Distributional Properties of Order Statistics and Record Statistics

Abdul Hamid Khan, Imtiyaz A. Shah

Abstract


Distributional properties of the order statistics, upper and lower records have been utilized to characterize distributions of interest. Further, one sided random dilation and contraction are utilized to obtain the distribution of non-adjacent ordered statistics and also their important deductions are discussed.


Keywords


Lower and upper record statistics, Order statistics, Random dilation and contraction, Characterization of distributions, Exponential, Weibull, Inverse Weibull, Pareto, Power function and Gumbel distributions

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DOI: http://dx.doi.org/10.18187/pjsor.v8i3.528

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Title

Distributional Properties of Order Statistics and Record Statistics

Keywords

Lower and upper record statistics, Order statistics, Random dilation and contraction, Characterization of distributions, Exponential, Weibull, Inverse Weibull, Pareto, Power function and Gumbel distributions

Description

Distributional properties of the order statistics, upper and lower records have been utilized to characterize distributions of interest. Further, one sided random dilation and contraction are utilized to obtain the distribution of non-adjacent ordered statistics and also their important deductions are discussed.


Date

2012-07-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol 8. No. 3, 2012



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810