7 -0.0 Let X1, ... , Xn be a random sample from a distribution with pdf f(x, 0) px?e=0x, x € (0,00) and zero elsewhere with 0 > 0. (a) Argue that Y = {i=1 Xi is a complete sufficient statistic for 0. a (b) Compute E(1/Y) and find the function of Y that is a unique MVUE of 0. =
Answers
X_i is a complete sufficient statistic for θ.To show that Y = {i=1}X_i is a complete sufficient statistic for θ, we need to show that the distribution of Y given θ does not depend on θ. Let g(Y/θ) be the probability density function of Y given θ.
a. Argue that Y = {i=1}
X_i is a complete sufficient statistic for θ.To show that Y = {i=1}
X_i is a complete sufficient statistic for θ, we need to show that the distribution of Y given θ does not depend on θ.
Let g(Y/θ) be the probability density function of Y given θ,
then:
g(Y/θ) = ∫(0,∞) f(Y/θ)π(θ)dθ
where f(Y/θ) is the joint probability density function of {X_1,X_2,…,X_n} given θ and π(θ) is the prior density of θ.
Now, f(Y/θ) = ∏[0 0.
In this question, we were given a random sample X_1,X_2,…,X_n from a distribution with probability density function
f(x/θ) = θ*exp(-θ*x) for 00.
We needed to show that Y = {i=1}X_i is a complete sufficient statistic for θ and then find the function of Y that is a unique minimum variance unbiased estimator (MVUE) of θ.
For part a, we showed that Y = {i=1}X_i is a complete sufficient statistic for θ. We did this by showing that the distribution of Y given θ does not depend on θ.
We used the factorization theorem of Neyman-Pearson to show this.
For part b, we needed to find the function of Y that is a unique MVUE of θ. We showed that any function of Y is a complete sufficient statistic for θ.
We then used the formula for the expected value of 1/Y to find the function of Y that minimizes the variance of the estimator of θ. This function is g(Y) = k/(a+∑x_i),
where k and a are constants. Hence, g(Y) is the unique MVUE of θ.
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Related Questions
Help plsssssssss .... another option was 16.4 couldn’t fit in picture
Answers
.....
Answer:
cos35=a/20
0.8191=a/20
a=0.81×20
the answer is 16.4
0.81×20=16.4
Part B: Answer the following two (2) Problem Questions ( 15 marks each =30% total). Use the IRAC method as explained on Canvas and in classes. Question 1 (15 marks) Marcus Superberg has launched his new social media platform called the Deltaverse, which he brags complies with privacy and cybersecurity legislation worldwide. The advertising campaign shows that you can share personal videos, pictures, text and voice messages with trusted friends only. Third parties, hackers or stalkers, cannot access, steal or sell your personal data. Marcus Superberg claims that he counts on the best team of computer programmers, and his DeltaVerse is powered by an unbreakable unique algorithm. Will Bates, the founder of MetaSpace and Marcus Superberg's closest competitor, knows that such an unbreakable algorithm is impossible to create. Will Bates knows first-hand that hackers are more skilful than ever in the history of computer sciences and cybersecurity technology is still in its infancy stages. Will Bates is angry as MetaSpace started losing subscribers to DeltaVerse and threatens Marcus Superberg in a TV show with legal action for misleading and deceiving the general public into believing that a 100% secure social media platform is possible. Marcus Superberg comes to you for advice and asks whether the MetaSpace founder is bluffing about bringing an action under the Australian Consumer Law as MetaSpace is just a competitor and not a consumer. Is MetaSpace likely to succeed in a legal battle against Marcus Superberg? Question 2 (15 marks) Ingrid is passionate about cycling, so she dreams of competing in the Olympic Games in Paris in 2024. To pay for her professional equipment, training and flight ticket to Paris, she started delivering packages earlier this year using her bicycle for a new courier company called RoadRunners. She is happy because she passed all the training tests, and doing the job only involves following a short manual on collecting, transporting, and delivering the packages. Ingrid can choose to accept deliveries using the RoadRunners application on her smartphone, and she gets paid a fixed rate for delivery to the customer. There is a penalty if customers complain that delivery has taken more than the RoadRunners 15-minute guarantee; however, she thinks she looks gorgeous in her fancy RoadRunners uniform. On top of that, she is getting fitter and faster for the Olympic Games because she can work seven days a week taking as many deliveries as she wishes. One day Ingrid rides back from delivering packages to a new neighbourhood when a dog bites her on the leg, causing her a severe laceration. She falls from the bicycle and fractures her left wrist. Ingrid cannot work for six weeks, and her best friend - a law student - tells her to claim workers compensation. Mr Byrde, the owner of RoadRunners, tells Ingrid that he is afraid she is an independent contractor, not an employee. Advice Ingrid as to whether she is entitled to workers compensation.
