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Showing 5 results for Mean Residual Life
Volume 17, Issue 2 (3-2013)
Abstract
In the study of reliability of the technical systems, records model play an important role. Assume that the lower limit value of the first record is known, then we propose a definiton of the mean residual life of the future record. We predict mean residual of the future records under condition that the lower limit value of the mth record is known.
Furthermore, we present generalization of the mean residual life of record based on the sequance of k-recordsand study its various properties. Finally some simulation results are provided.
Mahdi Tavangar, Miri,
Volume 19, Issue 1 (6-2014)
Abstract
The equilibrium distributions have many applications in reliability theory, stochastic orderings and random processes. The purpose of this paper is to introduce the equilibrium distributions and presents some results related to this issue. Some results are based on order statistics. In this paper, the generalized Pareto distributions are also analyzed and some basic relationships between the equilibrium distributions are presented.
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Volume 22, Issue 2 (3-2018)
Abstract
In this paper, a new probability distribution, based on the family of hyperbolic cosine distributions is proposed and its various statistical and reliability characteristics are investigated. The new category of HCF distributions is obtained by combining a baseline F distribution with the hyperbolic cosine function. Based on the base log-logistics distribution, we introduce a new distribution so-called HCLL and derive the various properties of the proposed distribution including the moments, quantiles, moment generating function, failure rate function, mean residual lifetime, order statistics and stress-strength parameter. Estimation of the parameters of HCLL for a real data set is investigated by using three methods: maximum likelihood, Bayesian and bootstrap (parametric and non-parametric). We evaluate the efficiency of the maximum likelihood estimation method by Monte Carlo simulation.
In addition, in the application section, by using a realistic data set, the superiority of HCLL model to generalized exponential, Weibull, hyperbolic cosine exponential, gamma, weighted exponential distributions is shown through the different criteria of selection model.
Mohamad Hosein Poursaeed,
Volume 23, Issue 2 (3-2019)
Abstract
The censored data are widely used in statistical tests and parameters estimation. In some cases e.g. medical accidents which data are not recorded at the time of occurrence, some methods such as interval censoring are used. In this paper, for a random sample uniformly distributed on the interval (0,θ) the interval censoring have been used. A consistent estimator of θ and some asymptotically confidence intervals for θ are presented.
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Volume 24, Issue 2 (3-2020)
Abstract
The Kumaraswamy distribution is a two-parameter distribution on the interval (0,1) that is very similar to beta distribution. This distribution is applicable to many natural phenomena whose outcomes have lower and upper bounds, such as the proportion of people from society who consume certain products in a given interval.
In this paper, we introduce the family of Kumaraswamy-G distribution, and we detect its hazard rate function, reversible hazard rate function, mean residual life function, mean past life function, and the behavior of each of them. Also, we investigate the stochastic order concept of the family of Kumaraswamy-G distribution. Finally, in the form of a practical example, we analyze the suitability of the Kumaraswamy distribution for real data.
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