Confidence intervals for comparing two scale parameters based on levene statistics

2002 ◽  
Vol 14 (4) ◽  
pp. 459-476 ◽  
Author(s):  
Guohua Pan
Keyword(s):  
Confidence Intervals ◽  
Scale Parameters

Elementary Estimates: An Introduction to Nonparametrics

1985 ◽  
Vol 10 (3) ◽  
pp. 211-221
Author(s):  
Gottfried E. Noether
Keyword(s):  
Confidence Intervals ◽  
Sign Test ◽  
Test Statistics ◽  
Population Parameters ◽  
Unified Approach ◽  
Scale Parameters ◽  
Bivariate Data ◽  
Point Estimates ◽  
Regression Parameters ◽  
The One

The paper presents a unified approach to some of the more popular nonparametric methods in current use. The approach provides the reader with new insights by exhibiting relationships to relevant population parameters, such as location and scale parameters for the one- and two-sample problems and regression parameters for bivariate data. For each parameter, a set of so-called elementary estimates is defined. The elementary estimates are then used to determine point estimates, confidence intervals, and test statistics for testing relevant nonparametric hypotheses. Among the tests discussed are the sign test, the Wilcoxon one- and two-sample tests, and Kendall’s test of independence.

STATISTICAL INFERENCE ABOUT AVAILABILITY OF SYSTEM WITH GAMMA LIFETIME AND REPAIR TIME

2011 ◽  
Vol 18 (01) ◽  
pp. 1-24 ◽  
Author(s):  
MENGYING LU ◽  
JIE MI
Keyword(s):  
Steady State ◽  
Statistical Inference ◽  
Confidence Intervals ◽  
Likelihood Ratio ◽  
Repair Time ◽  
Special Importance ◽  
Ratio Test ◽  
System Availability ◽  
Scale Parameters ◽  
Measure Of Performance

Availability is an important measure of performance of repairable system. The steady state system availability has special importance since it demonstrates the performance of a system after it has been operated for long. The statistical inference about the steady state availability are particularly useful for practitioners. Much work has been done in this regard. Most of these researches proposed certain pivotal quantities for constructing confidence intervals of the steady state availability. Assuming both the lifetime and repair time follow gamma distribution with known shape parameters and unknown scale parameters, we propose a pivotal quantity for making inferences, and further derive the likelihood ratio tests. Tables of critical values are given for the convenience of applying the two-sided likelihood ratio test. Confidence intervals are also obtained by converting the acceptance regions.

A problem with confidence intervals.

1995 ◽  
Vol 50 (12) ◽  
pp. 1102-1103 ◽  
Author(s):  
Robert W. Frick
Keyword(s):  
Confidence Intervals
Sign in / Sign up

Export Citation Format

Share Document