Question: When y 1 ,..., y N are independent from the negative binomial distribution (13.13) with k fixed, show that ? = y. k ( +

When y1,..., yNare independent from the negative binomial distribution (13.13) with k fixed, show that ?̂ = y̅.

k ( + k) (k)( + 1) etk k k p(y;k, )

k ( + k) (k)( + 1) etk k k p(y;k, ) 1 u + k %3D 0,1, 2, ....

Step by Step Solution

★★★★★

3.30 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The likelihood is proportional ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Categorical Data Analysis Questions!

Q:

Consider the observation X from the negative binomial distribution given in Section 5.5. Find the maximum likelihood estimator for p, given k known.

Q:

Find the moment-generating function of the negative binomial distribution by making use of the fact that if k independent random variables have geometric distributions with the same parameter , their...

Q:

The negative binomial distribution with parameters r and p, where r is known and p is unknown (0

Q:

=+15. Consider a sequence X1, X2,... of independent, integer-valued random variables with common logarithmic distribution Pr(Xi = k) = qk k ln(1 q) for k 1. Let N be a Poisson random variable with...

Q:

Let the interarrival times i have a geometric distribution; namely, P( i = m) = p(1 p) m1 for m = 1,2, ... and a parameter p (0,1). (a) Show that T n has a negative binomial distribution. With...

Q:

In Exercise 14 of Section 5.1 and in Exercise 12 of Section 5.4, you were asked to show that the probability function of both the binomial and the Poisson distribution satisfies the recursive formula...

Q:

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

Q:

PHEB 609: Categorical Data Analysis Homework 1 due 09/06/2017 by end of the day 1. In the following examples, identify the response variable and the explanatory variables. a. Attitude toward gun...

Q:

Solve the questions in the attachment. 1 Let X and Y have joint density function given by: f(x, y)=c(x+ 3y) 0 0.5). .2 The continuous random variables X, Y have the bivariate PDF: style f(x, y) =2...

Q:

A consulting company has recently implemented a mentorship program to reduce turnover intention of junior consultants. HR department surveyed 78 pairs of mentors and mentees. In the mentor survey, HR...

Q:

Suppose the objective of the Fed is to increase Real GDP. To this end, it increases the money supply. Can anything offset the increase in the money supply so that Real GDP does not rise? Explain your...

Q:

1. Some personal aspects of personal finance that require knowledge of taxation include retirement planning, choosing investments, renting or buying a home. Before investing you need to determine if...

Q:

WFO Corporation has gross receipts according to the following schedule: Year 1 $ 2 0 . 0 0 millionYear 2 $ 2 3 . 0 0 millionYear 3 $ 2 9 . 0 0 millionYear 4 $ 3 0 . 5 0 millionYear 5 $ 3 1 . 0 0...

Q:

1. Tolmans approach is known as behaviorism because it utilizes mentalistic concepts, such as expectations, to explain behavior. This approach is also sometimes called p behaviorism.

Q:

Californias governor election in 2010 had two major candidates, Brown and Whitman. a. For a random sample of 650 voters in one exit poll, 360 voted for Brown and 240 for Whitman. Conduct all five...

Q:

When the 2000 General Social Survey asked, Would you be willing to pay much higher taxes in order to protect the environment? (Variable GRNTAXES), 369 people answered yes and 483 answered no. (We...

Q:

A Pew Research Center poll in 2010 asked a random sample of 2505 adults about their attitudes and opinions concerning the U.S. government (www.people-press.org). When asked whether they felt content,...

Q:

d. will on of scores. 2.10 PA/CJ As part of an evaluation of the efficiency of your local police force, you have gathered the fol. lowing data on police response time to calls for as sistance during...

Q:

The Torrey Pine Corporation's purchases from suppliers in a quarter are equal to 70 percent of the next quarter's forecast sales. The payables period is 60 days. Wages, taxes, and other expenses are...

Q:

16. If a real estate company fails to accrue commission revenue, (5 Points) a. liabilities are overstated, and owners' equity is understated. O b. assets are understated, and net income is...