Random variable having the gamma distribution

Reference no: EM131851829

Let X be a random variable having the gamma distribution Γ(α, γ) with a known α and an unknown γ > 0 and let Y = σ log X.

(a) Show that if σ > 0 is unknown, then the distribution of Y is in a location-scale family.

(b) Show that if σ > 0 is known, then the distribution of Y is in an exponential family.

Reference no: EM131851829

Questions Cloud

How do they partake of the other kinds of rhetoric : what are the similarities and differences between the advertisement and the speeches as instances of epideictic rhetoric? How do they partake of the other kinds

What is the value of an investment : What is the value of an investment that pays $17,000 every other year forever,

Distribution of a positive random variable : Show that if the distribution of a positive random variable X is in a scale family, then the distribution of log X is in a location family.

Explore two e-commerce web sites : Explore two e-commerce Web sites that you consider to be effective. Which elements, if any, do the two sites have in common?

Random variable having the gamma distribution : Let X be a random variable having the gamma distribution G(a, ?) with a known a and an unknown ? > 0 and let Y = s log X.

Determining the sufficient statistic : Show that if T is a sufficient statistic and T = ?(S), where ? is measurable and S is another statistic, then S is sufficient.

Develop a baseline for your project plan : Allocation of resources to project tasks (both labor and material), shown as resource assignments in the Microsoft Project file.

Describe the company liquidity and quality : Based on the following financial information, which best describes the company's liquidity and quality of its current assets over the past three years?

Determine five of the controllers monitored variables : Determine five (5) of the controller's monitored and controlled variables. Describe each variable and explain how it is used in the system.

Reviews

Write a Review

Required(*) Message

Basic Statistics Questions & Answers

Statistics-probability assignment

MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..

What is the least number

MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?

Determine the value of k

MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form

What is the probability

MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?

Binomial distributions

MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.

Caselet on mcdonald’s vs. burger king - waiting time

Caselet on McDonald’s vs. Burger King - Waiting time

Generate descriptive statistics

Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.

Sampling variability and standard error

Problems on Sampling Variability and Standard Error and Confidence Intervals

Estimate the population mean

Conduct a marketing experiment

Conduct a marketing experiment in which students are to taste one of two different brands of soft drink

Find out the probability

Linear programming models

LINEAR PROGRAMMING MODELS

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

User Account

All Pages