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    Wyświetlanie 1-4 z 4
    Tytuł:
    The length-biased power hazard rate distribution: Some properties and applications
    Autorzy:
    Mustafa, Abdelfattah
    Khan, M. I.
    Powiązania:
    https://bibliotekanauki.pl/articles/2106877.pdf
    Data publikacji:
    2022-06-14
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    length-biased
    power hazard rate distribution
    maximum likelihood estimation
    Opis:
    In this article, the length-biased power hazard rate distribution has introduced and investigated several statistical properties. This distribution reports an extension of several probability distributions, namely: exponential, Rayleigh, Weibull, and linear hazard rate. The procedure of maximum likelihood estimation is taken for parameters. Finally, the applicability of the model is explored by three real data sets. To examine, the performance of the technique, a simulation study is extracted.
    Źródło:
    Statistics in Transition new series; 2022, 23, 2; 1-16
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalized extended Marshall-Olkin family of lifetime distributions
    Autorzy:
    Goldoust, Mehdi
    Mohammadpour, Adel
    Powiązania:
    https://bibliotekanauki.pl/articles/2034093.pdf
    Data publikacji:
    2022-03-15
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    compound distribution
    hazard rate function
    lifetime distribution
    maximum likelihood estimation
    power series distribution
    Opis:
    We introduce a new generalized family of nonnegative continuous distributions by adding two extra parameters to a lifetime distribution, called the baseline distribution, by twice compounding a power series distribution. The new family, called the lifetime power series-power series family, has a serial arrangement of parallel structures, which extends the Marshall and Olkin structure. Four special models are discussed. A mathematical treatment of the new distributions is provided, including ordinary and incomplete moments, quantile, moment generating and mean residual functions. The maximum likelihood estimation technique is used to estimate the model parameters and a simulation study is conducted to investigate the performance of the maximum likelihood estimates. Its applicability is also illustrated by means of two real data sets.
    Źródło:
    Statistics in Transition new series; 2022, 23, 1; 55-74
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Agu-Eghwerido distribution, regression model and applications
    Autorzy:
    Agu, Friday Ikechukwu
    Eghwerido, Joseph Thomas
    Powiązania:
    https://bibliotekanauki.pl/articles/1917110.pdf
    Data publikacji:
    2021-12-08
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    AGUE distribution
    AGUE regression model
    moment generating function
    means residual function
    hazard rate function
    survival rate function
    Opis:
    Modelling lifetime data with simple mathematical representations and an ease in obtaining the parameter estimate of survival models are crucial quests pursued by survival researchers. In this paper, we derived and introduced a one-parameter distribution called the Agu-Eghwerido (AGUE) distribution with its simple mathematical representation. The regression model of the AGUE distribution was also presented. Several basic properties of the new distribution, such as reliability measures, mean residual function, median, moment generating function, skewness, kurtosis, coefficient of variation, and index of dispersion, were derived. The estimation of the proposed distribution parameter was based on the maximum likelihood estimation method. The real-life applications of the distribution were illustrated using two real lifetime negatively and positively skewed data sets. The new distribution provides a better fit than the Pranav, exponential, and Lindley distributions for the data sets. The simulation results showed that the increase in parameter values decreases the mean squared error value. Similarly, the mean estimate tends towards the true parameter value as the sample sizes increase.
    Źródło:
    Statistics in Transition new series; 2021, 22, 4; 59-76
    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
      Wyświetlanie 1-4 z 4

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