Reconstructing past fractional record values
El-Adll, M., Aly, A. (2016). Reconstructing past fractional record values. EKB Journal Management System, 24(4), 622-628. doi: 10.1016/j.joems.2016.04.002
Magdy E. El-Adll; Amany E. Aly. "Reconstructing past fractional record values". EKB Journal Management System, 24, 4, 2016, 622-628. doi: 10.1016/j.joems.2016.04.002
El-Adll, M., Aly, A. (2016). 'Reconstructing past fractional record values', EKB Journal Management System, 24(4), pp. 622-628. doi: 10.1016/j.joems.2016.04.002
El-Adll, M., Aly, A. Reconstructing past fractional record values. EKB Journal Management System, 2016; 24(4): 622-628. doi: 10.1016/j.joems.2016.04.002

Reconstructing past fractional record values

Journal of the Egyptian Mathematical Society
Volume 24, Issue 4, 2016, Page 622-628  XML PDF (408.79 K)
DOI: 10.1016/j.joems.2016.04.002
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Authors
Magdy E. El-Adll; Amany E. Aly
Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, Cairo, Egypt
Abstract
In this paper, reconstructing past fractional upper (lower) records from any absolutely
continuous distribution is proposed. For this purpose, two pivotal quantities are given and their exact
distributions are derived. More detailed results, including the case of unknown parameters, are given
for the exponential and Fr ´e chet distributions. Moreover, the exact mean square reconstructor errors
are obtained and some comparisons between the pivotal quantities are performed. To explore the
efficiency of the obtained results, a simulation study is conducted and two real data sets are analyzed
Keywords
Fractional records; pivotal quantity; reconstruction interval; coverage probability; Monte Carlo simulation
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