Maximum Likelihood Estimation for Parameters of Extended Burr XII Distribution and Bias Correction Based on K-Records

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

M. Rajaei Salmasi ¹

1 - Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.

تاریخ دریافت : 1400/08/22 تاریخ پذیرش : 1400/08/22 تاریخ انتشار : 1400/10/11

کلید واژه: MLE, Bias corrected estimator, K-Records, Extended Burr XII distribution,

چکیده مقاله :

Our aim at this paper is to estimate the parameters of extended Burr XII (EBXII) based on krecords with corrected bias. To get this goal maximum likelihood estimator (MLE) is applied and bias correction for ML estimation is considered to get better and improved estimator. Numerical results for comparison of performances of estimators are also presented.

چکیده انگلیسی:

هدف ما در این مقاله برآورد پارامترهای توزیع بر 12 مبسوط بر پایه ی مقادیر رکورد k و تصحیح اریبی آن است. برای نیل به این هدف با استفاده از بیشینه راستنمایی برآوردی بدست آمده و سپس با تصحیح اریبی آن برآوردگری بهبود یافته ایجاد شده است. برای مقایسه و بررسی عملکرد برآوردگرها از روش های عددی استفاد شده است.

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