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?
-
Nobel Prize-winning economist Kenneth Arrow of Stanford University once wrote that the argument that the outcomes in a market system "may be very different from, and even opposed to, intentions is...
-
\(\left(\frac{7 r^{9}}{a^{4}} ight)^{12}\) Simplify the expression.
-
Quay Co. had the following transactions during the current period. Mar. 2 Issued 5,000 shares of $5 par value common stock to attorneys in payment of a bill for $30,000 for services performed in...
-
Company X paid $2 ordinary share dividends last year. The company policy is to allow its dividend to grow at 5% for 4 years and then the rate of growth changes to 3 % per year from year 5 and on....
-
A disabled automobile is pulled by means of ropes subjected to the two forces as shown. Determine graphically the magnitude and direction of their resultant using (a) The parallelogram law, (b) The...
-
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.
-
Explain how the output from infinite loading is used.
-
Discuss how your approach to leading a domestic multicultural team or international team is shaped based on the theories you have learned in this unit. Your essay must be a minimum of two pages in...
-
Students are asked to assume that during an advanced degree program, they thoroughly studied and reviewed the most popular personality tests used by companies as selection techniques. Students are...
-
A new binder will cost SlamCo $17,000, generate net savings of $3,000 per year over a seven year life, and be salvaged for $1000. SlamCo's before tax MARR is 10 per cent, it is taxed at 40 per cent,...
-
Creating Value through Human Resources & Making Human Resource Management Strategic What are some external opportunities and threats that you think organizations will face in the next 10 years? What...
-
How i can use algorithms in our daily life?
-
Bradford Company's accounting records on December 31, 2013, provide the following information (prior to adjustment): Required: 1. Prepare the journal entries to record the estimate of Bradford's bad...
-
A 2500-lbm car moving at 15 mi/h is accelerated at a constant rate of 15 ft/s 2 up to a speed of 50 mi/h. Calculate force and total time required?
-
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...
-
Meyer & Smith is a full-service technology company. They provide equipment, installation services as well as training. Customers can purchase any product or service separately or as a bundled...
-
Materials are entered at the beginning of the process. Conversion costs are incurred uniformly throughout the process. (a) Determine the equivalent units of production for (1) materials and (2)...
-
CoolSystems manufactures an optical switch that it uses in its final product. CoolSystems incured the following manufacturing costs when it produced 65,000 units last year (Click the icon to view the...
Study smarter with the SolutionInn App