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Generalized Pareto distribution based on generalized order statistics and associated inference

100%
Malik M. R., Kumar D.
Statistics in Transition new series
|
2019
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vol. 20
|
issue 3
57-79
EN
In this paper, we have considered the generalized Pareto distribution. Various structural properties of the distribution are derived including (quantile function, explicit expressions for moments, mean deviation, Bonferroni and Lorenz curves and Renyi entropy). We have provided simple explicit expressions and recurrence relations for single and product moments of generalized order statistics from the generalized Pareto distribution. The method of maximum likelihood is adopted for estimating the model parameters. For different parameter settings and sample sizes, the simulation studies are performed and compared to the performance of the generalized Pareto distribution.
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Relationships for moments of the progressively Type-II right censored order statistics from the power Lomax distribution and the associated inference

86%
Saran J., Pushkarna N., Sehgal S.
Statistics in Transition new series
|
2021
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vol. 22
|
issue 4
191-212
EN
In this paper, we establish several recurrence relations between single and product moments of progressively Type-II right censored order statistics from the power Lomax distribution. The relations enable the computation of all the single and product moments of progressively Type-II right censored order statistics for all sample sizes ?? and all censoring schemes (R1, R2, ..., Rm) m ≤ n in a simple recursive manner. The maximum likelihood approach is used for the estimation of the parameters and the reliability characteristic. A Monte Carlo simulation study has been conducted to compare the performance of the estimates for different censoring schemes.
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