1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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:

You might be interested in
Y=x what is the rate of change ​
lesya692 [45]
Slope? rate of change is slop so try that
5 0
3 years ago
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular
Tcecarenko [31]

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = \frac{360}{8}

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

sin 22.5=\frac{AC}{OA}

=\frac{AC}{x}

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, cos 22.5=\frac{OC}{OA}

=\frac{OC}{x}

So, OC = x cos 22.5°.

Area of Δ AOB = \frac{1}{2}(AB)(OC)

= \frac{1}{2} × (2x sin 22.5°) × (x cos 22.5°)

= \frac{1}{2} x^{2} (2 sin 22.5° cos 22.5°)

= \frac{1}{2} x^{2} sin 45°

= x^{2} / 2\sqrt{2}

Area of the octagonal gazebo = 8 × one triangular area

= 8 × (x^{2} / 2\sqrt{2})

=2\sqrt{2} x^{2}

=2.828x^{2}

Area required for mulch = circular area - area of the gazebo

=3.14x^{2} -2.828x^{2}

=0.312x^{2}

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = 0.312x^{2} × 1.5

=0.468x^{2}

Hence, total cost g(m) = 0.468x^{2}.

4 0
3 years ago
Pleaseeeee helppp!!!!!!!!!!!
Mrrafil [7]
4^{2x}=7^{x-1}\\
16^x=7^x\cdot7^{-1}\\
\dfrac{16^x}{7^x}=\dfrac{1}{7}\\
\left(\dfrac{16}{7}\right)^x=\dfrac{1}{7}\\
x=\log_{\tfrac{16}{7}}\dfrac{1}{7}\approx-2.35389
5 0
3 years ago
What's does (6x19)+(6x8)
kenny6666 [7]
The answer is 162. Hope this helps
3 0
3 years ago
Read 2 more answers
What does 0 represent on the number line?
Ratling [72]

Answer: So zero represents the point when locating a point on the number line like negatives and positives

3 0
2 years ago
Other questions:
  • Find two decimals with a product between 1 and 2
    9·1 answer
  • What is the missing number in this pattern? <br> 2, 4, _, 16, 32<br> 5<br> 8<br> 10<br> 6
    7·1 answer
  • 3 x 22 + 7 x 41 - 24 = n
    15·2 answers
  • Which expression is equivalent to 5x - 30
    7·1 answer
  • If I have a pump that produces 600 bottles in 1.5 hours, what is the bottles per minute? How many bottles can be produced in a 6
    14·1 answer
  • Find the volume of the composite solid below round your answer to the nearest tenth
    6·1 answer
  • Helppppppp mmeeeeee plllzzzzz
    10·1 answer
  • What is the positive difference between -8. and 9​
    11·2 answers
  • Can you help me with this
    10·1 answer
  • I don't understand how to do percentages please explain​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!