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Alexxandr [17]
3 years ago
10

In class we derived the MOM and MLE for an exponential distribution with parameter ????. Conduct a Bootstrap simulation to compa

re the estimation of λ with sample sizes of n = 10, n = 100, and n = 500. Choose true value λ = 0.2 and use B = 1000. Calculate and compare the mean and standard error for each set of simulations to each other as well as their theoretical values.

Mathematics
1 answer:
Dimas [21]3 years ago
8 0

Answer:

Below is the R code for the bootstrapping in exponential distribution. The result is attached below.

####################################

rm(list=ls(all=TRUE))

set.seed(12345)

N=c(10,100,500)

Rate=0.2

B=1000

MN=SE=rep()

for(i in 1:length(N))

{

n=N[i]

X=rexp(n,rate=Rate)

EST=1/mean(X)

ESTh=rep()

for(j in 1:B)

{

Xh=rexp(n,rate=EST)

ESTh[j]=1/mean(Xh)

}

MN[i]=mean(ESTh)

SE[i]=sd(ESTh)

}

cbind(N,Rate,MN,SE)

Step-by-step explanation:

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3 years ago
P is a polynomial of degree 4 with three zeros: -1 and 2 are zeros of multiplicity one, and 3 is a zero with multiplicity two. I
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Answer:

P(x) = (x+1)(x-2)(x-3)^2 + 108

Step-by-step explanation:

let me know if you want an explanation

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2 years ago
Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her bro
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The system of inequalities can model Gabrielle’s situation is;

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<h3>Inequality</h3>

It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.

By setting variables as follows;

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Brownie:

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Cookie:

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Learn more about inequality:

brainly.com/question/25275758

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5 0
2 years ago
Tony has a bucket filled with green, blue, yellow, and red markers. He removes 3 markers from the bucket, with replacement. Sele
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Answer:

Options A), B), C), D)

Step-by-step explanation:

There are 4 colors of markers.

Take out three "with replacement" markers.

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B) It is likely to get a marker of each color

C) If 3 markers are taken it is likely to get the same amount of green and blue markers. For example, if there are 3 markers obtainable: blue, green, yellow. Then the number of blues and yellows is the same.

D) If 3 markers are taken it is likely to obtain the same amount of red and yellow markers. For example, if there are 3 markers you could obtain: red, yellow, blue. Then the number of reds and yellows is the same.

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