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Comparison between Bayesian and maximum likelihood methods for parameters and the reliability function of Perks distribution
Other Title(s)
مقارنة طريقة بيز مع الإمكان الأعظم لمعلمات و دالة المعولية لتوزيع باركس
Joint Authors
al-Sultani, Shuruq Ahmad Karim
Muhammad, Sahar Ahmad
Source
Issue
Vol. 59, Issue 1B (31 Mar. 2018), pp.369-376, 8 p.
Publisher
University of Baghdad College of Science
Publication Date
2018-03-31
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Topics
Abstract EN
In this paper, we have derived Bayesian estimation for the parameters and reliability function of Perks distribution based on two different loss functions, Lindley’s approximation has been used to obtain those values.
It is assumed that the parameter behaves as a random variable have a Gumbell Type prior with noninformative is used.
And after the derivation of mathematical formulas of those estimations, the simulation method was used for comparison depending on mean square error (MSE) values and integrated mean absolute percentage error (IMAPE) values respectively.
Among of conclusion that have been reached, it is observed that, the LE-NR estimate introduced the best perform for estimating the parameter λ.
American Psychological Association (APA)
al-Sultani, Shuruq Ahmad Karim& Muhammad, Sahar Ahmad. 2018. Comparison between Bayesian and maximum likelihood methods for parameters and the reliability function of Perks distribution. Iraqi Journal of Science،Vol. 59, no. 1B, pp.369-376.
https://search.emarefa.net/detail/BIM-832089
Modern Language Association (MLA)
al-Sultani, Shuruq Ahmad Karim& Muhammad, Sahar Ahmad. Comparison between Bayesian and maximum likelihood methods for parameters and the reliability function of Perks distribution. Iraqi Journal of Science Vol. 59, no. 1B (2018), pp.369-376.
https://search.emarefa.net/detail/BIM-832089
American Medical Association (AMA)
al-Sultani, Shuruq Ahmad Karim& Muhammad, Sahar Ahmad. Comparison between Bayesian and maximum likelihood methods for parameters and the reliability function of Perks distribution. Iraqi Journal of Science. 2018. Vol. 59, no. 1B, pp.369-376.
https://search.emarefa.net/detail/BIM-832089
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 376
Record ID
BIM-832089