Answers
Question 1: MetaSpace is unlikely to succeed in a legal battle against Marcus Superberg under the Australian Consumer Law.
Question 2: Ingrid may be entitled to workers compensation as an employee of RoadRunners.
Question 1:
Issue: Can MetaSpace succeed in a legal battle against Marcus Superberg under the Australian Consumer Law?
Rule: Under the Australian Consumer Law, businesses are prohibited from engaging in misleading or deceptive conduct in trade or commerce. To establish a claim, MetaSpace needs to show that Marcus Superberg made false representations about the security and privacy of DeltaVerse, which misled or deceived the general public.
Application: Marcus Superberg claims that DeltaVerse complies with privacy and cybersecurity legislation worldwide, and personal data cannot be accessed, stolen, or sold. He further claims to have an unbreakable unique algorithm protecting user data. Will Bates, the founder of MetaSpace, argues that such claims are impossible and accuses Marcus Superberg of misleading the public.
To assess MetaSpace's likelihood of success, it is important to determine if MetaSpace falls within the scope of consumers under the Australian Consumer Law. While MetaSpace is a competitor, it is possible for businesses to be considered consumers if they acquire goods or services for personal, domestic, or household use. If MetaSpace can establish that it falls within the definition of a consumer, it may have standing to bring an action against Marcus Superberg.
Conclusion: Based on the information provided, it is unclear whether MetaSpace can succeed in a legal battle against Marcus Superberg under the Australian Consumer Law. MetaSpace's ability to establish its consumer status and prove that Marcus Superberg engaged in misleading or deceptive conduct would be crucial factors in determining the outcome.
Question 2:
Issue: Is Ingrid entitled to workers compensation?
Rule: The entitlement to workers compensation depends on the classification of Ingrid's working relationship with RoadRunners. If she is considered an employee, she may be eligible for workers compensation benefits. However, if she is classified as an independent contractor, she may not have the same entitlements.
Application: Ingrid works for RoadRunners as a delivery courier, using her bicycle to deliver packages. She receives a fixed rate for each delivery, works at her own discretion, and follows RoadRunners' guidelines. She also faces penalties for exceeding the 15-minute delivery guarantee. Ingrid has been injured while performing her delivery duties.
To determine Ingrid's employment status, it is necessary to consider various factors, including the level of control exercised by RoadRunners over Ingrid's work, the degree of independence she has, the provision of equipment, and the nature of the work relationship. The fact that Ingrid uses the RoadRunners application and follows their guidelines suggests a degree of control indicative of an employment relationship.
If Ingrid is found to be an employee, she may be entitled to workers compensation benefits, including medical expenses and income replacement during her recovery period. However, if she is classified as an independent contractor, she may need to seek compensation through other avenues, such as a personal injury claim.
Conclusion: Based on the information provided, Ingrid may be entitled to workers compensation if she is classified as an employee of RoadRunners. The determination of her employment status will depend on a thorough assessment of the specific circumstances of her working relationship with RoadRunners, considering factors such as control, independence, and the nature of her work. Ingrid should seek legal advice to fully evaluate her entitlement to workers compensation benefits.
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9, 7, 9, 8, 4, 5, 2,4
Mean__
Median__
Mode__
Range__
Answers
Answer:
Mean= Summation /number of terms
= 48/8
=6.
Median
To do this
arrange all terms from smallest to biggest
That is
2,4,4,5,7,8,9,9
The two middle numbers are
5 and 7.
To get the median
add both and divide by 2
5+7 = 12... 12/2 =6
Median=6
Mode.... This is the number that appears most
Mode = 4 and 9.(Bimodal) Both appear equally.
Range: Highest - Lowest
= 9-2 =7.
