Let X Beta(a, 1). Show that Y = 1/X has a Pareto distribution.
Question:
Let X ∼ Beta(a, 1). Show that Y = 1/X has a Pareto distribution.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 73% (15 reviews)
Since 0 x 1 1 y The cdf of Y is F Y ...View the full answer
Answered By
Deepak Pal
Hi there! Are you looking for a committed, reliable, and enthusiastic tutor? Well, teaching and learning are more of a second nature to me, having been raised by parents who are both teachers. I have done plenty of studying and lots of learning on many exciting and challenging topics. All these experiences have influenced my decision to take on the teaching role in various capacities. As a tutor, I am looking forward to getting to understand your needs and helping you achieve your academic goals. I'm highly flexible and contactable. I am available to work on short notice since I only prefer to work with very small and select groups of students. Areas of interest: Business, accounting, Project management, sociology, technology, computers, English, linguistics, media, philosophy, political science, statistics, data science, Excel, psychology, art, history, health education, gender studies, cultural studies, ethics, religion. I am also decent with math(s) & Programming. If you have a project you think I can take on, please feel welcome to invite me, and I'm going to check it out!
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Let X and Y be jointly distributed random variables. This exercise leads you through a proof of the fact that 1 X,Y 1. a. Express the quantity V(X (X/Y) Y) in terms of X, Y, and Cov(X, Y ). b. Use...
-
Let X and Y be independent random variables with X ~ gamma(r, 1) and Y ~ gamma(s, 1). Show that Z1 = X + Y and Z2 = X/(X + Y) are independent, and find the distribution of each. (Z1 is gamma and Z2...
-
Let X and Y be independent n(0,1) random variables, and define a new random variable Z by (a) Show that Z has a normal distribution. (b) Show that the joint distribution of Z and Y is not bivariate...
-
What is the smallest (most negative) 32-bit binary number that can be represented with (a) Unsigned numbers? (b) Twos complement numbers? (c) Sign/magnitude numbers?
-
The 31H isotope of hydrogen, which is called tritium (because it contains three nucleons), has a half-life of 12.3 yr. It can be used to measure the age of objects up to about 100 yr. It is produced...
-
Stebbins Corporation established a wholly owned Canadian subsidiary on January 1, Year 1, by contributing US$500,000 for all of the subsidiary's common stock. The exchange rate on that date was...
-
What pressure, \(p_{1}\), is needed to produce a flowrate of 0.09 \(\mathrm{ft}^{3} / \mathrm{s}\) from the tank shown in Fig. P3.92? Figure P3.92 Air P1 T Gasoline 2.0 ft Salt water SG = 1.1 0.06-ft...
-
Matt Peters wishes to evaluate the risk and return behaviors associated with various combinations of assets V and W under three assumed degrees of correlation: perfect positive, uncorrelated, and...
-
Teamwork has become a necessity within business today. Leading effective and productive teams is a vital leadership skill for you to develop. Consider an effective team you have observed or...
-
For each pair of atomic sentences, give the most general unifier if it exists: a. P(A, B, B), P(x, y, z). b. Q(y, G (A, B)), Q (G(x, x), y) c. Older (Father (y), y), Older (Father(x), John). d. Knows...
-
The following table presents summarized financial statements for Whiskey Golf Ltd., in $000s. In addition, you also know that the company declared and paid $80,000 of dividends on preferred shares in...
-
Let X Pareto(m, a). (a) For what values of a does the mean exist? For such a, find E[X]. (b) For what values of a does the variance exist? For such a, find V[X].
-
Find two linearly independent Frobenius series solutions (for x > 0) of each of the differential equations in Problems 17 through 26. 2x 2 y" + xy' - (3 - 2x 2 ) y = 0
-
3. You believe arbitrage price theory is a model for equity market returns. Your friend tells you she has found an investment manager who has consistently produced Jensen's alpha over the past ten...
-
Suppose that f(x) = 4.6x +6.1x - 7. Evaluate each of the following: ' (6) = '(-6) =
-
Rehan can pay 774 OMR as a monthly instalment to the bank for a housing loan, if the banks rate of interest on housing loan in Oman is 4.5 per cent, then what is the amount of housing loan Rehab can...
-
2. A 2.0-kg rock that is initially at rest loses 407 J of potential energy while falling to the ground. Calculate the kinetic energy that the rock gains while falling. What is the rock's speed just...
-
A large manufacture company is considering the purchase of a $300,000 inventory management system. The system will be depreciated straight-line to zero over its 5- year life. It will be worth $40,000...
-
Compare and contrast the if single-selection statement and the while iteration statement. How are these two statements similar? How are they different?
-
Which one of the following anhydrous chloride is not obtained on direct heating of its hydrated chloride? (A) BaCl2 (B) CaClz (C) MgCl2 (D) SrCl2
-
Answer Problem 5.6 for boys in this age range and economic environment? Suppose boys in this age range who live below the poverty level have a mean carbohydrate intake of 121 g/1000 cal with a...
-
Answer Problem 5.7 for boys in this age range and economic environment? Suppose boys in this age range who live below the poverty level have a mean carbohydrate intake of 121 g/1000 cal with a...
-
If we assume that the distribution of is normally distributed, then what % of (observer, trainer) pairs have a mean difference of 2 mm Hg in absolute value (i.e., either 2 mm Hg or 2 mm Hg)?...
-
So I'm new to arduino, and I am working on a project for school and I was wondering if I am correct in my wiring and coding. The premise of the project is an automatic pet feeder. Basically, a pet...
-
Image transcription text Wind tunnel measurements of the pressure and skin friction around a NACA 2415 airfoil at 8 degrees angle of attack resulted in the following data of pressure and skin...
-
Image transcription text The following table contains load-extension data from a tensile test on a cylindrical specimen with gauge length 9mm and gauge diameter 5mm. Load-extension Data Load [KN] 0...
Study smarter with the SolutionInn App