Prove the statement Statement: The sum of n independent Gamma variates is alsoa Gamma variate.i.e., If x,,X,., X, are n independent Gamma variates withparameters 2,2,;.., respectively then (x, +X, +. +X,) isalso a Gamma variate with parameter (2, +z +......+ 2, ) .....

Answered: Image /qna-images/answer/d8d9d80c-d909-4200-b99e-65e4afc30bfa.jpg

Answered: Statement: The sum of n independent…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

(26) Let X b(8,- Var-x) and distribution function.
(26) Let X b (8,-) find Var-x) and distribution function.
Varza) (16) Let X =U(3) find x) and distribution function.
A function has a graph which passes through the point (2,3) and its graph also has the property that the normal line to each point (x,y) on the graph passes through the point (2,0). Find the function?
Let f(r) 3" and g(r) 1. . and evaluate the following: 3. g(- 3 g(- 1)= 5. f(- 2): 6. f( – 3) = 3%3= 7. f(2) + g( – 2) = 8. f(2)-g(-2) = Submit
For a given set of bivariate data, the following result n²100, EX= 5000; EY : 10000; EX2 - 26000; =1010000 and EXY =516000. Ci) Find the predicted value of Y when x = 60. (i) what is the predicted value of the x when Y = 80 (1) Calcutule mie coefficint of Correlation between & and Y. 2ملاع
If two variables are related so that increasing values of one variable are associated with decreasing values of other, then there is a what relationship between the varialves?
3. For each sample of a continuous variable, i. (1) 3, 5, 5, 5, 8, 11, 11, 11, 13 (2) 3, 5, 5, 5, 8, 11, 11, 11, 20 iii. (1) 0, 2, 4, 6, 8, 10 (2) 20, 22, 24, 26, 28, 30 ii. (1) -20, 0, 0, 0, 15, 25, 30, 30 (2) -40, 0, 0, 0, 15, 25, 30, 30 iv. (1) 100, 200, 300, 400, 500 (2) 0, 50, 300, 550, 600 a. First compare distributions (1) and (2) based on their means and standard deviations without calculating these statistics. Make sure to explain your reasoning. b. Then calculate the statistics. c. Is it possible to determine the statistics in (2) based on the result in (1) using a linear transformation? d. For part iv., determine the z-score of 150. Interpret and compare the values for (1) and (2).
iris is a built-in R data set (data frame). This data set contains gives the measurements in centimeters of the variables sepal length and width and petal length and width, respectively, for 50 flowers from each of 3 species of iris. The species are Iris setosa, versicolor, and virginica. We are interested in some descriptive statistics related to the Sepal.Width column of the data frame. We can access the data directly by using the assignment x <- iris$Sepal.Width (In R use ?iris for info on this dataset.)Remember: x <- iris$Sepal.Widtha.Calculate the sample median of x. b. Using the R quantile function, find the .80 quantile of x.(80th percentile) c. Calculate the interquartile range of x using R. d. Calculate the sample mean of x. e. Calculate a 4% trimmed mean for x. f. Calculate the sample variance of x. g. Calculate the sample standard deviation of x. h. What proportion of the x values are within 2.0 sample standard deviations from the sample mean i. Calculate the minimum…
Let X,,X,.,X, follows i.i.d. exponential distribution with mean 10, then find the distribution of X, +X, +...+ X10 - a) X,+ X, +...+X ~ Gamma(10,10) X,+ X, +...+ X10 ~ Exp(10) X,+ X, +...+ X10 ~ N(0,10) b) c) d) х, + X, +...+ Х, ~Gamma (10,1/10)
(9-20, +Q,) (Q,-9) (c) One measure of skewness of a distribution is defined by q= where Q „, and Q, are the quartiles of the distribution. Show that for a symmetric distribution, q =0.
Show works! Let Xn be a random variable and mn be a median of Xn, n =1,2,.... Show that if Xn →d X for a random variable X,thenany limit point of mn is a median of X.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

Statement: The sum of n independent Gammä variates is also a Gamma variate. i.e., If x„X,....., X, are n independent Gamma variates with parameters a,, 2;.,.a, respectively then (x, +X, +. +X,) is also a Gamma variate with parameter (2, +1, +...+ ,). .... ......