Answer:
mean = 6 median = 6 mode 9 and 4 range = 7
Step-by-step explanation:
mean = 2+4+4+5+7+8+9+9÷ 8 = 6
median = 5+7÷2
mode = 9 and 4
range = 9-2=7
make a conjecture about the relationship between two intersecting lines that form four congruent angles
Answers
Answer:
u need to put a picture of the lines so we know what ur talking about
Mrs. Chapman is reviewing her 2018 property taxes. Use the tax form to complete the statement below.
I just need the last one.
Answers
Step-by-step explanation:
.19 % * $ 600 000 = .0019 * 600 000 = $ 1140.00
The small rectangle was enlarged to create the big rectangle. A smaller rectangle has a length of 12 feet and a width of 2 feet. A larger rectangle has a length of x feet and a width of 5 feet. Not drawn to scale What is the missing measure on the big rectangle?
Answers
Answer:
the bigger rectangle = 30 x 5
Step-by-step explanation:
divide the bigger width by the smaller width to find the rate of change (2.5) and multiply both numbers (length and width) to get the larger rectangle.
Answer:
30
Step-by-step explanation:
30
A television has a width: height ratio of 9:5. if the television is advertised as having a 36-inch screen (remember the screen is measured as the diagonal), what is the actual height and width of the television? what is the surface area of the screen?
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Find the diagonal of a TV with a width : height ratio of 9:5
\(9^2+5^2=c^2\\\\81+25=c^2\\\\106=c^2\\\\c=\sqrt{106}\)
Divide 36 by this result to get the scale factor
\(\displaystyle \frac{36}{\sqrt{106}}=\frac{36\sqrt{106}}{106}=\frac{18\sqrt{106}}{53}\)
Multiply both the width and height by the scale factor
Actual width: \(\displaystyle 9*\frac{18\sqrt{106}}{53}=\frac{162\sqrt{106}}{53}\approx31.47\:\text{inches}\)
Actual height: \(\displaystyle 5*\frac{18\sqrt{106}}{53}=\frac{90\sqrt{106}}{53}\approx17.48\:\text{inches}\)
Multiply the new width and height to find the surface area of the screen
\(\displaystyle \frac{162\sqrt{106}}{53}*\frac{90\sqrt{106}}{53}=\frac{14580(106)}{2809}=\frac{1545480}{2809}\approx550.189\: \text{square inches}\)
What type of Number is 2/9 *
Rational Number
Irrational Number
O Irregular Number
O Integer
Answers
Greetings from Brasil....
Every rational number is written as:
A/B where A ∈ ℤ and B ∈ ℤ* (B ≠ 0)
So in our case, 2/9 is a rational number, because we have the division of 2 by 9 and 2 ∈ ℤ and 9 ∈ ℤ*
solve for x............
Answers
11.8 is your answer.
value of x=11.8 .hope it helps.
There are 16 female performers in a dance recital. The ratio of men to women is 3:4. How many men are in
the dance recital?
There are
men in the dance recital.
Answers
Answer:
eh its 12 because
Step-by-step explanation:
according to my calculations if there are 16 females therefore the ratio is 3 to 4 men to women 3x4=12 and 4x4=16 so the answer is 12
i might be wrong please let me know
At the grocery store, LaKeisha buys 3 oranges, 2 cans of soup, and 1 box of cereal. The oranges cost $0.79 each, the soup costs $1.29 per can, and the box of cereal costs $3.49. Write an expression to represent the cost of LaKeisha's groceries with the terms in the order they were described. *
Answers
Answer:
2.37x + 2.58y + 3.49z
Step-by-step explanation:
The expression would be
Let us assume the organges be x
Soup be y
And, the cereal be z
Their cost would be $0.79, $1.29 and $3.49 respectively
Now as per the question
the expression would be
= 0.79 × 3x + 1.29 × 2y + 3.49 × z
= 2.37x + 2.58y + 3.49z
nineteen persons have first names zeke, wally, and linda; middle names lee and david; and last names yu, zamora,and smith. you can show proof by using the multiplication principle and the pigeonhole principle that at least two persons have the same first, middle, and last names.
Answers
By applying the multiplication principle and the pigeonhole principle, we can demonstrate that at least two persons among the nineteen mentioned will share the same first, middle, and last names.
The multiplication principle states that if there are x ways to do one thing and y ways to do another, then there are x * y ways to do both.
In this case, there are three choices for the first name (Zeke, Wally, and Linda), two choices for the middle name (Lee and David), and three choices for the last name (Yu, Zamora, and Smith).
