User Account

All Pages

Find the crlb for variances of unbiased estimators

Assignment Help Basic Statistics
Reference no: EM131429625

Consider a random sample of size n from a Poisson distribution, Xi ~ POI(mu).

a) Find the CRLB for the variances of unbiased estimators of theta = e^(-mu).

b) Is theta(hat) an unbiased estimator of theta?

c) Is theta(hat) asymptotically unbiased?

Hint: Note that Y=SumXi~POI(n*mu), and that E(theta(tilde)) and Var(theta(tilde)) are related to the MGF of Y.

Reference no: EM131429625

Questions Cloud

Probability of randomly sampling : What is the probability of randomly sampling 140 women 16 years of age or older and getting 35 or more who do volunteer work? What is the probability of getting 21 or fewer from this group?
Discuss specific aspects of the freedom movements : Discuss specific aspects of the freedom movements of the 50s and 60s that you believe paved the way for the election of Barack Obama in 2008. Highlight at least one (1) specific piece of legislation and at least one (1) leader who contributed to i..
Mins with a standard deviation : How do you figure this problem. The average arrival time after an exhibit opens is 3hrs and 48 mins with a standard deviation of 52 mins. At what time after the doors open will only 15% of the people coming have arrived?
Discuss about the religion and the future of humanity : Among the religions we discussed this week, identify two (2) religions that you never knew about or found the most interesting. Explain your response.(Choose from Unification, Mormons, Jehovah's Witnesses, Caodaism, Universalism, Baha's, Rastafari..
Find the crlb for variances of unbiased estimators : Consider a random sample of size n from a Poisson distribution, Xi ~ POI(mu). a) Find the CRLB for the variances of unbiased estimators of theta = e^(-mu).
Watch the movie - even the rain : Please watch the feature length film "Even the Rain" (1hr 45 min) and write a gut reaction. It is an awesome film that combines the story of Colombus' exploitation of the native people of Hispaniola and that of contemporary indians in Bolivia. Ple..
Branching out into cold beverages : WidgeCorp is considering branching out into cold beverages. You have been asked to come up with a regression model to forecast monthly sales of cold beverages for the next year. Think about what variables you might include in your model.
Determine the velocity of the cradle : . Knowing that the system is initially at rest, determine the velocity of the cradle after it has moved 250 mm.
Understanding chi square and hypothesis testing : It is used when it does not make sense to look at the mean of such variables. (You can refer to the article for this phase for further information.) The following information may be helpful in understanding Chi Square and Hypothesis testing:

Reviews

Write a Review

Basic Statistics Questions & Answers

  Computing the kappa statistic and its standard error

Compute the Kappa statistic and its standard error regarding reproducibility of the diagnosis of dyspnea in the clinic.

  Compute the mean and standard deviation of the population

Using historical records, the personnel manager of a plant has determined the probability distribution of X, the number of employees absent per day. Calculate the mean of the population.

  Based on a study of salaries of man and women who drive

based on a study of salaries of man and women who drive expensive cars a researcher concludes that owning an expensive

  What percentage of the men who applied to program a

What percentage of the men who applied to program A did program A admit? What percentage of the women who applied to program A did program A admit? Repeat the question for program B.

  Calculate r between systolic and diastolic blood pressure

When a regression model is nonlinear or the error terms are not normally distributed, the standard hypothesis testing methods and confidence inter- vals do not apply. However, it is possible to solve the problem by bootstrap- ping. How might you b..

  Consider that the population is normally distributed

consider that the population is normally distributed construct a 95 confidence interval estimate for the population

  Problem regarding the real estate

A real estate broker purchased 3 two- bedroom houses in a depressed market for a combined cost of $71,000. He expects the cleaning and repair costs on each house to average $3700

  Compare the vital capacity for the two groups

Compare the vital capacityfor the two groups.calculate a 99% confidence interval for the difference.the result of this comparison may be misleading.why?

  Characterize the relationship between annual salary and age

Characterize the relationship between annual salary and age. What is the pattern of the relationship? How strong is the association?

  Informed consent from all human participants

Researchers must obtain Informed Consent from all human participants in a research study. Informed Consent requires that participants are informed of the following (check all that apply):

  A polling agency wants to determine the size of a random

a polling agency wants to determine the size of a random sample needed to estimate the proportion of homeowners who

  Estimated from the samples described

The margin of error is = _______ (round to the nearest tenth as needed) Find the 95% confidence interval= _______ (round to the nearest tenth as needed)

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd