Using approximation non-bayesian computation with fuzzy data to estimation inverse weibull parameters and reliability function

Joint Authors

al-Nur, Nadiyah Hashim
al-Sultani, Shuruq A. K.

Source

مجلة ابن الهيثم للعلوم الصرفة و التطبيقية

Publisher

University of Baghdad College of Education for Pure Science / Ibn al-Haitham

Publication Date

2017-12-31

Country of Publication

Iraq

No. of Pages

14

Main Subjects

Mathematics

English Abstract

In real situations all observations and measurements are not exact numbers but more or less non-exact, also called fuzzy.

So, in this paper, we use approximate non-Bayesian computational methods to estimate inverse Weibull parameters and reliability function with fuzzy data.

The maximum likelihood and moment estimations are obtained as non-Bayesian estimation.

The maximum likelihood estimators have been derived numerically based on two iterative techniques namely “Newton-Raphson” and the “Expectation-Maximization” techniques.

In addition, we provide compared numerically through Monte-Carlo simulation study to obtained estimates of the parameters and reliability function in terms of their mean squared error values and integrated mean squared error values respectively.

Data Type

Conference Papers

Record ID

BIM-851614

American Psychological Association (APA)

al-Nur, Nadiyah Hashim& al-Sultani, Shuruq A. K.. 2017-12-31. Using approximation non-bayesian computation with fuzzy data to estimation inverse weibull parameters and reliability function. International Conference on Biology, Chemistry, Computer Science, Mathematics, and Physics, will take place (2017 : Ibn Al Haitham University of Baghdad, Iraq). . Special issue (2017), pp.378-391.Baghdad Iraq : University of Baghdad College of Education for Pure Science / Ibn al-Haitham.
https://search.emarefa.net/detail/BIM-851614

Modern Language Association (MLA)

al-Nur, Nadiyah Hashim& al-Sultani, Shuruq A. K.. Using approximation non-bayesian computation with fuzzy data to estimation inverse weibull parameters and reliability function. . Baghdad Iraq : University of Baghdad College of Education for Pure Science / Ibn al-Haitham. 2017-12-31.
https://search.emarefa.net/detail/BIM-851614

American Medical Association (AMA)

al-Nur, Nadiyah Hashim& al-Sultani, Shuruq A. K.. Using approximation non-bayesian computation with fuzzy data to estimation inverse weibull parameters and reliability function. . International Conference on Biology, Chemistry, Computer Science, Mathematics, and Physics, will take place (2017 : Ibn Al Haitham University of Baghdad, Iraq).
https://search.emarefa.net/detail/BIM-851614