Applying the multiplication principle, we find that there are 3 * 2 * 3 = 18 possible combinations of first, middle, and last names among the nineteen individuals.
However, since there are only 18 possible combinations and nineteen individuals, according to the pigeonhole principle, at least two persons must share the same first, middle, and last names.
This principle asserts that if you have more items than you have categories to put them into, at least two items must fall into the same category.
In this case, the individuals can be considered as items, and the possible combinations of first, middle, and last names can be viewed as categories.
Thus, based on multiplication and pigeonhole principles, we can conclude that among the nineteen individuals with specified names, there will be at least two persons who share the same first, middle, and last names.
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Suppose you read on the back of a lottery ticket that the chances of winning a prize are 1 out of 10. Select the best interpretation. a. If many people buy a ticket, about 1 in 10 will win. b. If you buy 10 tickets, more likely than not you will win exactly once. c. You will win at least once out of the next 10 times you play. d. You will win exactly once out of the next 10 times you play. I
Answers
The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.
This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.
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Enter the ordered pair for the vertices for (Ry-axis ○ T(2, 0))(QRST).
Answers
Answer:
The answer is:
\(Q' = (-3, 3)\\\\R' = (-5, -3)\\\\S' = (-2, -2)\\\\T' = (0, 1)\\\\\)
Step-by-step explanation:
All vertices of its quadrilateral were co-ordinated;
\(T(-2, 1), \ Q(1, 3), \ S(0, -2), \ R(3, -3)\) Therefore, we first undertake the operation correct: \(T(2, 0) \ QRST\), there;
\(T(2, 0) \ QRST\) \(\to T(-2 + 2, 1), \ Q(1 + 2, 3), \ S(0 + 2, -2), \ R(3 + 2, -3)\)
\(T(2, 0) \ QRST\)\(\to T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)\)
A preimage (x, y) will be the image in the next phase R-y-axis reflecting mostly on the y-axis (-x, y) and we've got it;
R y-axis \((T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)) = \ T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2), \ R'(-5, -3)\)From which we get \((Ry-axis \ T(2, 0)) \ (QRST = T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2),\ R'(-5,-3).\)
PLEASE HELPPPPPPPPPPPPPPPPPPPP ME HAS CONFUSION
Answers
Answer:
W = 76m
L = 83
Step-by-step explanation:
select each step to complete a proof by contrapositive of the theorem below. theorem: for every real number x, if -3x - 8 is irrational, then x is irr
Answers
The proof by contrapositive of the theorem is "For every real number x, if x is rational, then -3x - 8 is rational."
Assume x is rational, meaning x can be expressed as a ratio of two integers a and b, where b is not equal to zero. Thus, x = a/b.
We want to prove that -3x - 8 is rational. Substituting x = a/b, we get -3(a/b) - 8 = (-3a - 8b)/b.
Since a and b are integers, -3a and 8b are also integers. Thus, the numerator (-3a - 8b) is an integer.
We know that a/b is rational, so b is not equal to zero. Therefore, (-3a - 8b)/b is a ratio of two integers and is therefore rational.
Thus, we have shown that if x is rational, then -3x - 8 is rational, which is the contrapositive of the original theorem.
Therefore, the original theorem is true since its contrapositive is true.
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common fruction
2/3
\(2 \div3 + 4 \div 3\)
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\( \frac{2}{3} + \frac{4}{3} = \frac{6}{3} = 2 \\ \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Probit coefficients are typically estimatedâ using:
A.
the method of maximum likelihood.
B.
the OLS method.
C.
by transforming the estimates from the linear probability model.
D.
nonlinear least squaresâ (NLLS).
Answers
Probit coefficients are typically estimated using:
A. the method of maximum likelihood.
The method of maximum likelihood is used to estimate the probit coefficients. This method aims to find the coefficients that maximize the likelihood of observing the given sample data. It involves an iterative process to identify the most likely parameter values for the model, making it suitable for nonlinear models like the probit model. Maximum likelihood estimation is a widely used method in econometric analysis due to its desirable properties, such as consistency and asymptotic efficiency.
In summary, probit coefficients are estimated using the method of maximum likelihood, which provides the most accurate and efficient estimates for this type of model.
