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Showing 4 results for Razmkhah
Mostafa Razmkhah, Jafar Ahmadi, Bahareh Khatib Astaneh,
Volume 1, Issue 1 (9-2007)
Abstract
A sequence of observations in which only successive minimum (maximum) values are observed are called record values. One sampling scheme for generating record values is: "Data are obtained via the inverse sampling scheme, where items are presented sequentially and sampling is terminated when n'th record is observed''. In this plan, the expectation of inter record times are infinite and in practice the number of records are few. Under the assumption that the process of observing record values can be replicated, one may consider the repetition of inverse sampling plan to achieve the specific number of records. In the latter scheme, we assume $m$ independent samples are obtained sequentially from the parent distribution and only recod data are observed. Two sampling (consecutive and repetition) plan are compared with regard to Fisher information contained in the extracted record data and general results are obtained. The proposed procedure is illustrated by considering several life time distributions such as Exponential, Burr XII and Weibull.
Samaneh Jalambadanis, Mostafa Razmkhah,
Volume 6, Issue 2 (2-2013)
Abstract
In a sequence of multivariate random variables, when the experimenter is interested in ordering one of the variables, the corresponding ordered random variables are referred to as concomitants. In this paper, the distribution properties of the bivariate concomitants of record values and order statistics are first studied. Then, by considering the trivariate pseudo exponential family, the amount of Fisher information contained in these random variables is investigated.
Jafar Ahmadi, Mansoureh Razmkhah,
Volume 11, Issue 1 (9-2017)
Abstract
Consider a repairable system which starts operating at t=0. Once the system fails, it is immediately replaced by another one of the same type or it is repaired and back to its working functions. In this paper, the system's activity is studied from t>0 for a fixed period of time w. Different replacement policies are considered. In each cases, for a fixed period of time w, the probability model and likelihood function of repair process, say window censored, are obtained. The obtained results depend on the lifetime distribution of the original system, so, expression for the maximum likelihood estimator and Fisher information are derived, by assuming the lifetime follows an exponential distribution.
Zahra Saberzadeh, Mostafa Razmkhah,
Volume 13, Issue 1 (9-2019)
Abstract
The complex systems containing of n elements are considered, each having two dependent components. The main goal of this paper is to investigate the mean residual life of such systems with some intact components at time t. Toward this end, the bivariate binomial model and also two different generalizations are described. Finally, some graphical and numerical analyses are provided for mean residual life of such systems under Farlie-Gumbel-Morgenstern model.
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