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G. R. AL-Dayian

Publications (9)

Bayesian Estimation and Prediction Based on Constant Stress-Partially Accelerated Life Testing for Topp Leone-Inverted Kumaraswamy Distribution

G. R. AL-Dayian, A. A. EL-Helbawy, R. M. Refaey & S. M. Behairy · Journal of Advances in Mathematics and Computer Science · 2021

Accelerated life testing or partially accelerated life tests is very important in life testing experiments because it saves time and cost. Partially accelerated life tests are used when the data obtained from accelerated life tests cannot be extrapolated to usual conditions. This...

Open access Research Article 10.9734/jamcs/2021/v36i330344

Prediction for Modified Topp Leone-Chen Distribution Based on Progressive Type-II Censoring Scheme

G. R. AL-Dayian, A. A. EL-Helbawy, N. T. AL-Sayed & E. M. Swielum · Journal of Advances in Mathematics and Computer Science · 2021

Prediction of future events on the basis of the past and present information is a fundamental problem of statistics, arising in many contexts and producing varied solutions. The predictor can be either a point or an interval predictor. This paper focuses on predicting the future...

Open access Research Article 10.9734/jamcs/2021/v36i330345

Bivariate Compound Exponentiated Survival Function of the Lomax Distribution: Estimation and Prediction

R. M. Refaey, G. R. AL-Dayian & A. A. EL-Helbawy · Asian Journal of Probability and Statistics · 2021

In this paper, bivariate compound exponentiated survival function of the Lomax distribution is constructed based on the technique considered by AL-Hussaini (2011). Some properties of the distribution are derived. Maximum likelihood estimation and prediction of the future observat...

Open access Research Article 10.9734/ajpas/2021/v15i430372

The Kumaraswamy-Burr Type III Distribution: Properties and Estimation

S. M. Behairy, G. R. AL-Dayian & A. A. EL-Helbawy · Journal of Advances in Mathematics and Computer Science · 2016

The Burr Type III distribution attracts special attention in life testing and reliability analysis as it is applied in several areas such as economics and environmetrics among others. A composite distribution of Kumaraswamy and Burr Type III distributions, referred to as Kumarasw...

Open access Research Article 10.9734/BJMCS/2016/19958

Statistical Inference for Kumaraswamy Distribution Based on Generalized Order Statistics with Applications

M. M. Sharaf El-Deen, G. R. AL-Dayian & A. A. EL-Helbawy · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, non-Bayesian and Bayesian approaches are used to obtain point and interval estimation of the shape parameters, the reliability and the hazard rate functions of the Kumaraswamy distribution. The estimators are obtained based on generalized order statistics. The symm...

Open access Research Article 10.9734/BJMCS/2014/9193

Bayesian Prediction for Exponentiated Generalized Xgamma Distribution Based on Dual Generalized Order Statistics with Application to Poverty and COVID-19 Mortality Rates

R. E. Abd El-Kader, A. M. Abd Al-Fattah, G. R. AL-Dayian & A. A. EL-Helbawy · Journal of Advances in Mathematics and Computer Science · 2021

Statistical prediction is one of the most important problems in life testing; it has been applied in medicine, engineering, business and other areas as well. In this paper, the exponentiated generalized xgamma distribution is introduced as an application on the exponentiated gene...

Open access Research Article 10.9734/jamcs/2021/v36i430355

Bivariate Burr Type III Distribution: Estimation and Prediction

A. A. M. Mahmoud, R. M. Refaey, G. R. AL-Dayian & A. A. EL-Helbawy · Journal of Advances in Mathematics and Computer Science · 2021

In this paper, a bivariate Burr Type III distribution is constructed and some of its statistical properties such as bivariate probability density function and its marginal, joint cumulative distribution and its marginal, reliability and hazard rate functions are studied. The join...

Open access Research Article 10.9734/jamcs/2021/v36i130327

Bayesian Estimation and Prediction of Discrete Gompertz Distribution

M. A. Hegazy, R. E. Abd El-Kader, A. A. EL-Helbawy & G. R. AL-Dayian · Journal of Advances in Mathematics and Computer Science · 2021

In this paper, Bayesian inference is used to estimate the parameters, survival, hazard and alternative hazard rate functions of discrete Gompertz distribution. The Bayes estimators are derived under squared error loss function as a symmetric loss function and linear exponential l...

Open access Research Article 10.9734/jamcs/2021/v36i230335

Bayesian Estimation and Prediction for Exponentiated Generalized Inverted Kumaraswamy Distribution Based on Dual Generalized Order Statistics

A. M. Abd Al-Fattah, R. E. Abd El-Kader, A. A. EL-Helbawy & G. R. AL-Dayian · Journal of Advances in Mathematics and Computer Science · 2021

In this paper, the shape parameters, reliability and hazard rate functions of the exponentiated generalized inverted Kumaraswamy distribution are estimated using Bayesian approach. The Bayes estimators are derived under the squared error loss function and the linear-exponential l...

Open access Research Article 10.9734/jamcs/2021/v36i130334