جستجوی مقالات مرتبط با کلیدواژه « pareto distribution » در نشریات گروه « ریاضی »

The stress-strength model is a commonly utilized topic in reliability studies. In many reliability analyses involving stress-strength models, it is typically assumed that the stress and strength variables are unrelated. Nevertheless, this assumption is often impractical in real-world scenarios. This research assumes that the strength and stress variables follow the Pareto distribution, and a Gumbel copula is employed to represent their relationship. Additionally, the data is gathered through the Type-I progressively hybrid censoring scheme. The method of maximum likelihood estimation is used for point estimation, while asymptotic and Bootstrap percentile confidence intervals are employed for interval estimation of the unknown parameters and system reliability. Simulation is employed to assess the effectiveness of the suggested estimators. Subsequently, an actual dataset is examined to showcase the practicality of the stress-strength model. Simulation is employed to assess the effectiveness of the suggested estimators. Subsequently, a real dataset is examined to demonstrate the practicality of the stress-strength model.

The present work concentrates on vagueness in the lifetime parameter and the generalized intuitionistic fuzzy set are extended to reliability characteristics. In order to satisfy this purpose, generalized intuitionistic fuzzy numbers are applied to evaluate the reliability of dif- ferent systems. The reliability characteristics of systems using Pareto lifetime distribution are investigated where the lifetime scale parameter is assumed to be a generalized intuitionistic fuzzy number. In general, the generalized intuitionistic fuzzy reliability function, generalized intu- itionistic fuzzy conditional reliability function, generalized intuitionistic fuzzy hazard function, generalized intuitionistic fuzzy mean time to fail- ure and their cut sets are discussed. The whole mentioned reliability functions are discussed for generalized intuitionistic fuzzy Pareto life- time systems. Furthermore, reliability analysis of the series and parallel systems are performed and numerical example is illustrated based on the proposed approach.

In this paper, Pareto distribution was studied using a standard Bayes estimator. A Pareto distribution of two parameters is investigated to find the approximation of (M.S.E) of the shape parameter by depending on Tyler series of two variables to propose a model mathematically.

ýThe aim of this paper is to study distribution of ratios of generalized order statistics from pareto distribution. parameter estimation of Pareto distribution based on generalized order statistics and ratios of them have been obtained. Inferences using method of moments and unbiased estimator have been obtained to develop point estimations. Consistency of unbiased estimator has been illustrated. To compare the performances of the employed methods, numerical results have been computed. Illustrative example using real data is also ýgiven.ý