In survival analysis,original life time is T and mean residual life at time u is mrl(u)....

In survival analysis,original life time is T and mean residual life at time u is mrl(u).

Show the following:

mrl(u)=E(T-u|T>u)= [ integral(u to infinite) S(t) dt ] / S(u).

Expert Solution

orchestra answered 2 years ago

How to do survival analysis in excel with this data Life expectancy of females in years...

How to do survival analysis in excel with this data Life expectancy of females in years from 2005 to 2015 Country 2005, LE-F(years) 2015, LE-F(years) Afghanistan 58.1 63.5 Albania 77.8 79.9 Algeria 72.9 76.5 Angola 52.5 63 Antigua and Barbuda 76.4 78.2 Argentina 78.1 79.8 Armenia 75.3 77 Aruba 76.4 77.8 Australia 82.8 84.4 Austria 81.7 83.5 Azerbaijan 70.3 74.6 Bahamas 76.2 78.1 Bahrain 75.9 77.5 Bangladesh 67.3 72.9 Barbados 76 77.7 Belarus 73.7 77.7 Belgium 81.4 83 Belize 71.6...

How to do survival analysis in excel with this data Life expectancy of males in years...

How to do survival analysis in excel with this data Life expectancy of males in years from 2005 to 2015 Country 2005, LE-M (years) 2015, LE-M (years) Afghanistan 55.8 61.1 Albania 72.3 75.6 Algeria 70.1 74.1 Angola 47.5 57.4 Antigua and Barbuda 71.5 73.3 Argentina 70.6 72.2 Armenia 69.1 70.6 Aruba 71.5 72.9 Australia 77.8 80.2 Austria 75.9 78.4 Azerbaijan 64.6 68.6 Bahamas 70 72 Bahrain 74.2 75.6 Bangladesh 66.2 69.8 Barbados 71.4 72.9 Belarus 62.3 66.5 Belgium 75.3 78...

The mean survival time for patients with a particular form of disease is 4 years. A...

The mean survival time for patients with a particular form of disease is 4 years. A new treatment is tried on 20 patients with this particular disease and their average survival time is 4.7 years with a standard deviation of 1.5 years. (a) State the direction of the alternative hypothesis to test if the new treatment constitutes a significant improvement in survival time. Type gt (greater than), ge (greater than or equal to), lt (less than), le (less than or...

Asset purchased on Jan 1 109000, original useful life 10 yrs w/ residual value 12500. At...

Asset purchased on Jan 1 109000, original useful life 10 yrs w/ residual value 12500. At the end of the third yr it was determined that the remaining life was only 4 years w: residual cost of $3000. Calculate the 3rd year depreciation expense using the revised amounts and straight line method 20675 21675 22175 22675

write in details what is survival analysis and how can survival analysis including in all areas...

write in details what is survival analysis and how can survival analysis including in all areas such as Engineering, Medical, Economic, social,...etc write about 3 pages

The residuals for 15 consecutive time periods are as follows: Time Period Residual Time Period Residual...

The residuals for 15 consecutive time periods are as follows: Time Period Residual Time Period Residual 1 + 4 9 + 6 2 - 6 10 - 3 3 - 1 11 + 1 4 - 5 12 + 3 5 + 2 13 0 6 + 5 14 - 4 7 - 2 15 - 7 8 + 7 a) Plot the residuals over time. What conclusion can you reach about the pattern of the residuals over time? b)...

A screening test for prostate cancer has been shown to increase mean survival time by 5...

A screening test for prostate cancer has been shown to increase mean survival time by 5 years, and patients diagnosed via screening have demonstrated a better response to treatment than those not detected by screening. Would you determine this screening program a success? Why/why not? Provide at least 3 detailed reasons for your answer.

consider a system with the impulse response h(t) = e −t [u(t) − u(t − 2)]....

consider a system with the impulse response h(t) = e −t [u(t) − u(t − 2)]. (It's exponential function) Let the input signal x(t) be x(t) = 1 if 0 ≤ t < 1, x(t) = −1 if 1 ≤ t < 2, x(t) = 0 otherwise. (a) Determine the system output y(t). (b) (20) Plot y(t) using a computer and specify the maximum and minimum.

a.) Use the t-distribution to find a confidence interval for a mean u given the relevant...

a.) Use the t-distribution to find a confidence interval for a mean u given the relevant sample results. Give the best point estimate for u, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 95% confidence interval for u using the sample results x-bar=74.7, s=7.4, and n=42 Round your answer for the point estimate to one decimal place, and your answers for the margin...

Construct the indicated confidence interval for the population mean u using (a) a t-distribution. (b) If...

Construct the indicated confidence interval for the population mean u using (a) a t-distribution. (b) If you had incorrectly used a normal distribution, which interval would be wider? c=0.99, x =14.2, s=4.0, n=8 (a) The 99% confidence interval using a t-distribution is ( _, _ )

Question