The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.
Online Program Home
Abstract Details
|
Activity Number:
|
620
|
|
Type:
|
Contributed
|
|
Date/Time:
|
Thursday, August 2, 2012 : 8:30 AM to 10:20 AM
|
|
Sponsor:
|
IMS
|
| Abstract - #305975 |
|
Title:
|
Monotonicity in the Sample Size of the Length of Classical Confidence Intervals
|
|
Author(s):
|
Yaakov Malinovsky*+ and Abram M. Kagan
|
|
Companies:
|
University of Maryland Baltimore County and University of Maryland
|
|
Address:
|
Department of Mathematics and Statistics, Baltimore, MD, 21250, United States
|
|
Keywords:
|
Gamma Function ;
Location and Scale Parameters ;
Stochastic Monotonicity
|
|
Abstract:
|
It is proved that the average length of standard confidence intervals for parameters of gamma and normal distributions monotonically decreases with the sample size. Though the monotonicity seems a very natural property, the proofs are based on fine properties of the classical gamma function and are of independent interest.
|
The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
Back to the full JSM 2012 program
|
2012 JSM Online Program Home
For information, contact jsm@amstat.org or phone (888) 231-3473.
If you have questions about the Continuing Education program, please contact the Education Department.