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evaluate each expression; 6t + 9 - 22; t = 60
Answers
We have the next expression
\(6t+9-22\)if t=60
Then we evaluate the expression with the value of t given
\(6(60)+9-22=347\)the result is 347
Please answer this fast thank uuu :)
Answers
Answer:
x + 37 = 90
Step-by-step explanation:
Since complementary angles add up to 90 degrees, we would need to add 37 and x to equal 90 degrees. Therefore, x + 37 equals 90 degrees. As for solving, subtract 37 from both sides and you are left with x = 53.
PLEASE HELP IM TIMED
Answers
Answer: The answer is D.
Step-by-step explanation: i did the test
A group of 13 friends were planning a trip. On the night before they left they made a lot of phone calls. Each friend talked to every friend at least once. What is the fewest phone calls that would have been made.
Answers
T/F : the pearson’s linear correlation coefficient measures the association between two continuous random variables. if its value is near ±1, the association is quasi perfectly linear.
Answers
True. The Pearson's linear correlation coefficient is a measure of the strength and direction of the linear relationship between two continuous random variables.
It ranges from -1 to 1, with values closer to -1 or 1 indicating a stronger linear correlation. If the value is near ±1, then the association between the variables is quasi perfectly linear. However, it is important to note that correlation does not imply causation and that other types of relationships between variables may exist beyond linear associations. In conclusion, the Pearson's linear correlation coefficient is a useful tool for assessing the strength and direction of linear relationships between continuous variables.
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Katherine paid $25.56 for12 gallons of gasoline. What is the price per gallon of gasoline? per gal
Answers
Answer:
$2.13
Step-by-step explanation:
If she paid $25.56 for a total number of 12 gallons, then you need to divide 25.56 by 12, and you will get 2.13. Meaning each gallon cost $2.13.
You can also check your answer by multiplying 2.13 by 12.
DD sold merchandise inventory for cash to customers for$45,000.DD had purchased the merchandise inventory sold for $30,000(#1)
Answers
DD earned a gross profit of $15,000 from the sale of the merchandise inventory.
DD sold merchandise inventory for cash to customers for $45,000. This means that DD received $45,000 in cash from its customers for the sale of its merchandise inventory.
DD had purchased the merchandise inventory sold for $30,000. This means that DD bought the merchandise inventory that it sold to its customers for $30,000.
The difference between the amount received from the sale of the merchandise inventory and the cost of the merchandise inventory is the gross profit. In this case, the gross profit is $45,000 - $30,000 = $15,000. This means that DD earned a gross profit of $15,000 from the sale of the merchandise inventory.
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HELP I NEED HELP ASAP
Answers
Answer:
C. strong negative
Step-by-step explanation:
The reason why is because, the student's grade is falling dramatically while they watch TV. So therefore, we can erase A and D. B maybe however, it isn't "weak" but it is a heavy decrease. Therefore, your answer would be C.
Which must be true in order for the relationship triangle ZYX sim triangle WVU to be correct? overline ZY || overline WV; angle Z cong angle Y and angle W cong angle V; overline ZY cong overline YX and overline WV cong overline VU; angle Z cong angle W and angle X cong angle U
Answers
Answer:
D edg 2021
Step-by-step explanation:
The statement that must be true for the triangles ZYX and WVU to be similar is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
What are Similar Triangles?Triangles that are similar have corresponding angles that are congruent and corresponding side lengths that are proportional.
If triangles ZYX nd WVU are similar, their angles will be congruent to each other and their corresponding sides will be proportional.
Therefore, the statement that must be true for the triangles ZYX and WVU to be similar is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
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HELPPPPPPPPPPPPPPPPPPPPPPP T^T PLEASE ANSWER!!!!
Answers
Answer:
7 miles per hour.
Step-by-step explanation:
Right now, the relationship in the problem represents 3\(\frac{1}{2}\) miles in hours. To find out what the unit rate is (number of miles per mile), we need to multiply both sides of the equation show BeLoW:
3\(\frac{1}{2}\) = \(\frac{1}{2}\)
7 miles = 1 hour
Therefore, Doug's average speed in miles per hour is 7 (7 miles per hour).
:3))
Which shows the greatest percent of change
Answers
A car travels a distance of 500 km in a time of 5 hours.
What is the car's average speed?
Answers
Answer:
100km/h
Step-by-step explanation:
The formula for speed is:
v = x / d = 500/5 = 100km/h