Properties, estimations and predictions for a Poisson-half-logistic distribution based on progressively type-II censored samples

Abdel-Hamid, Alaa H.

doi:10.1016/j.apm.2016.03.007

Cited by 18 publications

(13 citation statements)

References 21 publications

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“…This prediction problem has been discussed by many authors. For example, the work of Abdel-Hamid [22], Ahmed [23], Kotb and Raqab [24] and Zhang and Shi [25]. Recall that I 0 and τ iR are the set of right censored samples and right censored time of the ith sample respectively.…”

Section: Predictionmentioning

confidence: 99%

Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution

Wang

et al. 2021

Mathematics

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In this paper, statistical inference and prediction issue of left truncated and right censored dependent competing risk data are studied. When the latent lifetime is distributed by Marshall–Olkin bivariate Rayleigh distribution, the maximum likelihood estimates of unknown parameters are established, and corresponding approximate confidence intervals are also constructed by using a Fisher information matrix and asymptotic approximate theory. Furthermore, Bayesian estimates and associated high posterior density credible intervals of unknown parameters are provided based on general flexible priors. In addition, when there is an order restriction between unknown parameters, the point and interval estimates based on classical and Bayesian frameworks are discussed too. Besides, the prediction issue of a censored sample is addressed based on both likelihood and Bayesian methods. Finally, extensive simulation studies are conducted to investigate the performance of the proposed methods, and two real-life examples are presented for illustration purposes.

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Section: Predictionmentioning

confidence: 99%

Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution

Wang

et al. 2021

Mathematics

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“…Poisson half logistic (PHL) distribution is a special case of the CGPHL when θ = 1, its properties and application to right censored data was discussed by [37]. Characterizing a probability distributions based on certain statistics are very vital tools in statistical studies.…”

Section: G Characterization Of the Poisson Half Logistic Distributiomentioning

confidence: 99%

“…The models parameters are estimated by maximum likelihood procedure. In comparison, the competing distributions include the generalized half logistic (GHL) [16], Poisson half logistic (PHL) [37], power half logistic (PwHL) [49], Olapade half logistic (OHL) [50], half logistic Poisson (HLP) [41], exponentiated generalized standardized half logistic (EGSHL) [51], generalized half logistic Poisson (GHLP) [52], Beta half logistic (BHL) [53], type I halflogistic Burr X [54], and the Half logistic (HL).…”

Section: Applicationsmentioning

confidence: 99%

A New Three Parameter Lifetime Model: The Complementary Poisson Generalized Half Logistic Distribution

Muhammad

Liu

2021

IEEE Access

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We propose a new model with flexible failure rate called complementary Poisson generalized half logistic (CPGHL). Various properties of the model are explored and examine numerically such as the explicit expressions of the moments, mean deviations, Bonferroni and Lorenz curves, Shannon and Renyi entropy. The distribution of mixture of two CPGHL and some related models based on the log-transform of CPGHL are discussed. The asymptotic of moments of residual life and asymptotic distribution of order statistics are obtained. The characterization of Poisson half logistic (PHL) by truncated moments of a certain function of a random variable is discussed. Estimation of the model parameters was approached by maximum likelihood, least square, and percentile methods. Further, the estimation by maximum likelihood for right censored data of the model were considered. The proposed estimation techniques were assessed by simulation studies. Three data applications are provided one of them is a censored data to demonstrate how the new model outperforms some other existing distribution in practice.INDEX TERMS generalized (exponentiated) half logistic model, least square estimation, maximum likelihood estimation, moments, moments residual life, percentile method of estimation, Renyi entropy, Shannon entropy

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“…It can be seen that this technique allow us to propose more realistic statistical models that extend the well-known classical models and at the same time provide great flexibility in a variety of applications. The reader is referred to the following for an overview of the compound of discrete and continuous distribution: the exponential geometric (EG) [3], Poisson-exponential (PE) [4], generalized exponential-power series (GEPS) [5], linear failure rate-power series (LFPS) [6], exponentiated Weibull-Poisson (EWP) [7], exponentiated Weibull-logarithmic (EWL) [8], exponentiated Weibull power series (EWP) [9], complementary exponentiated BurrXII Poisson (CEBXIIP) [10], Poisson-odd generalized exponential (POGE) [11], half logistic Poisson (HLP) [12], Poison half logistic (PHL) [13] among others.…”

Section: Introductionmentioning

confidence: 99%

A New Extension of the Generalized Half Logistic Distribution with Applications to Real Data

Muhammad

Liu

2019

Entropy

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In this paper, we introduced a new three-parameter probability model called Poisson generalized half logistic (PoiGHL). The new model possesses an increasing, decreasing, unimodal and bathtub failure rates depending on the parameters. The relationship of PoiGHL with the exponentiated Weibull Poisson (EWP), Poisson exponentiated Erlang-truncated exponential (PEETE), and Poisson generalized Gompertz (PGG) model is discussed. We also characterized the PoiGHL sub model, i.e the half logistic Poisson (HLP), based on certain functions of a random variable by truncated moments. Several mathematical and statistical properties of the PoiGHL are investigated such as moments, mean deviations, Bonferroni and Lorenz curves, order statistics, Shannon and Renyi entropy, Kullback-Leibler divergence, moments of residual life, and probability weighted moments. Estimation of the model parameters was achieved by maximum likelihood technique and assessed by simulation studies. The stress-strength analysis was discussed in detail based on maximum likelihood estimation (MLE), we derived the asymptotic confidence interval of R = P ( X 1 < X 2 ) based on the MLEs, and examine by simulation studies. In three applications to real data set PoiGHL provided better fit and outperform some other popular distributions. In the stress-strength parameter estimation PoiGHL model illustrated as a reliable choice in reliability analysis as shown using two real data set.

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Properties, estimations and predictions for a Poisson-half-logistic distribution based on progressively type-II censored samples

Cited by 18 publications

References 21 publications

Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution

Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution

A New Three Parameter Lifetime Model: The Complementary Poisson Generalized Half Logistic Distribution

A New Extension of the Generalized Half Logistic Distribution with Applications to Real Data

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