Asked Nov 16, 2019

List two unbiased estimators and their corresponding parameters. 


Expert Answer

Step 1

Unbiased estimators:

An estimator is used to study the population whose parameters are unknown. An estimator acts as proxy to represent the parameters of population. The estimate that has been can be either biased or unbiased which is completely depend the population parameter described.

Step 2


Here, X1, X2, …, Xn be a random sample of size n taken from the given exponential distribution with parameter.

For a random variable, Xi having the given exponential distribution, E (Xi) = τ.

The MLE of the exponential parameter τ is unbiased estimator of the the sample mean.

The proof of MLE is unbiased is given below:


Image Transcriptionclose

MLE, X E() E(X) - ,Σ MLE is unbiased.

Step 3


If Xi is a Bernoulli random variable with parameter p, then E(Xi)=p. Prove that the maximum likelihood e...


Image Transcriptionclose

η E(β) =Ε Σx η 1 ΣΕΧ) 72 η Σ. 77 - 1φ) (пр) 77 = p


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: "Based on recent data, 80% of all part-time college students are female. A survey of 1000 college st...

A: Parameter:A parameter is a function of observations in a population. It is an numerical quantity tha...


Q: According to the analysis of Federal Reserve statistics and other government data, American househol...

A: Given information:Variance is unknown. So, we should be use t-distribution.Sample size (n) = 500Samp...


Q: Almost all employees working for financial companies in New York City receive large bonuses at the e...

A: Given information:Sample size (n) = 65Sample mean = $55000Sample standard deviation (s) = $18000


Q: if an original statement has new greater than or equal to 50, what is the alternative hypothesis

A: Consider that meu is greater than or equal to 50.


Q: I need help with question 11 please

A: Given dataChildrenMean time spent on watching television µ1= 21.5 hrsTeensMean time spent on watchin...


Q: Find the 25th, 50th, and 75th percentile from the following list of 33 observations. 1 4 6 8 14 ...

A: Data given in ascending order which is useful for finding percentiles.Here, n=total number of values...


Q: 4 and 5 please. TI 84 steps please

A: It is given that the test statistic is –1.7891 and the test is left tailed.


Q: Consider a study in which the sum of squares based on an experimental group of 10 participants is 70...

A: Pooled variance:The pooled variance is given by,


Q: 220 people are asked how many siblings they have? # of Siblings Frequency Relative Frequency Cumu...

A: Solution:a.The table is completed below:The frequency of 1 sibling is calculated below:The total fre...