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    Wyświetlanie 1-6 z 6
    Tytuł:
    Type II Topp-Leone Frechet distribution: properties and applications
    Autorzy:
    Shanker, Rama
    Rahman, Umme Habibah
    Powiązania:
    https://bibliotekanauki.pl/articles/1917058.pdf
    Data publikacji:
    2021-12-08
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Frechet distribution
    Topp-Leone distribution
    reliability properties
    applications
    Opis:
    The paper focuses on type II Topp-Leone Frechet distribution. Its properties including hazard rate function, reverse hazard rate function, Mills ratio, quantile function and order statistics have been studied. The maximum likelihood estimation used for estimating the parameters of the proposed distribution has been explained and expressions for the Fisher information matrix and confidence intervals have been provided. The paper discusses the applications of the distribution for modeling several datasets relating to temperature. Finally, the goodness of fit of the proposed distribution has been compared with that of the Frechet distribution.
    Źródło:
    Statistics in Transition new series; 2021, 22, 4; 139-152
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Information Geometry of Frechet Distributions
    Autorzy:
    Arwini, Khadiga Ali
    Powiązania:
    https://bibliotekanauki.pl/articles/1030590.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Frechet distribution
    extreme value distributions
    information geometry
    statistical manifold
    Opis:
    Using the Fisher information matrix (FIM) as a Riemannian metric, the family of Frechet distributions determines a two dimensional Riemannian manifold. In this paper we illustrates the information geometry of the Frechet space, and derive the α-geometry as; α-connections, α-curvature tensor, α-Ricci curvature with its eigenvalues and eigenvectors, α-sectional curvature, α-mean curvature, and α-scalar curvature, where we show that Frechet space has a constant α-scalar curvature. The special case where α = 0 corresponds to the geometry induced by the Levi-Civita connection. In addition, we consider three special cases of Frechet distributions as submanifolds with dimension one, and discuss their geometrical structures, then we prove that one of these submanifolds is an isometric isomorph of the exponential manifold, which is important in stochastic process since exponential distributions represent intervals between events for Poisson processes. After that, we introduce log-Frechet distributions, and show that this family of distributions determines a Riemannian 2-manifold which is isometric with the origin manifold. Finally, an explicit expressions for some distances in Frechet space are obtained as, Kullback-Leibler distance, and J-divergence.
    Źródło:
    World Scientific News; 2020, 144; 296-312
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalised Odd Frechet Family of Distributions: Properties and Applications
    Autorzy:
    Marganpoor, Shahdie
    Ranjbar, Vahid
    Alizadeh, Morad
    Abdollahnezhad, Kamel
    Powiązania:
    https://bibliotekanauki.pl/articles/1058928.pdf
    Data publikacji:
    2020-09-04
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Frechet distribution
    Wiebull distribution
    structural properties
    failure-time
    maximum likelihood estimation
    Opis:
    A new distribution called Generalized Odd Fréchet (GOF) distribution is presented and its properties explored. Some structural properties of the proposed distribution, including the shapes of the hazard rate function, moments, conditional moments, moment generating function, skewness, and kurtosis are presented. Mean deviations, Lorenz and Bonferroni curves, Rényi entropy, and the distribution of order statistics are given. The maximum likelihood estimation technique is used to estimate the model parameters, and finally applications of the model to a real data set are presented to illustrate the usefulness of the proposed distribution.
    Źródło:
    Statistics in Transition new series; 2020, 21, 3; 109-128
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of COVID-19 and cancer data using new half-logistic generated family of distributions
    Autorzy:
    Khan, Sadaf
    Tahir, Muhammad H.
    Jamal, Farrukh
    Powiązania:
    https://bibliotekanauki.pl/articles/29127967.pdf
    Data publikacji:
    2023
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    half-logistic distribution
    generalized family
    likelihood estimation
    bio-medical data
    Frechet distribution
    Opis:
    We focus on a specific sub-model of the proposed family that we call the new half logistic-Fréchet. This sub-model stems from a new generalisation of the half-logistic distribution which we call the new half-logistic-G. The novelty of proposing this new family is that it does not include any additional parameters and instead relies on the baseline parameter. Standard statistical formulas are used to show the forms of the density and failure rate functions, ordinary and incomplete moments with generating functions, and random variate generation. The maximum likelihood estimation procedure is used to estimate the set of parameters. We conduct a simulation analysis to ensure that our calculations are converging with lower mean square error and biases. We use three real-life data sets to equate our model to well-established existing models. The proposed model outperforms the well-established four parameters beta Fréchet and exponentiated generalized Fréchet for some real- -life results, with three parameters such as half-logistic Fréchet, exponentiated Fréchet, Zografos–Balakrishnan gamma Fréchet, Topp–Leonne Fréchet, and Marshall–Olkin Fréchet and two-parameter classical Fréchet distribution.
    Źródło:
    Operations Research and Decisions; 2023, 33, 4; 71--95
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extreme value distributions in the analysis of traffic time on the Świnoujście–Szczecin fairway
    Autorzy:
    Kasyk, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/135336.pdf
    Data publikacji:
    2016
    Wydawca:
    Akademia Morska w Szczecinie. Wydawnictwo AMSz
    Tematy:
    traffic time
    fairway
    generalized extreme value distributions
    Frechet distribution
    crossing time
    simulated models
    Opis:
    The present article addresses the issue of crossing time on the fairway, modeling in restricted areas, where vessel traffic flow is disturbed. Data of movement time on the Świnoujście–Szczecin fairway was grouped according to ship type. The probability distributions describing the crossing time of different ship groups were analyzed. Using the Pearson chi-square goodness-of-fit and Cramer–von Mises tests it has been shown that the best distributions describing traffic time of all ship groups are the generalized extreme value distributions.
    Źródło:
    Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2016, 47 (119); 80-84
    1733-8670
    2392-0378
    Pojawia się w:
    Zeszyty Naukowe Akademii Morskiej w Szczecinie
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Characterisation of some generalised continuous distributions by doubly truncated moments
    Autorzy:
    Athar, Haseeb
    Ahsanullah, Mohammad
    Ali, Mohd. Almech
    Powiązania:
    https://bibliotekanauki.pl/articles/2204096.pdf
    Data publikacji:
    2023
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    truncated moment
    characterisation
    probability distribution
    Weibull
    power function
    Frechet
    Pareto
    Lindley
    Opis:
    The characterisation of probability distribution plays an important role in statistical studies. There are various methods of characterisation available in the literature. The characterisation using truncated moments limits the observations; hence, researchers may save time and cost. In this paper, the characterisation of three general forms of continuous distributions based on doubly truncated moments has been studied. The results are given simply and explicitly. Further, the results have been applied to some well-known continuous distributions.
    Źródło:
    Operations Research and Decisions; 2023, 33, 1; 1--19
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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