Comparing Bayes estimation with maximum likelihood estimation of generalized inverted exponential distribution in case of fuzzy data
Other Title(s)
مقارنة مقدر بيز مع طريقة الإمكان الأعظم لتقدير معلمتي معكوس التوزيع الأسي المعمم في حالة ضبابية البيانات
Joint Authors
al-Qazzaz, Qutaybah N. Nayif
al-Sadi, Hawra J. Kazim
Source
Journal of Economics and Administrative Science
Issue
Vol. 23, Issue 101 (31 Dec. 2017), pp.1-18, 18 p.
Publisher
University of Baghdad College of Administration and Economics
Publication Date
2017-12-31
Country of Publication
Iraq
No. of Pages
18
Main Subjects
Economics & Business Administration
Abstract EN
In this paper, the generalized inverted exponential distribution is considered as one of the most important distributions in studying failure times.
A shape and scale parameters of the distribution have been estimated after removing the fuzziness that characterizes its data because they are triangular fuzzy numbers.
To convert the fuzzy data to crisp data the researcher has used the centroid method.
Hence the studied distribution has two parameters which show a difficulty in separating and estimating them directly of the MLE method.
The Newton-Raphson method has been used.
For the Bayesian method, the gamma distribution has been proposed as a prior distribution for the two parameters with a quadratic loss function and by using Metropolis-Hasting algorithm to find the Bayesian parameters estimators.
Different samples have been generated to represent the population under study by using simulation approach.
After estimating the parameters, the results of the two methods have been compared according to the Mean Squared Error measurement.
And the researcher concluded that the best estimation method is the MLE followed by the Bayesian.
American Psychological Association (APA)
al-Qazzaz, Qutaybah N. Nayif& al-Sadi, Hawra J. Kazim. 2017. Comparing Bayes estimation with maximum likelihood estimation of generalized inverted exponential distribution in case of fuzzy data. Journal of Economics and Administrative Science،Vol. 23, no. 101, pp.1-18.
https://search.emarefa.net/detail/BIM-795082
Modern Language Association (MLA)
al-Qazzaz, Qutaybah N. Nayif& al-Sadi, Hawra J. Kazim. Comparing Bayes estimation with maximum likelihood estimation of generalized inverted exponential distribution in case of fuzzy data. Journal of Economics and Administrative Science Vol. 23, no. 101 (2017), pp.1-18.
https://search.emarefa.net/detail/BIM-795082
American Medical Association (AMA)
al-Qazzaz, Qutaybah N. Nayif& al-Sadi, Hawra J. Kazim. Comparing Bayes estimation with maximum likelihood estimation of generalized inverted exponential distribution in case of fuzzy data. Journal of Economics and Administrative Science. 2017. Vol. 23, no. 101, pp.1-18.
https://search.emarefa.net/detail/BIM-795082
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 16-17
Record ID
BIM-795082