7.4.4 Consider the probability density function f(x) = c(1 +0x), -1≤x≤1 a. Find the value of the constant c. b. What is the moment estimator for 0? c. Show that = 3X is an unbiased estimator for O. d. Find the maximum likelihood estimator for 0. 7.4.5 Consider the Weibull distribution B-1 e-(§)³, 0 < x f(x) = = 66 0, otherwise a. Find the likelihood function based on a random sample of size n. Find the log likelihood. b. Show that the log likelihood is maximized by solving the following equations Σx 1n(x) i=1 n Σ i=1 n Σ In(x;) i=1 n со δ || n 1/B Σ Ᏸ i=1 n کہ c. What complications are involved in solving the two equations in part (b)?

7.4.4 Consider the probability density function f(x) = c(1 +0x), -1≤x≤1 a. Find the value of the constant c. b. What is the moment estimator for 0? c. Show that = 3X is an unbiased estimator for O. d. Find the maximum likelihood estimator for 0. 7.4.5 Consider the Weibull distribution B-1 e-(§)³, 0 < x f(x) = = 66 0, otherwise a. Find the likelihood function based on a random sample of size n. Find the log likelihood. b. Show that the log likelihood is maximized by solving the following equations Σx 1n(x) i=1 n Σ i=1 n Σ In(x;) i=1 n со δ || n 1/B Σ Ᏸ i=1 n کہ c. What complications are involved in solving the two equations in part (b)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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