American Journal of Mathematical and Computational Sciences  
Manuscript Information
 
 
New Procedures for Selecting the k-Best Exponential Populations Better than a Standard
American Journal of Mathematical and Computational Sciences
Vol.3 , No. 1, Publication Date: Jan. 8, 2018, Page: 1-9
894 Views Since January 8, 2018, 443 Downloads Since Jan. 8, 2018
 
 
Authors
 
[1]    

Cheuk Key Ng, Department of Management Sciences, City University of Hong Kong, Hong Kong, China.

 
Abstract
 

Suppose several two-parameter exponential populations are given. The scale parameters are assumed unequal and can be either known or unknown. This paper discusses how to select those populations having their location parameters better than a standard under the indifference zone formulation. A striking feature of these procedures is that no statistical tables are needed for their implementation.


Keywords
 

Two-Parameter Exponential Population, Standard Population, Ranking and Selection, Two-Stage Procedure, Indifference Zone Formulation


Reference
 
[01]    

Bechhofer R. E. (1954). A single-sample multiple decision procedure for ranking eans of normal populations with known variances. Ann. Math. Statist. 25: 16-39.

[02]    

Gupta S. S. (1965). On some multiple decision (selection and ranking) rules. Technometrics 7: 225-245.

[03]    

Lawless J. F. (1982). Statistical Models and Methods for Lifetime Data. Wiley, New York.

[04]    

Hochberg Y. (1974). Some generalizations of the T-method in simultaneous inference. J. Multivariate Analysis 4: 224-234.

[05]    

Tong Y. L. (1980). Probability Inequalities in Multivariate Distributions. Academic Press.

[06]    

Barr D. R., Riziv M. H. (1966). An introduction to selection and ranking procedures. J. Amer. Statist. Assoc. 61: 640-646.

[07]    

Raghavachari M. & Starr N. (1970). Selection problems for some terminal distributions. Metron, 28, 185-197.

[08]    

Desu M. M., Narula S. C., Villarreal B. (1977). A two-stage procedure for selecting the best of k exponential distributions. Communications in Statistics – Theory & Methods A6 (12): 1223-30.

[09]    

Bristol D. R., Desu M. M. (1985). Selection procedures for comparing exponential guarantee times with a standard. The Frontiers of Modern Statistical Inference (ed. E. J. Dudewicz), 307-324, Academic Press.

[10]    

Wu S. F., Wu C. C. (2005). Two stage multiple comparisons with the average for exponential location parameters under heteroscedasticity. J. Statist. Planning and Inference, 134, 392-408.

[11]    

Wu S. F., Lin Y. P. & Yu Y. R. (2010). One-stage multiple comparisons with the control for exponential location parameters under heteroscedasticity. Computational Statistics and Data Analysis, 54, 1372-1380.





 
  Join Us
 
  Join as Reviewer
 
  Join Editorial Board
 
share:
 
 
Submission
 
 
Membership