Truncated and Censored Samples from the Pareto Distribution

2021 ◽  
Vol 29 (1) ◽  
pp. 213-232
Author(s):  
Abdelaziz Alsubie ◽  
Mostafa Abdelhamid ◽  
Abdul Hadi N. Ahmed ◽  
Mohammed Alqawba ◽  
Ahmed Z. Afify

2010 ◽  
Vol 54 (7) ◽  
pp. 1732-1743 ◽  
Author(s):  
Mohammad Z. Raqab ◽  
A. Asgharzadeh ◽  
R. Valiollahi

2021 ◽  
Vol 11 (13) ◽  
pp. 6000
Author(s):  
Khalaf S. Sultan ◽  
Walid Emam

In this paper, we use the combined-unified hybrid censoring samples to obtain the maximum likelihood estimates of the unknown parameters, survival, and hazard functions of Pareto distribution. Next, we discuss some efficiency criteria of the maximum likelihood estimators, including; the unbiasedness, consistency, and sufficiency. Additionally, we use MCMC to obtain the Bayesian estimates of the unknown parameters. In addition, we calculate the intervals estimation of the unknown parameters. Finally, we analyze a set of real data in view of the theoretical findings of the paper.


1999 ◽  
Vol 173 ◽  
pp. 289-293 ◽  
Author(s):  
J.R. Donnison ◽  
L.I. Pettit

AbstractA Pareto distribution was used to model the magnitude data for short-period comets up to 1988. It was found using exponential probability plots that the brightness did not vary with period and that the cut-off point previously adopted can be supported statistically. Examination of the diameters of Trans-Neptunian bodies showed that a power law does not adequately fit the limited data available.


2018 ◽  
Vol 14 (2) ◽  
pp. 53-60
Author(s):  
Mahdi Wahab Namah Nasrallah ◽  
Keyword(s):  

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