Show that the following probability density functions are members of the exponential class of densities: (a) Binomial
Question:
Show that the following probability density functions are members of the exponential class of densities:
(a) Binomial family, for a fixed value of \(n\).
(b) Poisson family.
(c) Negative binomial family for a fixed value of \(r\).
(d) Multinomial family, for a fixed value of \(n\).
(e) Beta family.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
Checking Membership in the Exponential Family A probability density function PDF belongs to the exponential family if it can be expressed in the follo...View the full answer
Answered By
Joseph Mwaura
I have been teaching college students in various subjects for 9 years now. Besides, I have been tutoring online with several tutoring companies from 2010 to date. The 9 years of experience as a tutor has enabled me to develop multiple tutoring skills and see thousands of students excel in their education and in life after school which gives me much pleasure. I have assisted students in essay writing and in doing academic research and this has helped me be well versed with the various writing styles such as APA, MLA, Chicago/ Turabian, Harvard. I am always ready to handle work at any hour and in any way as students specify. In my tutoring journey, excellence has always been my guiding standard.
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Mathematical Statistics For Economics And Business
ISBN: 9781461450221
2nd Edition
Authors: Ron C.Mittelhammer
Question Posted:
Students also viewed these Business questions
-
Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...
-
re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
1. An auditor selected a product maintained in the finished goods Warehouse. The auditor counted the product and compare this amount what the amount in the finished goods Perpetual inventory...
-
Could a matrix structure improve performance for an organization familiar to you?
-
The most recent financial statements for Cardinal, Inc., are shown here: Assets and costs are proportional to sales. Debt and equity are not. A dividend of $2,100 was paid, and the company wishes to...
-
Describe the working of a cone clutch. Why a cone clutch has become obsolete ?
-
Income statement information for 2011 for Pug Corporation and its 60 percent-owned subsidiary, Sev Corporation, is as follows: Intercompany sales for 2011 are upstream (from Sev to Pug) and total...
-
Toyota was the world's first automobile manufacturer to produce more than 10 million vehicles per year, which it has done since 2012, when it also reported the production of its 200-millionth...
-
For each PDF family below, show whether or not the family belongs to the exponential class of densities. (a) \(f(x ; \beta)=\beta x^{-(\beta+1)} I_{(1, \infty)}(x), \beta \in \Omega=(0, \infty)\)....
-
The daily price, \(p\), and quantity, demanded, \(q\), of gasoline on a European Wholesale spot market can be viewed (approximately) as the outcome of a bivariate normal random variable, where the...
-
Let and Use the matrix-column representation of the product to write each column of BA as a linear combination of the columns of B. -2 A = -3 2 0 -1 3 0 B = -1 6. 4.
-
Solve the following Volterra Integral Equations using 1. Laplace transform 2. Variational Iterationl Method a) Volterra integral equation with weakly singular kernel u(x)=x+1+ xt-1 u(t)dt the exact...
-
The table below gives the distances in kilometres between seven localities, A, B, C, D, E, F, G. Find a minimum weight spanning tree joining these localities and give its weight. A B C D EFG A B C D...
-
Alter Company Ltd. and Bounder Company Ltd. manufacture the same product, each under their own brand name. Alter Company Ltd.'s product represents 20% of the domestic market, and Bounder Company...
-
James Johnson is a sole practitioner. His office is about an hour's drive from the federal district's court at which he files many lawsuits. He used to talk on his cell phone to clients as he...
-
Annie was a cyber security expert and had her own consulting business. Super Nice Co was one of Annie's regular clients. Shortly after entering into a contract with Super Nice Co. to provide advice...
-
Is the role of the PMO in this case unusual?
-
In a paragraph of approximately 150-200 words, analyze a film or TV/Streaming Show poster of your choosing by focusing on the ways in which representations in the poster are gendered. Include an...
-
Apply the wheel of retailing theory to your local community. What changes seem likely? Will established retailers see the need for change, or will entirely new firms have to develop?
-
What advantages does a retail chain have over a retailer who operates with a single store? Does a small retailer have any advantages in competing against a chain? Explain your answer.
-
Many producers are now seeking new opportunities in international markets. Are the opportunities for international expansion equally good for retailers? Explain your answer.
-
Utility function is a helpful tool to represent preferences so we can analyze resource allocation using mathematical notations and generate predictions about how the most preferred, affordable...
-
What would be your chief concerns if you were a worker in a pure capitalist economy in which the government only provided the following public goods: the right of individuals to be legally free; the...
-
Discuss and evaluate Costco's mode of entry for the various markets in which it is operating. What ideal mode of entry would you recommend for new markets?
Study smarter with the SolutionInn App