# a2.w09 - ACTSC 433/833 Winter 09 Assignment 2 Due 10 March...

This preview shows pages 1–2. Sign up to view the full content.

ACTSC 433/833 – Winter 09 Assignment 2 Due: 10 March 2009 (hand in to the instructor at the beginning of class) 1. You are given the following censored and truncated data: I d i x i u i 1 0 1 - 2 0 2 - 3 0 - 3 4 2.5 4 - 5 2 5 - 6 0 - 4.5 7 3 - 10 8 0 8 - (a) Create a table of y j , r j , and s j , for j = 1, 2, …, k , where k is the total number of death points. (b) Calculate S 8 (2) and its variance. (c) Calculate (4) H ± and its variance. (d) Construct a 95% symmetric linear confidence interval for S (2). (e) Construct a 95% log-transformed confidence interval for S (2). (f) Repeat parts (d) and (e) for H (4). (g) On the basis of your answers to parts (d) to (f), comment on the advantage of log- transformed confidence intervals over symmetric linear confidence intervals. 2. You are given the following random sample from the distribution of X : 5, 8, 10, 12, 14, 20, 25, 35, 50, 50 (a) Calculate the empirical estimate of E( X ) and E( X 2 ) (b) Calculate the smoothed empirical estimate of the 25 th and 75 th percentiles.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

a2.w09 - ACTSC 433/833 Winter 09 Assignment 2 Due 10 March...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online