Alternative classification rules for two normal populations with a common mean and ordered variances

2021 ◽  
pp. 1-21
Author(s):  
Pushkal Kumar ◽  
Manas Ranjan Tripathy ◽  
Somesh Kumar
Keyword(s):  
Classification Rules ◽  
Common Mean ◽  
Normal Populations

Estimation of the Common Mean of Two Normal Populations Using Two Stage Sampling

1998 ◽  
Vol 48 (1-2) ◽  
pp. 73-82
Author(s):  
Moloy De ◽  
Jyotirmoy Sarkar
Keyword(s):  
Sampling Scheme ◽  
Two Stage ◽  
Unequal Variances ◽  
Common Mean ◽  
Normal Populations ◽  
The Common

We exhibit the superiority of the Graybill- Deal estimator for estimating the common mean of two univariate normal populations with unequal variances, under a two stage sampling scheme. Some properties of the two-stage Graybill-Deal estimator are discussed.

On a Class of Admissible Estimators of the Common Mean of Two Univariate Normal Populations

1995 ◽  
Vol 45 (1-2) ◽  
pp. 103-110
Author(s):  
Moloy De
Keyword(s):  
Two Stage ◽  
Unequal Variances ◽  
Common Mean ◽  
Normal Populations ◽  
The Common

The purpose of this article is to extend a result of Sinha and Mouqadem ( Commun. Stal. Theo. Meth. 11, 1982, 1603-1614), and present a class of admissible estimators of the common mean of two univariate normal populations with unknown unequal variances. An extension of tbis result in the case of two-stage procedures is also briefly discussed.

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