Let X₁, X₂, ...,2, ..., Xn be a random sample of size n from population X. Suppose that X has thefollowing probability mass function:f(x; 0) = (0 (1 - 0)x-1,(0,i) Find the conditional distribution of the likelihood function given the function of the statistic,nÔ = ₁X₁. Hint: Apply f(L(0)|g(,0)).ii) Based on i) above, is =iii) Show whether or not >, is a consistent estimator of the parameter 1.x = 1,2,3,...elsewhere₁X₁ a sufficient statistic? Justify your answer.=1

Answered: Image /qna-images/answer/5756e6b8-ec5f-47cb-87c2-0c390ed04b9e.jpg

Answered: i) Find the conditional distribution of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133133 to 190190 cm and weights of 3737 to 150150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x overbarxequals=168.08168.08 cm, y overbaryequals=81.5781.57 kg, requals=0.3130.313, P-valueequals=0.0020.002, and ModifyingAbove y with caretyequals=negative 108−108plus+1.121.12x. Find the best predicted value of ModifyingAbove y with carety (weight) given an adult male who is 169169 cm tall. Use a 0.050.05 significance level. The best predicted value of ModifyingAbove y with carety for an adult male who is 169169 cm tall is (answer) kg. (Round to two decimal places as needed.)
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i) Find the conditional distribution of the likelihood function given the function of the statistic, Ô = ₁ X₁. Hint: Apply f(L(0)|g(,0)). ii) Based on i) above, is = ii) Show whether or not X, is a consistent estimator of the parameter 1 X₁ a sufficient statistic? Justify your answer.