Let Y be a Poisson random variable with mean . a. For a constant c > 0,
Question:
Let Y be a Poisson random variable with mean µ.
a. For a constant c > 0, show that
E[log(Y + c)] = log µ + (c – 1/2)/µ + O(µ–2)
(Note that log(Y + c) = log µ + log[1 + (Y + c – µ)/µ].)
b. Cell counts in a 2 × 2 table are independent Poisson random variables. Use part (a) to argue that to reduce bias in estimating the log odds ratio, a sensible estimator is the sample log odds ratio after adding 1/2 to each cell.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
a Use hint with the ex...View the full answer
Answered By
Ashington Waweru
I am a lecturer, research writer and also a qualified financial analyst and accountant. I am qualified and articulate in many disciplines including English, Accounting, Finance, Quantitative spreadsheet analysis, Economics, and Statistics. I am an expert with sixteen years of experience in online industry-related work. I have a master's in business administration and a bachelor’s degree in education, accounting, and economics options.
I am a writer and proofreading expert with sixteen years of experience in online writing, proofreading, and text editing. I have vast knowledge and experience in writing techniques and styles such as APA, ASA, MLA, Chicago, Turabian, IEEE, and many others.
I am also an online blogger and research writer with sixteen years of writing and proofreading articles and reports. I have written many scripts and articles for blogs, and I also specialize in search engine
I have sixteen years of experience in Excel data entry, Excel data analysis, R-studio quantitative analysis, SPSS quantitative analysis, research writing, and proofreading articles and reports. I will deliver the highest quality online and offline Excel, R, SPSS, and other spreadsheet solutions within your operational deadlines. I have also compiled many original Excel quantitative and text spreadsheets which solve client’s problems in my research writing career.
I have extensive enterprise resource planning accounting, financial modeling, financial reporting, and company analysis: customer relationship management, enterprise resource planning, financial accounting projects, and corporate finance.
I am articulate in psychology, engineering, nursing, counseling, project management, accounting, finance, quantitative spreadsheet analysis, statistical and economic analysis, among many other industry fields and academic disciplines. I work to solve problems and provide accurate and credible solutions and research reports in all industries in the global economy.
I have taught and conducted masters and Ph.D. thesis research for specialists in Quantitative finance, Financial Accounting, Actuarial science, Macroeconomics, Microeconomics, Risk Management, Managerial Economics, Engineering Economics, Financial economics, Taxation and many other disciplines including water engineering, psychology, e-commerce, mechanical engineering, leadership and many others.
I have developed many courses on online websites like Teachable and Thinkific. I also developed an accounting reporting automation software project for Utafiti sacco located at ILRI Uthiru Kenya when I was working there in year 2001.
I am a mature, self-motivated worker who delivers high-quality, on-time reports which solve client’s problems accurately.
I have written many academic and professional industry research papers and tutored many clients from college to university undergraduate, master's and Ph.D. students, and corporate professionals. I anticipate your hiring me.
I know I will deliver the highest quality work you will find anywhere to award me your project work. Please note that I am looking for a long-term work relationship with you. I look forward to you delivering the best service to you.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Let X be a Poisson random variable with l = 1 / 3. Find (a) P(X = 0) (b) P(X 4).
-
Let X be a Poisson random variable with parameter . What value of maximizes P{X = k}, k 0?
-
Let x be a Poisson random variable with mean = 2. Calculate these probabilities: a. P(x = 0) b. P(x = 1) c. P(x > 1) d. P(x = 5)
-
What types of costs are associated with a Stance" sock vending machine located in an airport? At Cleveland Hopkins International Airport in northeastern Ohio, a vending machine that dispenses socks...
-
The soles of a popular make of running shoe have a force constant of 2.0 105 N / m. Treat the soles as ideal springs for the following questions. (a) If a 62-kg person stands in a pair of these...
-
Keep in mind Table Q19.9 listing the effects of individual transactions on the balance of payments. Indicate the plus entry and the minus entry for the following transactions. For example, the...
-
Distinguish between accounting and bookkeeping - be brief and think in terms of, say, what the differences in training would need to be for employment in those professions.
-
Ralphs Bow Works (RBW) is planning to add a new line of bow ties that will require the acquisition of a new knitting and tying machine. The machine will cost $1,000,000. It is classified as a 7-year...
-
A 15kg block is attached to a spring of force constant 500 N/m and is resting on a frictionless horizontal table. Suddenly it is struck by a 3kg stone traveling horizontally at 8 m/s to the right,...
-
1. You push a heavy crate down a ramp at a constant velocity. Only four forces act on the crate. Which force does the greatest magnitude of work on the crate? (a) The force of friction. (b) The force...
-
Let p denote the sample proportion for n independent Bernoulli trials. Find the asymptotic distribution of the estimator [p(1 p)] 1/2 of the standard deviation. What happens when = 0.5?
-
Refer to Table 13.6. For those with race classified as other, the sample counts for (0, 1, 2, 3, 4, 5, 6) homicides were (55, 5, 1, 0, 1, 0, 0). Fit an appropriate model simultaneously to these data...
-
Use MuPAD to determine all the local minima and local maxima and all the inflection points where dy/dx = 0 of the following function: y = x - + 8x - 4 3
-
Fixed costs that make periodic "jumps" with incremental changes in volume are known as >>>> O Step Costs Committed Costs UnCommitted Costs Period Costs
-
Cost of Goods Sold Beginning Inventory Add: Purchases Less: Purchase Discounts Purchase Returns and Allowances Net Purchases Freight-in Cost of Goods Purchased Goods Available for Sale Less: Ending...
-
What is charity care in healthcare? Where is charity care disclosed for users of financial statements and what information is typically provided? Is it required? As part of your response, please...
-
The going concern concept assumes that a. The business can continue in operational existence for the foreseeablefuture. b. The business cannot continue in operational existence for the foreseeable...
-
Suppose that in a group of 50 math majors, 21 have taken Discrete Math, 41 have taken Linear Algebra, 32 have taken Statistics, 18 have taken Discrete Math and Linear Algebra, 15 have taken Discrete...
-
Peoria Corp. just completed another successful year, as indicated by the following income statement: For the Year Ended December 31, 2014 Sales revenue...
-
A seasonal index may be less than one, equal to one, or greater than one. Explain what each of these values would mean.
-
For the population of individuals who own an iPhone, suppose p = 0.25 is the proportion that has a given app. For a particular iPhone owner, let x = 1 if they have the app and x = 0 otherwise. For a...
-
The scores on the Psychomotor Development Index (PDI), a scale of infant development, have a normal population distribution with mean 100 and standard deviation 15. An infant is selected at random....
-
According to recent General Social Surveys, in the United States the population distribution for adults of X = number of sex partners in the past 12 months has a mean of about 1.0 and a standard...
-
Accounting for Fair Value Hedge: Interest Rate Swap On January 1 of Year 1, Innovative Lab issued a 4-year $50,000 note to a local bank with fixed interest payments based on 6%, payable annually on...
-
Part 4 Tennis company, a distributor of Tennis Rackets, has been experiencing losses for some time, as shown by its most recent monthly contribution format income statement below: Sales Variable...
-
[The following information applies to the questions displayed below.] Bunnell Corporation is a manufacturer that uses job-order costing. On January 1, the company's inventory balances were as...
Study smarter with the SolutionInn App