Let X be a random variable with the function,Let f (x) ="for x >A,o elsewhere.Derive u and show that T -X is biased estimator of 2.Can you modify T -X in order to get an unbiased estimator of A.

The expected value of X is defined as μ=∫λ∞x.f(x)dx And an estimator to be unbiased its expected…

Answered: Derive u and show that 7 X is biased…

Math

Statistics

Derive u and show that 7 X is biased estimator of 2. Can you modify 7T -X in order to get an unbiased estimator of A.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 20E

See similar textbooks

Related questions

Q: Q2) The following data represents the results of an experimental test, if the relation between…

A: Data given X:4,7,12,15,24 Y:13,10,9,7,4

Q: What is the test statistic? (Round your answer to two decimal places.) 53.55 O Part (f) What is the…

A: The expected frequencies will be obtained under the independence assumption. If independent, eij =…

Q: Which of the following is a reason why fixed effect models can't estimate coefficients on variables…

A: Given information: The drawback of fixed effect model is given.

Q: Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests…

A: The events are defined as follows:: stands for the test that gives a positive result and : means…

Q: Suppose that 95% of the bags of certain fertilizer mix weigh between 49 and 53 pounds. Averages of…

A: The central limit theorem studies the nature of the sampling distribution of the sample mean when…

Q: A negative correlation means that as the values on X increase, the values on Y O increase decrease O…

A: The objective of the question is to understand the meaning of a negative correlation in statistics…

Q: If two variables are related so that increasing values of one variable are associated with…

A: Interpretation of correlation: (i) There is a negative correlation if two variables are related so…

Q: The correlation of the relationship between the number of reaches into the bag and the number of…

Q: The least square estimators are a. Period estimators b. Point estimators c. Population estimators…

Q: 5. In a large class, the instructor ran a regression with the independent variable(x) as the grade…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Percent of SmokersThe data in NutritionStudy include information on nutrition and health habits of a…

A: From the given information, the claim of the problem is that the proportion of smokers is different…

Q: 2 3 4 f(x) 0,99 3,88 7,66

Q: Through the next several problems we will construct a box plot for the following set of 20 exam…

A: We have to find minimum value and Midian for given data

Q: (1 point) A new cream that advertises that it can reduce wrinkles and improve skin was subject to a…

Q: For the following data (0, 22), (15, 24), (18, 37), (22, 25), (24, 123) what three data points of x…

Q: If the data is weight, the z-score for someone who is overweight would be what?? if the data is…

A: Also known as standard score, z-scores are a way to compare two scores that may or may not be from…

Q: Four pairs of data yield r = 0.942 and the regression equation y = 3x. Also, y = 12.75. What is th…

Q: you have two results for p= technically which one is the correct reference?

A: We have to find the value of p.

Q: Suppose that X1, X2,... Xn are n values of a variable X and X is the arithmetic mean. Can we obtain…

Q: The grades of a sample of 9 students on a prelim exam (x) and on the midterm exam (y) are shown in…

A: Let X denote the prelim exam Let Y denote the midterm exam Calculation:

Q: X, =2, o =9, X2 =-1, ox, = 4 and Cx,x2 =-3, are transformed to new random variables Y, and Y,…

Q: Please give Q3 for this data

A: the data in ascending order is 2,60,70,70,72,72,75,76,78,78,79,80,80,81,84,84,85,86,90,92

Q: give the first Q1 for this d

A: Arrange the data as follows: 2 60 70 70 72 72 75 76 78 78 79 80 80 81 84…

Q: Suppose P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.10. Find P(B | A) = Question Help: Add Work…

A: GIVEN DATA P(A) = 0.42P(B) = 0.48P(A∩B) = 0.10

Q: If X Gamma(4,6) the the variance of X is 4 24 144

Q: n estimating the regression in problem #2 you are also 4. concemed that the tstatistics may be…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: A chi-square test for independence is being used to evaluate the relationship between two variables.…

Q: Suppose the mean of Y is 99. What does the mean of X become if you multiply X by 1.37? (Use two…

A: Given: Mean of random variable xi is =99 If you multiply each xi by 1.37 then the new mean of x?

