differenced process wt = (1 − L)yt.(i) What is the model followed by wt? (ii) Is wt invertible? (iii) Obtain V [wt] and compare its magnitude with V [yt] and hence comment on the impact of over-differencing on the variance of a stationary process.
a. What is the joint marginal PDF of X and Z?b. What is [P 0 <= Y <= 3/2 | X = 1/3 Z = 5/2]?
Consider the seriesxt = sin(2πU t),t = 1, 2, . . ., where U has a uniform distribution on the interval (0, 1). Prove xt is weakly stationary
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f X1,X2,...,Xn constitute a random sample of size n from a geometric population, show that Y = X1 + X2 + ···+ Xn is a sufficient estimator of the parameter θ.
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Let X and Y have the joint PDF f(x,y) = 2e−x−y for 0<x<y<∞. Find the joint PDF of Z = 2X and W = Y − X, as well as the two marginal PDFs.
You study the relation between the log excess return on stock XYZ, denoted by Re XY Z,t, and the log excess return on the market portfolio, Re M,t, based on 193 monthly observations: R e XY Z,t = β1 + β2 R e M,t + uXY Z,t. You run this regression in R and obtain from the standard regression output the following parameter estimates and p-values (in squared brackets): Re XY Z,t = −0.3199 + 2.0262 Re M,t + uXY Z,t. [0.7689] [0.0001] (1) (a) Which econometric conclusions you can draw from the p-value of the intercept coefficient? In your answer, clearly explain the meaning of the p-value. Further, refer to the role of the significance level in the context of the test of significance approach, i.e., which steps of the test are (not) affected
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A rectangular plate with insulated surface is 10 cm. wide and so long compared to its width that it may be considered infinite length. If the temperature along short edge y = 0 is given u(x,0) = 8 sin(px/ 10) when 0 <x <10, while the two long edges x = 0 and x = 10 as well as the other short edge are kept at 0o C, find the steady state temperature distribution u(x,y).

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For these more advanced pdf's, compute the constant B required for próper nörm ization: Beta (b > -1, c > -1): fx(x) = Ba (1-r), 0 0,n = 1,2,...): S Br(n/2)-1 exp(-1/20²), >0, 0, fx(x) = %3D otherwise.