STM Journals Peer-reviewed research from Consortium e-Learning Network

4 publications

  • Published Subscription

    On a Generalization of Gumbel-Uniform Distribution

    By Jeena Joseph, K. K. Jose

    Abstract: In this paper, we introduce a generalization of Gumbel-Uniform distribution namely Marshall-Olkin Gumbel Uniform distribution and its properties are studied in detail. The expressions for survival function, quantile function, hazard function, etc. are derived and the shape properties are explored. The parameters are estimated using maximum likelihood estimation method. The new model is applied to a real data set on breaking stress of carbon fibres and it is established that …

    Published in Research & Reviews : Journal of Statistics · Vol. 7, Issue 2, 2018 · pp. 21–26 Read article

  • Published Subscription

    Applications of Marshall-Olkin Generalized Family of Distributions

    By Lishamol Tomy, K. K. Jose, Sophia P. Thomas

    Abstract: In this paper, we discuss the applications of Marshall-Olkin extended distributions introduced by Marshall and Olkin A new method for adding a parameter to a family of distributions with Application to the Exponential and Weibull Families, Biometrica, 84, 641-652. We provide several applications of the Marshall-Olkin extended family of distributions in reliability theory, entropy analysis, stress-strength reliability modelling, exponentiated generalized distributions, acceptance sampling inspection plans, record values and autoregressive minification …

    Published in Research & Reviews : Journal of Statistics · Vol. 7, Issue 1, 2018 · pp. 22–37 Read article

  • Published Subscription

    Wrapped Fernandez and Steel's Skewed Laplace Distribution and its Applications in Ornithology

    By K. K. Jose, Jisha Varghese

    Abstract: In this paper, we introduce a new circular distribution called Wrapped Fernandez and Steel's Skewed Laplace distribution. We obtain explicit form for the density and derive expressions for distribution function, characteristic function and trigonometric moments. Method of maximum likelihood estimation is used for estimation of parameters. The proposed model is also applied to two real life data sets in ornithology and its performance is compared with that of wrapped Laplace …

    Published in Research & Reviews : Journal of Statistics · Vol. 6, Issue 3, 2017 · pp. 73–83 Read article

  • Published Subscription

    Marshall-Olkin Exponential Power Distribution and Applications

    By K. K. Jose, Albin Paul

    Abstract: We introduce a new distribution namely Marshall-Olkin Exponential Power Distribution and its properties were studied. The problem of estimation of parameters was considered and validated with respect to a real data on failure times. The stress-strength reliability analysis was also carried out. Average mean square error, Average confidence length, Coverage probability etc. were computed using simulated data. Using the proposed model we developed autoregressive processes with minification structure. Keywords: Marshall-Olkin …

    Published in Research & Reviews : Journal of Statistics · Vol. 6, Issue 3, 2017 · pp. 22–33 Read article

Support