Estimation of the order restricted scale parameters for two populations from the Lomax distribution

Metrika ◽  
2017 ◽  
Vol 80 (4) ◽  
pp. 483-502 ◽  
Author(s):  
Constantinos Petropoulos
Keyword(s):  
Lomax Distribution ◽  
Scale Parameters ◽  
Order Restricted ◽  
Two Populations

scholarly journals Wrapped Lomax Distribution :a New CircularProbability Model

2018 ◽  
Vol 7 (3.31) ◽  
pp. 150
Author(s):  
R Subba Rao ◽  
V Ravindranath ◽  
A V.Dattatreya Rao ◽  
G Prasad ◽  
P Ravi Kishore
Keyword(s):  
Medical Diagnosis ◽  
Queuing Theory ◽  
Life Time ◽  
Random Variable ◽  
Time Of Day ◽  
Circular Distribution ◽  
Lomax Distribution ◽  
Scale Parameters ◽  
Type Iv ◽  
Circular Model

Lomax Distribution (Pareto Type IV) is fitted for a life time random variable which can be studied for the data belongs to Actuarialscience, medical diagnosis and Queuing theory etc. In the time of day events observed in cycles like hourly, daily, weekly, monthlyor yearly are in circular distribution. By adopting the technique of wrapping an attempt is made to identify a new circular probabilitymodel originate as Wrapped Lomax Distribution. The concept of circular model is introduced and strategy of wrapping is given forLomaxDistribution. Wrapped Lomax Distribution PDF and CDF are derived, their graphs are also studied. The trigonometric momentsand characteristic function of Wrapped Lomax Distribution are obtained and their graphs are also depicted. The characteristics likemean, variance, skewness, kurtosis and circular standard deviation for various values of location and scale parameters are derived in this paper.  

Smooth estimators for estimating order restricted scale parameters of two gamma distributions

Metrika ◽  
2002 ◽  
Vol 56 (2) ◽  
pp. 143-161 ◽  
Author(s):  
Neeraj Misra ◽  
P. K. Choudhary ◽  
I. D. Dhariyal ◽  
D. Kundu
Keyword(s):  
Scale Parameters ◽  
Gamma Distributions ◽  
Order Restricted

Comparison of Principal Component Solutions in Two Populations

Methodology ◽  
2016 ◽  
Vol 12 (1) ◽  
pp. 11-20 ◽  
Author(s):  
Gregor Sočan
Keyword(s):  
Simulation Study ◽  
Principal Components ◽  
Common Factor ◽  
Principal Component ◽  
Component Model ◽  
Bootstrap Procedure ◽  
Factor Loadings ◽  
Component Loadings ◽  
Principal Component Model ◽  
Two Populations

Abstract. When principal component solutions are compared across two groups, a question arises whether the extracted components have the same interpretation in both populations. The problem can be approached by testing null hypotheses stating that the congruence coefficients between pairs of vectors of component loadings are equal to 1. Chan, Leung, Chan, Ho, and Yung (1999) proposed a bootstrap procedure for testing the hypothesis of perfect congruence between vectors of common factor loadings. We demonstrate that the procedure by Chan et al. is both theoretically and empirically inadequate for the application on principal components. We propose a modification of their procedure, which constructs the resampling space according to the characteristics of the principal component model. The results of a simulation study show satisfactory empirical properties of the modified procedure.

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