Concomitants of Dual Generalized Order Statistics from Morgenstern Type Bivariate Generalized Exponential Distribution

<p>Estimation of a parameter of generalized exponential distribution (gexp) is obtained based on generalized order statistics. The maximum likelihood and Bayes methods are used for this purpose. Survival function and hazard rate are also computed. Estimation based on upper record values from generalized exponential distribution is obtained as a special case and compared by simulated data.</p>

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Expectation identities of lower generalized order statistics from generalized exponential distribution and a characterization

Mathematical Methods of Statistics ◽

10.3103/s1066530711020049 ◽

2011 ◽

Vol 20 (2) ◽

pp. 150-157 ◽

Cited By ~ 5

Author(s):

R. U. Khan ◽

D. Kumar

Keyword(s):

Order Statistics ◽

Exponential Distribution ◽

Generalized Order Statistics ◽

Generalized Exponential Distribution ◽

Generalized Order

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On Concomitants of Dual Generalized Order Statistics for a Bivariate Inverse Exponential Distribution

European Journal of Pure and Applied Mathematics ◽

10.29020/nybg.ejpam.v11i4.3257 ◽

2018 ◽

Vol 11 (4) ◽

pp. 929-936 ◽

Cited By ~ 1

Author(s):

Saman Hanif Shahbaz ◽

Muhammad Qaiser Shahbaz

Keyword(s):

Order Statistics ◽

Exponential Distribution ◽

Joint Distribution ◽

Generalized Order Statistics ◽

Inverse Exponential Distribution ◽

Dual Generalized Order Statistics ◽

Generalized Order

The concomitants of Dual Generalized Order Statistics for InverseExponential distribution has been studied. Specifically the distributionalproperties of r--th concomitant and joint distribution of r--th and s--thconcomitant of dual generalized order statistics have been studied whensample is available from a bivariate inverse exponential distribution.

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Information Measures for Generalized Order Statistics and Their Concomitants under General Framework from Huang-Kotz FGM Bivariate Distribution

Entropy ◽

10.3390/e23030335 ◽

2021 ◽

Vol 23 (3) ◽

pp. 335

Author(s):

Mohamed A. Abd Elgawad ◽

Haroon M. Barakat ◽

Shengwu Xiong ◽

Salem A. Alyami

Keyword(s):

Order Statistics ◽

General Framework ◽

Bivariate Distribution ◽

Generalized Order Statistics ◽

Information Measures ◽

Progressive Type ◽

Information Number ◽

Fisher Information Number ◽

Dual Generalized Order Statistics ◽

Generalized Order

In this paper, we study the concomitants of dual generalized order statistics (and consequently generalized order statistics) when the parameters γ1,⋯,γn are assumed to be pairwise different from Huang–Kotz Farlie–Gumble–Morgenstern bivariate distribution. Some useful recurrence relations between single and product moments of concomitants are obtained. Moreover, Shannon’s entropy and the Fisher information number measures are derived. Finally, these measures are extensively studied for some well-known distributions such as exponential, Pareto and power distributions. The main motivation of the study of the concomitants of generalized order statistics (as an important practical kind to order the bivariate data) under this general framework is to enable researchers in different fields of statistics to use some of the important models contained in these generalized order statistics only under this general framework. These extended models are frequently used in the reliability theory, such as the progressive type-II censored order statistics.

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