Consider independent observations y₁, ..., yn from the model Y₁likelihood 1(µ) as appropriate, compute the following items.1. Derive the maximum likelihood estimate û.2. Write the second derivative of log-likelihood 1(μ).Poisson(μ). Using likelihood L(µ) and log-

The objective of this question is to derive the maximum likelihood estimate (û) and to write the…

Answered: Consider independent observations y₁,…

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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(a) Determine the value of k for a valid pdf.(b) Complete the cdf of X .(c) What is the expected total deduction on a randomly chosen form?(d) Let Y = ln(X /5), where ln(·) is natural logarithm. Determine the pdf as wellas the cdf of Y , and further identify which common distribution that Y follows?
Consider an item with time to failure T that has a Weibull distribution with shape parameter 2.25 and scale parameter 0.0004 per hours. When the item fails it is repaired to an as good as new condition. The repairtime (downtime) D has a lognormal distribution with parameters 1.5 and 0.42. The item is supposed to be in continuous operation. (a) Find the average availability of the item. (b) A preventive maintenance task that takes 5 hours is performed every 300 hours. Find the operational availability of the item.
What was the maximum sustained yield under the logistic harvest model when k=500 and r=0.4? Values 1 500 1000 49L K L N N.d num [1:601] 0 123456789... num [1:50] 5 157.502 1079.678 0.732 24.054 ... num [1:50] 114 329 349 350 350 ... 0.4 int [1:50] 1 2 3 45678910 50 t Nt r Z Z L P T time y Files Plots Packages Help Viewer Presentation Zoom Export num [1:601] 0.4 0.399 0.398 0.398 0.397 ... Publish Observed Growth Rate 69 -0.1 0.1 0.3 0.5 Observed Growth Maximum Growth Carrying Capacity 0 100 200 300 400 500 600
The type of battery in Jim's laptop has a lifetime X (in years) which follows a Weibull distribution with parameters α=2 and β=4. The type of battery in Jim's tablet has a lifetime Y (in years) which follows an exponential distribution with parameter λ=1/4.Find E(XY−2Y).(Answer as a decimal number, and round to 2 decimal places).
This exercise requires the use of a graphing calculator or computer programmed to do numerical integration. The normal distribution curve, which models the distributions of data in a wide range of applications, is given by the function 1 p(x) = e (x - 1)?/(202), V 2n 0 where n = 3.14159265... and o and u are constants called the standard deviation and the mean, respectively. Its graph (for o = 1 and u = 2) is shown in the figure. f(x) 0.3 0.2 0.1 3 4 5 With o = 3 and u = 0, approximate p(x) dx. (Round your answer to four decimal places.)
x > 1 A RV X has the PDF fx(x) = otherwise (a) Find the MGF Mx(t) of X and clearly define the values of t for which it exists. (b) Find the mean (µ) and variance (o?) of the RV X using the MGF from (a).
"given a simple regression with slope b=3, s (sub y)=8, and s (sub x)= 2, and n=30. Find the standard error of the estimate."
Assume the time required to fully recharge an electric car is uniformly distributed between 160 and 220 minutes. What is the expected charge time, E(x)?
Suppose you obtain the following regression model, E[y]=91+79*x1 +20*x1*x2. What is the impact of a 39 unit change of x1 on the expected value of y when x2 is at its mean of 40?
Please help. I am trying to review for a test and these practice problems are stumping me. Please no code just math :)
PLease Show all work so I can Understand

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Consider independent observations y₁, ..., yn from the model Y₁ likelihood 1(µ) as appropriate, compute the following items. 1. Derive the maximum likelihood estimate û. 2. Write the second derivative of log-likelihood 1(μ). Poisson(μ). Using likelihood L(µ) and log-