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Suppose y„ is a random sample from a distribution for which we only know the firs two moments E(y) = m and Var(y) = m(1 -F mc). (i) Find the quasi-likelihood Q(y,m)for m given c. Obtain the ma,mum quasi-likelihood estimate of m. Hems using Pearson Statistic obtain an estimate of c. Find a method of moment estimate of .

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(a) The probability function of discrete random variable y This distribution, denoted by NB(m,), caned a negative binomial distribution with mean m and dispersion parameter c. (b) Suppose a,, • • • , — tae(,,, ) Show how You would nod maximum likelihood estimates a m. and c. Do you get explicit solution for any […]

Find the observed and expected information matrix for 0 and hence show how to obtain the MI. for 8.

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a. Let be independent poison random variables with means p. Show that = log,p, is the natural parameter of the poison distribution- (a) Show that T = X’Y is a vector of sal..m statistic for 0. (13) Find the score vector for /3. (c) Find the observed and expected poison distributionfor 0 and hence show […]

Show that the conditional distribution of belongs to the .potential family of dis,distributions. Find the canonical parameter. Hence find the mean and the ValiSaCe of y1.

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Generalized linear models a) Let Y b bit y ma® unction 1(.6)=vV),0—OK where r is known. Show that the distribution belongs to the exponential family and hence find the mean sad VBSIBBOP of y. b) Cns.’ r a 2 x 2 contingency table with one margin fixed at n, and n, binomial(n, ) (1 — […]

What sample size would be required to detect a true mean of 3.5 if we wanted the power to be at least 0.95?What is the power of the test if μ= 3.15?

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Homework #10 Problems Chapter 9 Problems: 9.2: 3, 6, 7; 9.3: 1, 3, 4, 6; 9.4: 2, 5; 9.5: 3 9.2.3) Output from a software package follows One-Sample Z: Test of μ = 35 versus μ > 35 Assumed standard deviation is 1.7 Variable n Sample Mean Sample Std. Deviation Std Error (SE) of Mean […]

Calculate the mean and variance of S(t) and of U(t), where (S(r)),>0 and (U(r)),>0 are the aggregate claim process and the surplus process of the described model.

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An insurance company has an initial surplus of 100 and premium loading factor of 20%. Assume that claims arrive according to a Poisson process with parameter A = 5 and the size of claims Xi are iid random variables with Xi ,-,, exp( 1-0). The time unit is 1 week. Assume that 1 month is […]

Develop tables for each of the statistical test in your study.Apply Linear regression, correlation, descriptive statistics and hypothesis testing to your primary data.

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1. Develop tables for each of the statistical test in your study. 2. Apply Linear regression, correlation, descriptive statistics and hypothesis testing to your primary data. 3. Each table must be labeled with a review of the results underneath the table. 4. strongly suggest that students assign a test to each member of the group […]

Draw the residual plots against each significant predictor, and output variable. Interpret the results of the plots.

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• Submit your codes and outputs in a readable format (Word, HTML, Text, or PDF file) for full credits! Part1-Python Programming Multiple Linear Regression Analysis 1) Download the file ‘bmi’ in the homework folder of the Course Blackboard Read in the file and display the first 5 observations 2) Draw the histograms and pairwise scatter […]

What are the parameters of interest?What is the formula for the test statistic, and the distribution for the test statistic? Be sure to include the degrees of freedom.

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Lab Instructions: In this lab, we will begin to develop the concepts found on testing for independence in chapter 6, section 4.  be sure to: Follow all instructions. Answer each question completely. Include JMP output to help demonstrate and support your answers. Submission Instructions: You will be submitting your lab in Gradescope. Save the file […]

Enter the data to Minitab and analyze the data and make conclusions. Be careful- this is a single replicate, so you need to do some extra steps to create an ANOVA table. If your aim was to find the best combination of factor levels that maximize your response, what would they be?

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ISE 135 In-class exercise (Groups of max. 3 students) Fractional Factorial Design You need to answer the following questions and submit a word document to CANVAS with your answers Consider a 25-1 design below. Note that Basic design is already created using 24 runs. Create the 5th column What would be the defining relationship and […]

Write a 25- to 50-word explanation of whether you think this is the correct plan for each component. Explain your rationale.

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Based on the former employee’s e-mail showing their attempt at analyzing the results of the desirability survey, complete the table below in complete sentences and according to the following guidelines: Column 1 provides the review item for each component of the employee’s plan. In Column 2, write a 25- to 50-word explanation of the employee’s […]

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