2. Let y1, Yn be realisations of n iid random variables with probability mass function 03...

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2. Let y1, Yn be realisations of n iid random variables with probability mass function 03 (1 - 0) f(y; 0) = 1-09 y = 0, 1, 2, ..., 7,8 for some unknown parameter 0 (0, 1). Hint. For this distribution, 909 E(Y) = 8109 and var(Y): = 1 - 0 1 - 09 (1 - 0)2 (109)2 e) Write your own function to apply Fisher's method of scoring for this sample. The uploaded file must include you R code of the function and its output showing 1) the ML estimate, 2) the value of the score function at the derived MLE, 3) the value of the expected information at the derived MLE, 4) the estimated standard error (ESE) of the MLE. Do not attach an R file. Copy-paste your R code and output elsewhere (a Word or Text file) and save it as a pdf or a picture. 7 A B I UPLOAD FILE WITH HAND WRITTEN SOLUTION. DO NOT TYPE ANSWER. Maximum file size: 100MB maximum number of files: 1. 2. Let y1, Yn be realisations of n iid random variables with probability mass function 03 (1 - 0) f(y; 0) = 1-09 y = 0, 1, 2, ..., 7,8 for some unknown parameter 0 (0, 1). Hint. For this distribution, 909 E(Y) = 8109 and var(Y): = 1 - 0 1 - 09 (1 - 0)2 (109)2 e) Write your own function to apply Fisher's method of scoring for this sample. The uploaded file must include you R code of the function and its output showing 1) the ML estimate, 2) the value of the score function at the derived MLE, 3) the value of the expected information at the derived MLE, 4) the estimated standard error (ESE) of the MLE. Do not attach an R file. Copy-paste your R code and output elsewhere (a Word or Text file) and save it as a pdf or a picture. 7 A B I UPLOAD FILE WITH HAND WRITTEN SOLUTION. DO NOT TYPE ANSWER. Maximum file size: 100MB maximum number of files: 1.