A new confidence interval for standardized generalized variances of k-multivariate normal populations

2021 ◽  
pp. 1-10
Author(s):  
Asifa Shahzadi ◽  
Maryam Ilyas
Keyword(s):  
Confidence Interval ◽  
Multivariate Normal ◽  
Normal Populations

Constructing a confidence interval for the ratio of normal distribution quantiles

2020 ◽  
Vol 26 (4) ◽  
pp. 325-334
Author(s):  
Ahad Malekzadeh ◽  
Seyed Mahdi Mahmoudi
Keyword(s):  
Confidence Interval ◽  
Normal Distribution ◽  
Confidence Intervals ◽  
Pivotal Quantity ◽  
Simple Method ◽  
Normal Populations ◽  
Generalized Pivotal Quantity ◽  
Variance Estimate

AbstractIn this paper, to construct a confidence interval (general and shortest) for quantiles of normal distribution in one population, we present a pivotal quantity that has non-central t distribution. In the case of two independent normal populations, we propose a confidence interval for the ratio of quantiles based on the generalized pivotal quantity, and we introduce a simple method for extracting its percentiles, based on which a shorter confidence interval can be created. Also, we provide general and shorter confidence intervals using the method of variance estimate recovery. The performance of five proposed methods will be examined by using simulation and examples.

scholarly journals Selection from multivariate normal populations

1966 ◽  
Vol 18 (1) ◽  
pp. 307-318 ◽  
Author(s):  
Khursheed Alam ◽  
M. Haseeb Rizvi
Keyword(s):  
Multivariate Normal ◽  
Normal Populations

A Test for Equality of Means of Multivariate Normal Distributions when Covariance Matrices are Unequal

1971 ◽  
Vol 20 (4) ◽  
pp. 153-156 ◽  
Author(s):  
R. P. Bhargava
Keyword(s):  
Covariance Matrices ◽  
Multivariate Normal ◽  
Normal Distributions ◽  
Normal Populations ◽  
Equality Of Means ◽  
Multivariate Normal Distributions ◽  
Test Of Significance

Summary In this paper a test of significance is given for testing the equality of means of q+ 1 multivariate normal populations ( q > 1) when their covariance matrices are unequal and unknown.

Sample sizes for comparing means of two multivariate normal populations

1987 ◽  
Vol 16 (4) ◽  
pp. 1207-1218 ◽  
Author(s):  
Paul Speckman ◽  
Sharon Anderson ◽  
John Hewett
Keyword(s):  
Multivariate Normal ◽  
Sample Sizes ◽  
Normal Populations
Sign in / Sign up

Export Citation Format

Share Document