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مقاله
1 - Parameter Estimation of Extended Burr XII Distribution Using Principle of Maximum Entropy based on K-RecordsInternational Journal of Industrial Mathematics , شماره 2 , سال 14 , بهار 2022In this paper a new method of parameter estimation was employed for extended Burr XII parameters using the principle of maximum entropy (POME) based on k-record values. The Monte Carlo simulation was applied to assess the performance of this method and compare it with s چکیده کاملIn this paper a new method of parameter estimation was employed for extended Burr XII parameters using the principle of maximum entropy (POME) based on k-record values. The Monte Carlo simulation was applied to assess the performance of this method and compare it with some other well-known methods. The simulated results showed that POME performs better than the other methods. پرونده مقاله -
مقاله
2 - Characterization of some distributions by inequalities on failure rateInternational Journal of Industrial Mathematics , شماره 6 , سال 15 , پاییز 2023Characterizing distributions is the process of finding the unique properties that distinguish a particular distribution from others. There are various methods for doing this, such as using moments, maximum entropy, hazard rate, and so on. Nanda (2010) used failure rate چکیده کاملCharacterizing distributions is the process of finding the unique properties that distinguish a particular distribution from others. There are various methods for doing this, such as using moments, maximum entropy, hazard rate, and so on. Nanda (2010) used failure rate and mean residual life functions to characterizing some distributions. In this paper, we extend the results of Nanda (2010). We characterize the Pareto, exponential, and Rayleigh distributions by refining the main results of that paper. We take some inequalities from that paper and propose a new inequality. Then, we raise both sides of the inequalities to some power and show that equality holds if and only if certain distributions are characterized. پرونده مقاله -
مقاله
3 - Maximum Likelihood Estimation for Parameters of Extended Burr XII Distribution and Bias Correction Based on K-RecordsInternational Journal of Industrial Mathematics , شماره 1 , سال 14 , زمستان 2022Our 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 estimato چکیده کاملOur 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. پرونده مقاله