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    Wyświetlanie 1-8 z 8
    Tytuł:
    Sujatha Distribution and its Applications
    Autorzy:
    Shanker, Rama
    Powiązania:
    https://bibliotekanauki.pl/articles/465746.pdf
    Data publikacji:
    2016
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    lifetime distributions
    Akash distribution
    Shanker distribution
    Lindley distribution
    mathematical and statistical properties
    estimation of parameter
    goodness of fit
    Opis:
    In this paper a new one-parameter lifetime distribution named “Sujatha Distribution” with an increasing hazard rate for modelling lifetime data has been suggested. Its first four moments about origin and moments about mean have been obtained and expressions for coefficient of variation, skewness, kurtosis and index of dispersion have been given. Various mathematical and statistical properties of the proposed distribution including its hazard rate function, mean residual life function, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability have been discussed. Estimation of its parameter has been discussed using the method of maximum likelihood and the method of moments. The applications and goodness of fit of the distribution have been discussed with three real lifetime data sets and the fit has been compared with one-parameter lifetime distributions including Akash, Shanker, Lindley and exponential distributions.
    Źródło:
    Statistics in Transition new series; 2016, 17, 3; 391-410
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the characterisation of X-Lindley distribution by truncated moments. Properties and application
    Autorzy:
    Metiri, Farouk
    Zeghdoudi, Halim
    Ezzebsa, Abdelali
    Powiązania:
    https://bibliotekanauki.pl/articles/2175833.pdf
    Data publikacji:
    2022
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    Lindley distribution
    X-Lindley distribution
    truncated moment
    failure rate function
    reversed failure rate function
    characterisation of distributions
    Opis:
    Several papers introduce the new distributions and their applications, including, among others, those of Ducey and Gove [7], Grine and Zeghdoudi [8], Chouia et al. [5], Seghier et al. [11], Beghriche and Zeghdoudi [4], where characterisation of a probability distribution plays an important role in statistical science. Several researchers studied the characterisations of probability distributions. For example, Su and Huang [12] study the characterisations of distributions based on expectations. In addition, Nanda [10] studies the characterisations by average residual life and the failure rates of functions of absolutely continuous random variables. Ahmadi et al. [1] consider the estimation based on the left-truncated and right randomly censored data arising from a general family of distributions. On the other hand, Ahsanullah et al. [2, 3] present two characterisations of Lindley distribution, standard normal distribution, t-Student’s, exponentiated exponential, power function, Pareto, and Weibull distributions based on the relation of failure rate, reverse failure rate functions with left and right truncated moments. Recently, Haseeb and Yahia [9] studied truncated moments for two general classes of continuous distributions. In this paper, two characterisations of the X-Lindley distribution, introduced by Chouia and Zeghdoudi [5] have been studied. They are based on the failure, relation of the inverse failure rate functions with the left and right truncated moments, respectively. Section 2 gives some properties of X-Lindley distribution. Section 3 discusses the characterisation of general distribution by left truncated and failure rate function and then right truncated and reverse failure rate function. Section 4 studies the characterisation of X-Lindley distribution by using the relation between left/right truncated moment and failure/reverse failure rate function. Finally, an illustrative example of X-Lindley distribution with other one-parameter distributions is given to show the superiority and flexibility of this model.
    Źródło:
    Operations Research and Decisions; 2022, 32, 1; 99--109
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Odd log-logistic generalised Lindley distribution with properties and applications
    Autorzy:
    Ranjbar, Vahid
    Eftekharian, Abbas
    Kharazmi, Omid
    Alizadeh, Morad
    Powiązania:
    https://bibliotekanauki.pl/articles/18707217.pdf
    Data publikacji:
    2023-09-08
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Lindley distribution
    odd log-logistic generalised family
    moments
    Bayesian analysis
    simulation study
    Opis:
    In this paper, a new three-parameter lifetime model, called the odd log-logistic generalised Lindley distribution, is introduced. Some structural properties of the new distribution including ordinary and incomplete moments, quantile and generating functions and order statistics are obtained. The new density function can be expressed as a linear mixture of exponentiated Lindley densities. Different methods are discussed to estimate the model parameters and a simulation study is carried out to show the performance of the new distribution. The importance and flexibility of the new model are also illustrated empirically by means of two real data sets. Finally, Bayesian analysis and Gibbs sampling are performed based on the two real data sets.
