Record-based transmuted generalized linear exponential distribution with increasing, decreasing and bathtub shaped failure rates

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dc.contributor.authorArshad, Mohd
dc.contributor.authorKhetan, Mukti
dc.contributor.authorKumar, Vijay
dc.contributor.authorPathak, Ashok Kumar
dc.date.accessioned2024-01-21T10:35:43Z
dc.date.accessioned2024-08-13T11:17:04Z
dc.date.available2024-01-21T10:35:43Z
dc.date.available2024-08-13T11:17:04Z
dc.date.issued2022-07-29T00:00:00
dc.description.abstractThe linear exponential distribution is a generalization of the exponential and Rayleigh distributions. This distribution is one of the best models to fit data with increasing failure rate (IFR). But it does not provide a reasonable fit for modeling data with decreasing failure rate (DFR) and bathtub shaped failure rate (BTFR). To overcome this drawback, we propose a new record-based transmuted generalized linear exponential (RTGLE) distribution by using the technique of Balakrishnan and He. The family of RTGLE distributions is more flexible to fit the data sets with IFR, DFR, and BTFR, and also generalizes several well-known models as well as some new record-based transmuted models. This paper aims to study the statistical properties of RTGLE distribution, like, the shape of the probability density function and hazard function, quantile function and its applications, moments and its generating function, order and record statistics, R�nyi entropy. The maximum likelihood estimators, least squares and weighted least squares estimators, Anderson-Darling estimators, Cram�r-von Mises estimators of the unknown parameters are constructed and their biases and mean squared errors are reported via Monte Carlo simulation study. Finally, the real data sets illustrate the goodness of fit and applicability of the proposed distribution; hence, suitable recommendations are forwarded. � 2022 Taylor & Francis Group, LLC.en_US
dc.identifier.doi10.1080/03610918.2022.2106494
dc.identifier.issn3610918
dc.identifier.urihttp://10.2.3.109/handle/32116/3415
dc.identifier.urlhttps://www.tandfonline.com/doi/full/10.1080/03610918.2022.2106494
dc.language.isoen_USen_US
dc.publisherTaylor and Francis Ltd.en_US
dc.subjectDecreasing and bathtub shaped failure ratesen_US
dc.subjectGeneralized linear exponential distributionen_US
dc.subjectIncreasingen_US
dc.subjectLambert W functionen_US
dc.subjectMaximum likelihood estimationen_US
dc.subjectRecord valuesen_US
dc.subjectTransmuted distributionsen_US
dc.titleRecord-based transmuted generalized linear exponential distribution with increasing, decreasing and bathtub shaped failure ratesen_US
dc.title.journalCommunications in Statistics: Simulation and Computationen_US
dc.typeArticleen_US
dc.type.accesstypeOpen Accessen_US

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