Open AccessJournal Article
Comparison between five estimation methods for reliability function of weighted Rayleigh distribution by using simulation
TL;DR: The weighted Rayleigh distribution is derived with estimation of its reliability using five methods, including Bayes Estimation, Extension of Jeffery prior information, Maximum likelihood estimates, and MSE.
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Abstract: The Rayleigh distribution and the distribution weighted are most important distributions used in the analysis of data modeling lifelong, in this paper we derive the weighted Rayleigh distribution (WRD) with estimation of its reliability using five methods are (mle , mom, jackknife , Bayes by using Jeffery information) . we compare between these methods by ( MSE), using program (MATLAB 2011a), results will be displayed in tables especially for the purpose of to facilitate the comparison. Keywords: Bayes Estimation, weighted distribution, Rayleigh distribution, Extension of Jeffery prior information, Maximum likelihood estimates .
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Citations
Survival Distributions: Reliability Applications in the Biomedical Sciences
TL;DR: In this paper, survival distributions for reliability applications in the Biomedical Sciences are discussed, with a focus on the reliability of the distribution of survival distributions in the field of bio-medical applications.
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On Reliability Estimation of Stress-Strength (S-S)Modified Exponentiated Lomax Distribution
Bareq B Selman
- 31 Aug 2019
Abstract: This paper deals with estimation ofthe stress-strength reliability for modified exponentiated Lomax distribution the suggested approach biased on using different estimation methods such as, Maximum likelihood method, Moment method, Least square method and Shrinkage methods, numerical study via MATLAB software, has been done and comparison between the obtained results has been carried out according to mean square error, the results showed that the effectiveness of these estimators which evaluated using Monte-Carlo simulation study.
4
Applying the Shrinkage Technique for Estimating the Scale Parameter of Weighted Rayleigh Distribution
TL;DR: In this article, the estimation of the scale parameter of weighted Rayleigh distribution using well-known methods of estimation (classical and Bayesian) were compared using Monte Carlo simulation based on mean squared error (MSE) criteria.
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A Nonlinear Subspace Approach for Parametric Estimation of PDFs from Short Data Records with Application to Rayleigh Fading
TL;DR: The approach is developed and basic proofs of correctness are carried-out for the Rayleigh distribution, which is used to characterize wireless communication channels experiencing fast fading in heavily cluttered environments and the ability of the suggested approach to estimate other density functions including the two-parameter lognormal distribution used to characterized shadowing in wireless communication.
A Nonlinear Subspace Approach for Parametric Estimation of PDFs from Short Data Records with Application to Rayleigh Fading
TL;DR: In this paper , the authors propose a real-time parametric estimation of a wide class of probability density functions from limited datasets using a nonlinear subspace that the parameter space of the distribution creates in the measurement sample space.
References
Survival Distributions: Reliability Applications in the Biomedical Sciences
TL;DR: In this paper, survival distributions for reliability applications in the Biomedical Sciences are discussed, with a focus on the reliability of the distribution of survival distributions in the field of bio-medical applications.
563
Jacknife estimation of functions of stratum means
TL;DR: In this article, the authors apply the jackknife method to stratified samples from a multivariate population of finite size, where the data omitted are those for a group of sampling units that cut across all strata, thereby compacting the region where approximate relationships are assumed to hold.
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The Burr distribution as a general parametric family in survivorship and reliability theory applications
A. W. Lewis
- 01 Jan 1981
TL;DR: In this paper, the authors proposed a method to solve the problem of "uniformity" in the following manner: Approved by: "j. "j.,.1981
35
Bayes Estimator for Exponential Distribution with Extension of Jeffery Prior Information
Hadeel Salim Alkutubi,Noor Akma Ibrahim +1 more
- 01 Jan 2009
TL;DR: In this article, the extension of Jeffery prior information with new loss function for estimating the parameter of exponential distribution of life time is presented, and the performance of this estimator was compared to the standard Bayes with Jeffery Prior Information with respect to the mean square error (MSE) and mean percentage error (MPE).
Estimation of the location and scale parameters of generalized exponential distribution based on order statistics
Mohammad M. Raqab,M. Ahsanullah +1 more
TL;DR: In this article, the exact forms of means, variances and covariances of order statistics were derived for the generalized exponential distribution with known shape parameter Θ, and the necessary coefficients for the best linear unbiased estimators of the location and scale parameters for Θ = 0.5(0.5)5.