Q: 6.25 Determining sample size. Refer to the previous exercise. You really want to use a sample size…

A: Given that standard deviation, σ=1.24 hours mean, μ=6.78

Q: A researcher collects data that represents the average number of hours of sleep in the last two…

A: We have given difference in sleeping hours for two groups and we have to find the t obtained and p…

Q: The variation of Y around its mean can be decomposed into which two parts?

A: Note: Hey there! Thank you for the question. As it is not mentioned whether Y is the response…

Q: 1. The accompanying data on IQ for first-graders at a university lab school was introduced in…

A: From the given information, The data can be expressed as below: 82 96 99 102 103 103…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Let X be a random variable with the function,
Let f (x) =
"for x >A,
o elsewhere.
Derive u and show that T -X is biased estimator of 2.
Can you modify T -X in order to get an unbiased estimator of A.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Suppose that @, and ô, are unbiased estimators of the parameter 0 and that V@,) = 15 and V(@2) = 4. What is the relative efficiency of the two estimators?
Can you give a scenario for e and f please?
Please solve only part b in 1 hour to get a thumbs up
Please solve asap. Easy problem. 1st exercise.
EX7.8) Let Y be a random variable having a uniform normal distribution such that Y U(2,5) 2 Find the variance of random variable Y.
Compare these three estimators. Which one do youprefer and why?
A data with 18 points will be integrated as accurately as possible using a combination of Simpson's rules. It will require ____ applications of Simpson's 3/8th rule and _____ applications of Simpson's 1/3rd rule
8
Consider the model Y = B1 + B2X + e, which we estimate using a random sample with 12 observations. Let bj and b2 be the estimators for B1 and B2 and recall Eê, where ê; = Y; – bị – b2X;. Suppose the sample correlation between {X; }"_-1 and {Y;}"_, is 0.5 and E(Y; – Ỹ„)² = 100. What is ổ?? %3D n-2 Hint: (i) for simple regression, the regression R? is equal to the squared sample correlation between X and Y. (ii) R² = 1 – SSE where SSE = Eế and SST SST = O a. 7.5 O b. 8.5 О с. 9 O d. 10 O e. 8 O f. 7 Clear my choice
CBS news reported that 4% of adult Americans have a food allergy consider selecting 10 adult Americans at random define the variable x as: x= number of people in the sample of 10 that have a food allergy a. p(x<3) b. p(x lesss than or equal to 3) c. p (x greater than or equal to 4) d. p (1 less than or equal to x less than or equal to 3)
I JIO 4G 10:03 VOLTE You ぐ Just now 8. A market investigator returns the following' data. Of 1,000 people consulted 811 liked chocolates, 752-liked toffees and 418 liked boiled sweets, 570 liked both chocolates and toffees, 356 liked chocolates and boiled sweets and 348 liked toffees and boiled sweets, 297 liked all' three. Show that this information as it stands must be incorrect.
Suppose that a worker value jobs by both the wage rate and the workplace collegiality. The woker’s utility is strictly increasing in the wage rate but strictly decreasing in the chance of being bullied in the workplace. The utility function of the worker is U = wa (1-), where a = 0.5, w is the wage rate and b is the probability that a worker is bullied in a workplace. Suppose for a typical job A, the chance of getting bullied is 0.01, and the wage rate is 100. Which of the following statements is correct? a. If job B offer w = 121 and b = 0.04, the worker would prefer job B to job A b. If job B offer w = 144 and b = 0.09, the worker would prefer job B to job A c. If job B offer w = 80 and b = 0, the worker would prefer job B to job A d. If job B has bullying probablity b = 0.04, the worker is indifferent between job A and job B. Then, the compensating wage differential of job B is at least 25. e. If job B offer w = 80 and b = 0, the worker would be indifferent between job A…