4 research outputs found
Survival analysis based on an enhanced Rayleigh-inverted Weibull model
No full textThis study proposes a two-parameter survival model based on the Kavya-Manoharan transformation family and the Rayleigh-inverted Weibull distribution, the so-called Kavya-Manoharan-Rayleigh inverted Weibull distribution (KMRIWD). Various reliability measures and statistical properties of this distribution are analyzed. The parameters of the distribution are estimated using the maximum likelihood method and different sampling techniques. Using Monte Carlo simulations, the performance of the estimators is evaluated and compared. Finally, the model and numerous competitors are compared using real data sets, and it is shown that the KMRIWD has a better fit than all the competitors
Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples
No full textThis paper proposed a new probability distribution, namely, the half-logistic xgamma (HLXG) distribution. Various statistical properties, such as, moments, incomplete moments, mean residual life, and stochastic ordering of the proposed distribution, are discussed. Parameter estimation of the half-logistic xgamma distribution is approached by the maximum likelihood method based on complete and censored samples. Asymptotic confidence intervals of model parameters are provided. A simulation study is conducted to illustrate the theoretical results. Moreover, the model parameters of the HLXG distribution are estimated by using the maximum likelihood, least square, maximum product spacing, percentile, and Cramer–von Mises (CVM) methods. Superiority of the new model over some existing distributions is illustrated through three real data sets
A Generalized Skew of type IV Logistic Distribution
No full textIn this paper, we derive, the probability density function (pdf) and cumulative distribution function (CDF) of the skew type IV generalized logistic distribution GSLD IV . The general statistical properties of the GSLD IV . such as: the moment generating function (mgf), characteristic function (ch.f), Laplace and fourier transformations are obtained in explicit form. Expressions for the nth moment, skewness and kurtosis coefficients are discussed. The mean deviation about the mean and about the median are also obtained. We consider the general case by inclusion of location and scale parameters. The results of Asgharzadeh (2013) are obtained as special cases. Graphically illustration of some results have been represented. Further we present a numerical example to illustrate some results of this paper. Keywords: skew type IV generalized logistic distribution, moment generating function, skewness, kurtosis, mean deviation
A Two-Parameter Model: Properties and Estimation under Ranked Sampling
No full textThis study introduces a flexible model with two parameters by combining the type II half-logistic-G family with the inverted Topp–Leone distribution. The proposed model is referred to as the half logistic inverted Topp–Leone (HLITL) distribution. The associated probability density function can be considered a mixture of the inverted Topp–Leone distributions. The proposed model can be deemed an acceptable model for fitting the right-skewed, reversed J-shaped, and unimodal data. The statistical properties, including the moments, Bonferroni and Lorenz curves, Rényi entropy, and quantile function, are derived. Additionally, the plots of the skewness and kurtosis measures are plotted based on the quantiles. The parameter estimators are implemented using the maximum likelihood method based on two sampling schemes: the simple random sample method and the ranked set sampling method. The proposed method is evaluated by using simulations. The results show that the maximum likelihood estimates of the parameters under ranked set sampling are more accurate than those under simple random sampling. Generally, there is good agreement between the theoretical and empirical results. Two real datasets are used to compare the HLITL model with the following models: alpha power exponential, alpha power Lindley, odd Fréchet inverse exponential, and odd Fréchet inverse Rayleigh models. The comparison results show that the HLITL model represents a better alternative lifetime distribution than the other competitive distributions