    Źródło:
    Statistics in Transition new series; 2023, 24, 4; 71-92
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    New polynomial exponential distribution: properties and applications
    Autorzy:
    Beghriche, Abdelfateh
    Zeghdoudi, Halim
    Raman, Vinoth
    Chouia, Sarra
    Powiązania:
    https://bibliotekanauki.pl/articles/2108330.pdf
    Data publikacji:
    2022-09-14
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    exponential distribution
    Xgamma distribution
    Lindley distribution
    quantile function stochastic ordering
    maximum-likelihood estimation
    XLindley distribution
    Opis:
    The study describes the general concept of the XLindley distribution. Forms of density and hazard rate functions are investigated. Moreover, precise formulations for several numerical properties of distributions are derived. Extreme order statistics are established using stochastic ordering, the moment method, the maximum likelihood estimation, entropies and the limiting distribution. We demonstrate the new family's adaptability by applying it to a variety of real-world datasets.
    Źródło:
    Statistics in Transition new series; 2022, 23, 3; 95-112
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalised Lindley shared additive frailty regression model for bivariate survival data
    Autorzy:
    Pandey, Arvind
    Hanagal, David D.
    Tyagi, Shikhar
    Powiązania:
    https://bibliotekanauki.pl/articles/2156991.pdf
    Data publikacji:
    2022-12-15
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Bayesian estimation
    frailty
    generalised Lindley frailty
    generalised log-logistic distribution
    generalised Weibull distribution
    hazard rate
    MCMC
    random censoring
    Opis:
    Frailty models are the possible choice to counter the problem of the unobserved heterogeneity in individual risks of disease and death. Based on earlier studies, shared frailty models can be utilised in the analysis of bivariate data related to survival times (e.g. matched pairs experiments, twin or family data). In this article, we assume that frailty acts additively to the hazard rate. A new class of shared frailty models based on generalised Lindley distribution is established. By assuming generalised Weibull and generalised log-logistic baseline distributions, we propose a new class of shared frailty models based on the additive hazard rate. We estimate the parameters in these frailty models and use the Bayesian paradigm of the Markov Chain Monte Carlo (MCMC) technique. Model selection criteria have been applied for the comparison of models. We analyse kidney infection data and suggest the best model.
    Źródło:
    Statistics in Transition new series; 2022, 23, 4; 161-176
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    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
    Tytuł:
    A Two-Parameter Lindley Distribution
    Autorzy:
    Shanker, R.
    Mishra, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/465861.pdf
    Data publikacji:
    2013
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Lindley distribution
    moments
    failure rate function
    mean residual life function
    stochastic ordering
    estimation of parameters
    goodness of fit
    Opis:
    A two-parameter Lindley distribution, of which the Lindley distribution (LD) is a particular case, has been introduced. Its moments, failure rate function, mean residual life function and stochastic orderings have been discussed. The maximum likelihood method and the method of moments have been discussed for estimating its parameters. The distribution has been fitted to some data-sets to test its goodness of fit.
    Źródło:
    Statistics in Transition new series; 2013, 14, 1; 45-56
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A comparison study on a new five-parameter generalized Lindley distribution with its sub-models
    Autorzy:
    Tharshan, Ramajeyam
    Wijekoon, Pushpakanthie
    Powiązania:
    https://bibliotekanauki.pl/articles/1363562.pdf
    Data publikacji:
    2020-06-05
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    Lindley distribution
    mixture distributions
    size-biased distributions
    maximum likelihood estimation
    Opis:
    In recent years, modifications of the classical Lindley distribution have been considered by many authors. In this paper, we introduce a new generalization of the Lindley distribution based on a mixture of exponential and gamma distributions with different mixing proportions and compare its performance with its sub-models. The new distribution accommodates the classical Lindley, Quasi Lindley, Two-parameter Lindley, Shanker, Lindley distribution with location parameter, and Three-parameter Lindley distributions as special cases. Various structural properties of the new distribution are discussed and the size-biased and the lengthbiased are derived. A simulation study is conducted to examine the mean square error for the parameters by means of the method of maximum likelihood. Finally, simulation studies and some real-world data sets are used to illustrate its flexibility in terms of its location, scale and shape parameters.
    Źródło:
    Statistics in Transition new series; 2020, 21, 2; 89-117
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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