For known k, show that the negative binomial distribution (4.12) has exponential family form (4.1) with natural
Question:
For known k, show that the negative binomial distribution (4.12) has exponential family form (4.1) with natural parameter log[µ/(µ + k)].
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
The negative binomial distribution is defined as the probability mass functi...View the full answer
Answered By
Ernie Moises Evora
I have worked as a teacher, a tutor and instructor.
I have also worked as a community leader in my community.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The negative binomial distribution with parameters r and p, where r is known and p is unknown (0 < p < 1);
-
Show that the negative of z = r (cos + i sin ) is - z = r [cos ( + ) + i sin ( + )].
-
The negative binomial distribution is sometimes defined in a different way as the distribution of the number of failures that precede the kth success. If the kth success occurs on the xth trial, it...
-
WSU Small Business Booster Every year, Robin identifies a small business to invest her money in because she wants to support companies that WSU students have started. Robin named the program WSU...
-
What is the difference between small businesses and high-growth ventures?
-
Draw a triangle that would be used together with the substitution x = 3 sec .
-
5. The December 31, 2016, balance sheet of the Ben, Car, and Das partnership is summarized as follows: Cash $100,000 Car loan $100,000 Other assets, at cost 500,000 Ben capital 100,000 Car capital...
-
Rhonda Heninger is a well-known software engineer. Her specialty is writing software code used in maintaining the security of credit card information. Heninger is approached by the Electronic...
-
Which of the following would not be considered a present obligation? An amount owing for goods purchased on credit last month, but not due until 30-days' time Costs to repair or replace faulty goods...
-
1. Describe Abou Shakra in terms of the value it provides for customers. 2. Do you think Abou Shakra should develop a high-growth strategy? Why or why not? 3. Should Abou Shakra spend more on...
-
Show that the sample value of the uncertainty coefficient (2.13) satisfies U = G 2 / 2n(p +j ). [Haberman (1982) gave its standard error.]
-
Show representation (4.18) for the binomial distribution.
-
Give the numerical coefficient and the degree of each term. -z 2
-
Use Table 19-4 to calculate the building, contents, and total property insurance premiums for the policy (in $). Area Structural Rating Class Building Value 4 B $86,000 $ Building Premium Contents...
-
What are some reasons why leadership theory has evolved? Which theory of leadership is most applicable to today's organizations? Identify a leader that you admire and answer the following: What makes...
-
Identifying one major OSHA standard and one EPA law that are important to aviation and discussing how each has improved aviation safety
-
What is network optimization and what are some of the best practices that are used in the industry to optimize networks? Also, why is network documentation important and what are the security...
-
Demonstrate your understanding of data types by examining a public dataset and identifying the NOIR analytical data types of each of the data field (variables). This skill will be used frequently in...
-
In problem, convert each angle in degrees to radians. Express your answer as a multiple of . 240
-
The power company must generate 100 kW in order to supply an industrial load with 94 kW through a transmission line with 0.09 resistance. If the load power factor is 0.83 lagging, find the...
-
Consider Example 13 about the power of the test of H 0 : p = 0.1 against H a : p > 0.1 used to test the effectiveness of a manual therapy in opening blocked tubes, where p is the probability of at...
-
For testing H 0 : p = 1/3 (astrologers randomly guessing) against H a : p > 1/3 with n = 116, Example 12 showed that P(Type II error) = 0.02 when p = 0.50. Now suppose that p = 0.35. Recall that...
-
A marketing study conducts 60 significance tests about means and proportions for several groups. Of them, 3 tests are statistically significant at the 0.05 level. The studys final report stresses...
-
In 2019, Sunland Company had a break-even point of $388,000 based on a selling price of $5 per unit and fixed costs of $155,200. In 2020, the selling price and the variable costs per unit did not...
-
11. String Conversion Given a binary string consisting of characters '0's and '1', the following operation can be performed it: Choose two adjacent characters, and replace both the characters with...
-
Consider the table shown below to answer the question posed in part a. Parts b and c are independent of the given table. Callaway Golf (ELY) Alaska Air Group (ALK) Yum! Brands (YUM) Caterpillar...
Study smarter with the SolutionInn App