scholarly journals An Efficient Shrinkage Estimators For Generalized Inverse Rayleigh Distribution Based On Bounded And Series Stress-Strength Models

2021 ◽  
Vol 1897 (1) ◽  
pp. 012054
Author(s):  
Iman Ghaji Jebur ◽  
Bayda Atiya Kalaf ◽  
Abbas N. Salman
Keyword(s):  
Generalized Inverse ◽  
Rayleigh Distribution ◽  
Shrinkage Estimators ◽  
Strength Models

scholarly journals Two Different Classes of Shrinkage Estimators for the Scale Parameter of the Rayleigh Distribution

2021 ◽  
Vol 19 (1) ◽  
pp. 2-21
Author(s):  
Talha Omer ◽  
Zawar Hussain ◽  
Muhammad Qasim ◽  
Said Farooq Shah ◽  
Akbar Ali Khan
Keyword(s):  
Simulation Study ◽  
Mean Squared Error ◽  
Scale Parameter ◽  
Rayleigh Distribution ◽  
Shrinkage Estimators ◽  
Unbiased Estimators ◽  
Squared Error ◽  
The Mean ◽  
Simulation Results

Shrinkage estimators are introduced for the scale parameter of the Rayleigh distribution by using two different shrinkage techniques. The mean squared error properties of the proposed estimator have been derived. The comparison of proposed classes of the estimators is made with the respective conventional unbiased estimators by means of mean squared error in the simulation study. Simulation results show that the proposed shrinkage estimators yield smaller mean squared error than the existence of unbiased estimators.

scholarly journals A New Generalization of the Generalized Inverse Rayleigh Distribution with Applications

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 711
Author(s):  
Rana Ali Bakoban ◽  
Ashwaq Mohammad Al-Shehri
Keyword(s):  
Generalized Inverse ◽  
Real Life ◽  
Likelihood Estimation ◽  
Real Data ◽  
Quantile Function ◽  
Reliability Function ◽  
Rayleigh Distribution ◽  
Information Criteria ◽  
Difference Fields ◽  
The Mean

In this article, a new four-parameter lifetime model called the beta generalized inverse Rayleigh distribution (BGIRD) is defined and studied. Mixture representation of this model is derived. Curve’s behavior of probability density function, reliability function, and hazard function are studied. Next, we derived the quantile function, median, mode, moments, harmonic mean, skewness, and kurtosis. In addition, the order statistics and the mean deviations about the mean and median are found. Other important properties including entropy (Rényi and Shannon), which is a measure of the uncertainty for this distribution, are also investigated. Maximum likelihood estimation is adopted to the model. A simulation study is conducted to estimate the parameters. Four real-life data sets from difference fields were applied on this model. In addition, a comparison between the new model and some competitive models is done via information criteria. Our model shows the best fitting for the real data.

scholarly journals The Efficiency of Some Shrinkage Estimators for Shape Parameter of the Pareto-Rayleigh Distribution

2022 ◽  
Vol 15 (2) ◽  
pp. 407-426
Author(s):  
Mehdi Balui ◽  
Einolah Deiri ◽  
Farshin Hormozinejad ◽  
Ezzatallah Baloui Jamkhaneh ◽  
◽  
...  
Keyword(s):  
Shape Parameter ◽  
Rayleigh Distribution ◽  
Shrinkage Estimators

scholarly journals Cascade stress-strength system Reliability Estimation of Inverse Rayleigh Distribution

2020 ◽  
Vol 3 (2) ◽  
pp. 9-19
Author(s):  
Hassna H. Kadem ◽  
Nada S. Karam
Keyword(s):  
Rayleigh Distribution ◽  
Reliability Estimation ◽  
Least Square ◽  
Estimation Methods ◽  
Cascade System ◽  
Faulty Component ◽  
Reliability Issue ◽  
Strength Models ◽  
Redundant Component ◽  
Special Case

The electronic devices, equipment and complex machines used in many fields such as telecommunications, medicine, astronautics and others are all subject to malfunctions, which cause material and moral losses, waste of time and other damages. Hence the importance of reliability issue in our working life by evaluating the performance and efficiency of these systems and Measuring the reliability of any device will be the basis for the development of most of these devices . Then In this paper will  discussed the Estimation of Reliability Rn for cascade system when the stress and strength are Inverse Rayleigh distributed random variables. under-voltage rating. The cascade system is a redundant component system, which is a redundant component with under-voltage rating and independently distributed power, in which the redundant component replaces the faulty component.. Cascade system is a special case of Stress- Strength models system. Also we discussed the Estimation of Marginal Reliabilities R1, R2 and R3 for Cascade system by three estimation methods (Max. likelihood, Weighted Least Square, Least Square) and Compare between the estimators  of  R4. © 2018 JASET, International Scholars and Researchers Association

scholarly journals Employ Shrinkage Estimation Technique for the Reliability System in Stress-Strength Models: special case of Exponentiated Family Distribution

2020 ◽  
Vol 33 (4) ◽  
pp. 50
Author(s):  
Eman A.A. ◽  
Abbas N .S.
Keyword(s):  
Shape Parameter ◽  
Mean Squared Error ◽  
Scale Parameter ◽  
Estimation Methods ◽  
Shrinkage Estimation ◽  
Shrinkage Estimators ◽  
Strength Model ◽  
Squared Error ◽  
Strength Models ◽  
Special Case

       A reliability system of the multi-component stress-strength model R(s,k) will be considered in the present paper ,when the stress and strength are independent and non-identically distribution have the Exponentiated Family Distribution(FED) with the unknown  shape parameter α and known scale parameter λ  equal to two and parameter θ equal to three. Different estimation methods of R(s,k) were introduced corresponding to Maximum likelihood and Shrinkage estimators. Comparisons among the suggested estimators were prepared depending on simulation established on mean squared error (MSE) criteria.

On the Exponentiated Generalized Inverse Rayleigh Distribution Based on Truncated Life Tests in a Double Acceptance Sampling Plan

2017 ◽  
Vol 32 (1) ◽  
Author(s):  
Amer I. Al-Omari ◽  
Amjad D. Al-Nasser ◽  
Fatima Gogah ◽  
Muhammad A. Haq
Keyword(s):  
Confidence Level ◽  
Operating Characteristic ◽  
Generalized Inverse ◽  
Rayleigh Distribution ◽  
Sampling Plan ◽  
Acceptance Sampling ◽  
Acceptance Sampling Plan ◽  
Life Tests ◽  
Characteristic Values ◽  
The Mean

AbstractA double acceptance sampling plan (DASP) based on truncated life tests is suggested in this paper when the lifetime of a product follows the exponentiated generalized inverse Rayleigh distribution (EGIR). For a fixed value of the consumer’s confidence level, the minimum sample sizes of the first and second samples needed to ensure the specified mean life are obtained. The operating characteristic values according to the different quality levels are obtained and the minimum ratios of the mean life to the specified life are calculated. The important tables based on the suggested DASP are calculated and illustrated.

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