Differentiate the gamma moment-generating function to verify the formulas for E(Y) and Var(Y) given in Theorem 4.6.3.
Question:
Differentiate the gamma moment-generating function to verify the formulas for E(Y) and Var(Y) given in Theorem 4.6.3.
Transcribed Image Text:
Var(Y) = E(Y2)-[E(Y)12 r (r + 1)/2--(r/A)2 ーr
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
Write the gam...View the full answer
Answered By
Mugdha Sisodiya
My self Mugdha Sisodiya from Chhattisgarh India. I have completed my Bachelors degree in 2015 and My Master in Commerce degree in 2016. I am having expertise in Management, Cost and Finance Accounts. Further I have completed my Chartered Accountant and working as a Professional.
Since 2012 I am providing home tutions.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Introduction To Mathematical Statistics And Its Applications
ISBN: 9780321693945
5th Edition
Authors: Richard J. Larsen, Morris L. Marx
Question Posted:
Students also viewed these Statistics questions
-
The positive random variable X is said to be a lognormal random variable with parameters and 2 if log(X) is a normal random variable with mean and variance 2. Use the normal moment generating...
-
A Gaussian mixture is a random variable whose PDF is a linear combination of two Gaussian PDFs, (a) Find the moment- generating function, MX (u) , of the Gaussian mixture. (b) Use the moment-...
-
A random variable has a moment- generating function given by (a) Find the PDF of the random variable. (b) Use the moment- generating function to find an expression for the k th moment of the random...
-
The annual growth rate in EPS is 3%. The P/E ratio is 12x. EPS last year was $1.00. Calculate What should the stock price be in 4 years?
-
The following data represent the Diagnosis of a random sample of 20 patients admitted to a hospital. Determine the mode diagnosis. Motor vehicle accident Fall Motor vehicle accident Motor vehicle...
-
The bank portion of the bank reconciliation for Backhaus Company at November 30, 2008, was as follows. The adjusted cash balance per bank agreed with the cash balance per books at November 30. The...
-
Describe the main source of short-term finance for a company.
-
Morningstar publishes ratings data on 1208 company stocks (Morningstar website, October 24, 2012). A sample of 40 of these stocks is contained in the data set Morningstar. Use the data set to answer...
-
On July 3 1 , 2 0 1 8 , the general ledger of Hills Legal Services Inc. showed these balances: Cash $ 4 , 0 0 0 ; Accounts Receivable $ 1 , 5 0 0 ; Supplies $ 5 0 0 ; Equipment $ 5 , 0 0 0 ; Accounts...
-
The trial balance of Sussex Inc. as at December 31, Year 6, is as follows: Cash Accounts receivable Allowance for doubtful accounts Inventory Property, plant, and equipment Accumulated depreciation...
-
If the random variable Y has the gamma pdf with integer parameter r and arbitrary > 0, show that E(Y m ) = (m + r 1)!/(r 1)! m
-
A random sample of size 8 X 1 = 1, X 2 = 0, X 3 = 1, X 4 = 1, X 5 = 0, X 6 = 1, X 7 = 1, and X 8 = 0 is taken from the probability function p X (k; ) = k (1 ) 1k , k = 0, 1; 0 < < 1. Find the...
-
In Exercises solve the differential equation. y': = 1 X- x4x - 9
-
On what criteria should auditors select the source code to be examined during program source code review?
-
Briefly explain how code review can be used to identify ineffective code and nonstandard code in a program.
-
Briefly outline the findings of the limited empirical research that has been undertaken on where errors occur in programs. What implications do these findings have for auditors' use of various audit...
-
Briefly explain the nature of the code review, test data, and code comparison evidence-collection techniques. Explain how they can be used as an interrelated set of techniques to examine the quality...
-
Briefly explain the purpose of auditors first reviewing input/output instructions when undertaking code review of a program.
-
Shareholders Collective, a proxy advisory firm, approaches your company to discuss executive compensation. Garry Good, the Shareholders Collective associate assigned to your company, announces that...
-
Data on weekday exercise time for 20 females, consistent with summary quantities given in the paper An Ecological Momentary Assessment of the Physical Activity and Sedentary Behaviour Patterns of...
-
Classify costs as fixed or variable (Learning Objective 7) Classify each of the following costs as fixed or variable: a. Thread used by a garment manufacturer b. Property tax on a manufacturing...
-
Show that if G is a directed graph and T is a spanning tree constructed using depth-first search, then every edge not in the spanning tree is a forward edge connecting an ancestor to a descendant, a...
-
Find the distance between each pair of spanning trees shown in Figures 3(c) and 4 of the graph G shown in Figure 2.
-
Suppose that T1 and T2 are spanning trees of a simple graph G. Moreover, suppose that e1 is an edge in T1 that is not in T2. Show that there is an edge e2 in T2 that is not in T1 such that T1 remains...
-
2 Please please solve these questions as soon as possible. I need correct answers. Please answer in typing. And don't answer too long. Just make sure you are mentioning everything important. I...
-
Isabella was recruited to serve as the Chief Financial Officer (CFO) of Eta Corporation, a privately-owned company in the healthcare industry, effective March 1, 2022. Throughout the fiscal year...
-
HP Inc. is manufacturing customized laptops. The company incurred direct materials costs of $3,000,000 and direct labor costs of $2,000,000 for a specific laptop order. The predetermined overhead...
Study smarter with the SolutionInn App