Computed sample data set, From this data set, obtain the

Computed sample data set

Assignment Help Basic Statistics

Reference no: EM131001538

If X1 is a lognormal random variable with parameters (α, β1 ), and X2 is a lognormal random variable with parameters (α, β2 ), it has been postulated that the product:

Y = X1 X2

has a lognormal distribution with parameters (α, βy ) where:

βy = β1 + β2

(i) Con?rm this result theoretically. (Hint : use results from Chapter 6 regarding the sum of Gaussian random variables.)

(ii) In the data table below, X1 is a random sample drawn from a distribution pur- ported to be L(0.25, 0.50); and X2 is a random sample drawn from a distribution purported to be L(0.25, 0.25).

X1 1.16741	X2 1.61889
1.58631	1.15897
2.00530	1.17163
1.67186	1.09065
1.63146	1.27686
1.61738	0.91838
0.74154	1.45123
2.96673	1.47800
1.50267	2.16068
1.99272	1.46116

From this data set, obtain the corresponding values for Y de?ned as the product Y = X1 X2 . According to the result stated and proved in (i), what is the theoretical distribution of Y? Con?rm that the computed sample data set for Y agrees with this postulate.

Reference no: EM131001538

Questions Cloud

How would accounts receivable be shown in the 2011 : Prepare journal entries to record the write-off of receivables, the collection of $1,200 for previously written off receivables, and the year-end adjusting entry for bad debt expense.

Compute the probability : The hazard rate of the failure time is a constant 0.10 and the force of interest is a constant 0.05. If Z is the present value of the benefits, find the probability that: (a) 0 Z ≤ 0.5, (b) 0 ≤ Z ≤ 0.5 and (c) 0 ≤ Z ≤ 0.7.

What is the power emitted by this source in watts : A certain sound has an intensity of 8.474275 x 10-4 W/m2 2.33 m from its source. What is the power emitted by this source in watts? Express your result to three significant digits and in scientific notation.

Imagine you are a state police officer in your home state : Determine how and in what situations you would refer to the DHS and other law enforcement and intelligence agencies. Support your explanation.

Computed sample data set : From this data set, obtain the corresponding values for Y de?ned as the product Y = X1 X2 . According to the result stated and proved in (i), what is the theoretical distribution of Y? Con?rm that the computed sample data set for Y agrees with this p..

Identify the selected health care service provider : Include the following in your paper: Identify the selected health care service provider. Identify two services and products they provide to help with quality of care

A popular movie representing cultural variation : Find a clip in a popular movie representing cultural variation in parenting practices. Write a short essay about the clip you found, and how it illustrates one or more of the following: Authority roles; communication; rules for the display of emotio..

If the company uses the direct write off method : If the company uses the direct write-off method, what would bad debt expense be for 2011?

Find the speed of the millennium eagle at point a : As part of a daring rescue attempt, the Millennium Eagle coasts between a pair of twin asteroids, as shown in the figure below where d1 = 3.05 km and d2 = 1.53 km. The mass of the spaceship is 2.51 x107 kg and the mass of each asteroid is3.60 x 10..

User Account

All Pages