A model for lifetimes, with a bathtub-shaped hazard rate, is the ex- ponential power distribution with survivai function S(x) = exp{1 exp((A.x)"]}. – (a) If a = 0.5, show that the hazard rate has a bathtub shape and find the time at which the hazard rate changes from decreasing to increasing. (b) If a = 2, show that the hazard rate of x is monotone increasing.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
icon
Related questions
Question
A model for lifetimes, with a bathtub-shaped hazard rate, is the ex-
ponential power distribution with survivai function S(x) = exp{1
exp((A.x)"]}.
–
(a) If a = 0.5, show that the hazard rate has a bathtub shape and find
the time at which the hazard rate changes from decreasing to increasing.
(b) If a = 2, show that the hazard rate of x is monotone increasing.
Transcribed Image Text:A model for lifetimes, with a bathtub-shaped hazard rate, is the ex- ponential power distribution with survivai function S(x) = exp{1 exp((A.x)"]}. – (a) If a = 0.5, show that the hazard rate has a bathtub shape and find the time at which the hazard rate changes from decreasing to increasing. (b) If a = 2, show that the hazard rate of x is monotone increasing.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning