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A model used in the construction of life tables is a piecewise, con- stant hazard rate model. Here the time axis is divided into k intervals [7;-1, T;), i = 1, ..., k, with 7, = 0 and T = 0. The hazard rate on the ith interval is a constant value, 0; that is 0

A model used in the construction of life tables is a piecewise, con- stant hazard rate model. Here the time axis is divided into k intervals [7;-1, T;), i = 1, ..., k, with 7, = 0 and T = 0. The hazard rate on the ith interval is a constant value, 0; that is 0

MATLAB: An Introduction with Applications
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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A model used in the construction of life tables is a piecewise, con stant hazard rate model. Here the time axis is divided into k intervals, (T;-1, T;), i = 1, ..., k, with T, = 0 and T = 0. The hazard rate on the ith interval is a constant value, 0; that is 0< x< T T1 <x< T2 b(x) = O-1 Tk-2 <x< Th-1 x2 TL-1 (a) Find the survival function for this model. (b) Find the mean residual-life function. (c) Find the median residual-life function.
Transcribed Image Text:A model used in the construction of life tables is a piecewise, con stant hazard rate model. Here the time axis is divided into k intervals, (T;-1, T;), i = 1, ..., k, with T, = 0 and T = 0. The hazard rate on the ith interval is a constant value, 0; that is 0< x< T T1 <x< T2 b(x) = O-1 Tk-2 <x< Th-1 x2 TL-1 (a) Find the survival function for this model. (b) Find the mean residual-life function. (c) Find the median residual-life function.
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