Comparison of classical and bayesian methods to estimate the shape parameter and reliability function in burr type x or two parameter of exponential rayleigh distribution under different loss function

Other Title(s)

مقارنة بين الطرائق الاعتيادية و البيزية لتقدير معلمة الشكل ودالة المعوليه لتوزيع بور نوع X او توزيع رآلي الأسي ذي المعلمتين تحت دوال خسارة مختلفة

Joint Authors

Abd al-Amir, Huda A.
Numan, Anam Abd al-Rahman

Source

The Journal of Administration and Economics

Issue

Vol. 42, Issue 119 (30 Apr. 2019), pp.42-58, 17 p.

Publisher

al-Mustansiriyah University College of Management and Economic

Publication Date

2019-04-30

Country of Publication

Iraq

No. of Pages

17

Main Subjects

Business Administration
Economy and Commerce

Topics

Abstract EN

The paper deals with estimation shape parameter of Burr distribution type X (which also called two parameter exponential Rayleigh).

The methods of estimation are Maximum likelihood method and percentiles estimator (PER), as well as Bayesian estimator using Jeffery's prior distribution.

The Bayes estimator of shape parameter (θ) is conducted using different loss function, like squared error loss function and also precautionary loss function.

The comparison is done using statistical Measures Mean Square error (MSE) take different sample size (n=15, 30, 50, 100) and different set of initial values for (θ, λ)

American Psychological Association (APA)

Numan, Anam Abd al-Rahman& Abd al-Amir, Huda A.. 2019. Comparison of classical and bayesian methods to estimate the shape parameter and reliability function in burr type x or two parameter of exponential rayleigh distribution under different loss function. The Journal of Administration and Economics،Vol. 42, no. 119, pp.42-58.
https://search.emarefa.net/detail/BIM-1092153

Modern Language Association (MLA)

Numan, Anam Abd al-Rahman& Abd al-Amir, Huda A.. Comparison of classical and bayesian methods to estimate the shape parameter and reliability function in burr type x or two parameter of exponential rayleigh distribution under different loss function. The Journal of Administration and Economics Vol. 42, no. 119 (2019), pp.42-58.
https://search.emarefa.net/detail/BIM-1092153

American Medical Association (AMA)

Numan, Anam Abd al-Rahman& Abd al-Amir, Huda A.. Comparison of classical and bayesian methods to estimate the shape parameter and reliability function in burr type x or two parameter of exponential rayleigh distribution under different loss function. The Journal of Administration and Economics. 2019. Vol. 42, no. 119, pp.42-58.
https://search.emarefa.net/detail/BIM-1092153

Data Type

Journal Articles

Language

English

Notes

-

Record ID

BIM-1092153